analise exergia e produçao entropia

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On exergy analysis and entropy production minimisation in indutrial ecology Doctoral thesis for the degree of doktor engeniør Trondheim, September 2006 Norwegian University of Science and Technology Faculty of Natural Sciences and Technology Department of Chemistry Anita Zvolinschi Innovation and Creativity

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Page 1: Analise Exergia e Produçao Entropia

On exergy analysis andentropy productionminimisation in indutrial ecology

Doctoral thesisfor the degree of doktor engeniør

Trondheim, September 2006

Norwegian University of Science and TechnologyFaculty of Natural Sciences and TechnologyDepartment of Chemistry

Anita Zvolinschi

I n n o v a t i o n a n d C r e a t i v i t y

Page 2: Analise Exergia e Produçao Entropia

NTNUNorwegian University of Science and Technology

Doctoral thesisfor the degree of doktor enginiør

Faculty of Natural Sciences and TechnologyDepartment of Chemistry

© Anita Zvolinschi

ISBN 82-471-8068-5 (printed version)ISBN 82-471-8067-7 (electronic version)ISSN 1503-8181

Doctoral theses at NTNU, 2006:151

Printed by NTNU-trykk

Page 3: Analise Exergia e Produçao Entropia

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Page 4: Analise Exergia e Produçao Entropia

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Page 30: Analise Exergia e Produçao Entropia

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Page 31: Analise Exergia e Produçao Entropia

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Page 32: Analise Exergia e Produçao Entropia

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Page 33: Analise Exergia e Produçao Entropia

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Page 45: Analise Exergia e Produçao Entropia

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Page 46: Analise Exergia e Produçao Entropia

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Page 47: Analise Exergia e Produçao Entropia

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Page 52: Analise Exergia e Produçao Entropia

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Page 53: Analise Exergia e Produçao Entropia

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α =Ein,renewable

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Page 54: Analise Exergia e Produçao Entropia

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Page 85: Analise Exergia e Produçao Entropia

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1 Þ\ß"àGßá:âãnäKå-æ/ç² D @~@ b7 A 7 @ + Ò 3/>"@A 9ES X @A + ?3~ ,/, ð&3/IJ 7K6EL/Dx7:9 [ M @g> S 6 >"X 687:9 [q 6 P 7:9D @zX DlMO7 P 5 PKX 7> 9w987:989Ey±7 @ S >"@A [ S 7K6 >"~~X D P1> SED [ @ 9 3 f _-oNtOuqi¢g¢ +, 0/ Ý&, /3² D @~@ b7 A 7 @ + Ò 3 + a [ g>"@ 989 [ @ + a3 + D @A + ?3W>"@A B [ ³^7K6EL + 4 3GF0/2/2/23ØÎ] s:ohKihKjxorqw:oNwnoN_¤k¸s|oN_-oKtuqisntEkq Kk/jü]Opz©¨r"K!o1ËRkqt *]`_TuóWrnmoNtÌÖéR«Ê"!#)3&ë@ DGb7K689EDGS5[ MÖQTS [ P [ X y 3 QTS [ P [ X y + Q 7 A 7 @3² DGSE½:y [ 6E6EDx9 +; 3\IØ3W>"@AÅBÚ>" +; 3 Q 3\¶=3 ,/ 23\¬ y 6 [ b&D @ L A Dx9ESED XGXY> SED [ @ P [ X y @A 7:98DGL @ 9ED @ LêS 7K6Ey [ A 5 >"@ yzD PR> b > D XY> ³~D X DGS5 >"@g>"X 59EDx9 3ÄîqÈ f ¹&kqTtN_rqj¨ï¢ + 0/ .)Ý0ð*H3² [ @ 5 [ +$ 3^ , ð*H3 7K6Ey [ A 5 @g> yzD P|>"@g>"X 59EDx9 [ M´687 P SED gP1> SED [ @3¬N3 ; 7Kb7K689EDG³ X 7y [ A 7 X[ M?687 P SED gP1> SED [ @3^în_!oNtn_-r/]k/_rqj¹Tk/TtN_rqjkEsȪoN]hwrqj f _Tuq]_-o8oKtn]_TuïT + )Ý 0ð&3² ìq6 XY>"@A + 3 Q 3 + ² ìq6 XY>"@A + ¥3>"@A \µ 7 X 9ESE6 + Q 3GF¥0/2/2/3´întnt8oN"oKtwN]ONjxoº´ªoNtN±k1pqiqÀ_-rq]hN1˺´ªoEkqtNirq_-p=Ä\mmj]h8r]kq_3g 6 A3 7 A@3>" DG6 3 6 [ @A 7KDGy + [ 6 > 5 3² 6 > SE½ P8 7K6 + 3GF( , /03ô=oNtÄ_ª&rq_TuÇÿKéËÖóØË%|&"rqjGkq©<]KhNªÑ!o8hNª_]`KhNª~oº´ªoNtNÀ±k1p/i"_-rq]'qË f ]_1s u tN&_Tu|poN f<¦ oKtuq]vo18ovuqtn] (on]`_p/]Oo!o8hNª_]`KhNª~oº´ªoKtn±k1pqiq_r/=])*3® @ [ A3~?> 6EDx9 3² 6 > SE½19 P8 7K6 + 3´ , /3-IJ 7K6EL7KSED P1>"X 7 ÓP Dx7 @P 5 3*Wt8oN_~Kvk+(WÀ,

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Þ\ß"àGßá:âãnäKå-æ/ç 1 ,Ò 7 [ 6EL7:9 P ¡ ; [ 7KL7 @ + 3GF= , ðq3 f _-oKtuqiÚrq_poEhwkq_kq]Ohi/ª1Ëîn_~K]]Okq_rqj<rq_prq_-rqjüi/]Oh8rqj?oNwKr/i*K3~ 7K6EL > y [ @3-¼J M [ 6 A3Ò DG³~³9 + a3~3GFW , /3º´ªoÆ«-hK]voN_g] /h¤óWrnm~oNtnk¸sƹË2Ë\Ù]v1nK3 ® [ b7K6 3g 7 × [ 6 3Ò XY> 98³5 + Ò 3Ö ,// 3´IÖ@ SE6 [ 5 + [ XGX SED [ @V>"@A 7 @ b&DG6 [ @ y±7 @ S >"XWA 7KL/6 >qA> SED [ @3<ıK]kïgÜ + //2 Ý / . 3Ò¤[ XxA y >"@ + a3 , ð , 3¼ S A [T[ 6 >"X L >"X y > 989 P X S 687:9 3´¬N3 4 ~~X D P1> SED [ @ 9 33r/!oNtØoKÀ1oErqtEhNªï£ + Ý , 3Ò¤[ @ L + BV30/2/2 . 3TI<J 7K6EL/5 >"@g>"X 59EDx9 [ M >Æ XG>"@Ag>" 7K6yzD XGXv3&în_g!oNtN_r/]Okq_r/jg¹Tkq&tNÀ_r/j´k¸s f _-oNtOuqiØon1oErqtEhNª±¢ + ð ,)Ý&, 3Ò¤[ @ L + BÑ3>"@Aí>"XGX + Ò 30/2/2/3ؼ@ 7 J 7K6EL/5 >"@A 9 9ES > D @g> ³ X 7 A 7Kb7 X [ y±7 @ S ¬8¬N3¬@A D P1> S [ 689 >"@A y±7KS [ A 9 3 f<¦ oNtu/iÀÄ_Rîn_g!oNtN_r/]Okq_rqj¹&kqTtN_rqj^ï + 0)ð Ý 0//3Ò¤[q 5 + BÑ3 //, 3 Q 6 X ¯ e @ 7K6EL/Dx7 SED X Dx9 > ³ X 7 3´¹&kqTtN_rqj?po¤óªi"n]OÛKo » +. 2 Ý&. 3Ò 6 > 7 A 7 X + ¥3>"@A 4 XGX 7 @ ³5 + U¤3GF?0/2/2/3&în_pqTNtN]rqj f h8kqjGk8uqi/3T0"@A 7 A@3 687 @ SED P 7 ¶>"XGX +I<@ L7 X [T[ A Z X D ù 9 3~ 7 × [ 6 3Ò 6 > 7 A 7 X + ¥3^>"@A 4 XGX 7 @ ³T5 + U3 ; 3GF¥ ,/,/. 3în_pqTNtN]r/j f h8k/jlk8u/iq3^ 687 @ SED P 7 ¶>"XGX + I<@ ¡L7 X [T[ A Z X D ù 9 3~ 7 a 7K68987K5 3Ò 6 > 9w9Ey >"@~@ + 3 ,/ H3¨I<@ L/D @ 7:7K6ED @ Lq¡vS 7K6Ey [ A 5 @g> yzD P 9 >"@A S 7K6Ey [ A 5 @g> yzD P 9 [ MX DlMO7 + S 7Æ7 J 7K6EL/5 3¿Ær/&tN©<]Yn:oN_~:hNª&r¸sK!oN_Üï + / .)Ý "H/3Ò 687:7 @~ [q 9w7 ;54 ® 6 [ L/6 > yzy±7 + ¬n3GF(0/2/2/23¨Î´oErpq]`_&uknm-]Okq_~sKk/t(ª~oRh8rnm^Tt8oÚk¸sÈ\Ã

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KH2 Þ\ß"àGßá:âãnäKå-æ/綤> + ag3 3¨>"@A UW> 9 D + U¤3 ; 3<0/2/2"H3ÖI<J&g>"@A D @ L7 J 7K6EL/5 >"@g>"X 5&9EDx9±S [ >qP:P [q @ SM [ 67 P [ 9E59ES87Ky 6 [ A P S89 >"@A 987K6EbTD P 7:9 3 f _)]`tEkq_oN_gvr/j«-hK]voN_hnozrq_p·º<oEhKª_kqjGk8uqi£ » + ðq )Ý ð/ð/ð&3¶ 7KDGy A>"X¶ 7 > SED @ L ÖXY>"@ S FÖ0/2/2/23¶ 7 > S<M6 [ y > 9ES87ØD @ 6 [ @A 7KDGy ¡M [ 6 > L [T[ A 7 @ ¡b&DG6 [ @ y±7 @ S c D @ [ 6 7KL/D >"@dN3 WW 3 S87Kb 3 @ [<; M µ 7K6 @ b > 6Ey±7N¡v³-7 A 687KyzD X D [ 3 ^A M cO>qP:P 7:98987 AaT>"@ > 6E5 0/2/2/dN3¶ 7 XGX 9ESE6 y + ® 3 ,/, ð&3 4 @ 7 J 7K6EL/5 >"@g>"X 9EDx9M [ 6 > > 9ES87 > S87K6(SE687 > SEy±7 @ S ~XY>"@ S¡>"@ 7:9ESEDGy > SED [ @ [ MÖS 7 P [ @ 9 y SED [ @ [ M ~ 5&9ED P1>"X 687:9 [q 6 P 7:9 3=Rr/!oNt f _)]`tEkq_oN_g|on:oEr/t¸hNª + H/H Ý&. /3¶ 7K6ES D Pw + I3 Ò 3 + 7 > 987 + 3 Q 3>"@A [ 9 ~XY>"@A + Z 3?3¤ ,/, ð&3\I b >"X > SED @ L S 77 @ bTDG6 [ @ y±7 @ S >"X DGy g>qP S [ M 6 [ A P S89 >"@A 6 [ A P SED [ @ 6 [ P 7:9w987:9 F>ÆP [ y g> 6EDx9 [ @ [ M98D J y±7KS [ A 9 3º´ªo¥«-hK]voN_hwokEsƪo(ºk/vrqj f _)]`tEkq_oN_gï + 1 Ý 0 , 3¶ D @ S87K6E³^7K6EL7K6 + ²3 + 6 >"@ 7 @A [ @ + Q 3 + 7 X M7 @ 9 + BÑ3>"@A Q P8 yzD A S¸¡ U\X 7:7 + ²3GFØ ,/, H3în_-hKtEo8r"n]_Tu>Æon:kq&t¸hwoó\tEk1pq~h:]`)]i·ªtEkq/u"ª f hwkqÀ¸oýþh:]OoN_«^oNtN1]hnonÀ1()mm~oKtNvrqjóØrnm~oNtn¿ÆkË<Ê?!3 ~ 7K6ES >"X?¬!@ 98SEDGS S87 3~ ~ 7K6ES >"Xv3¬@P 6 [ 7K6 > + ²\3^?3>"@A DGSES + ® 3-3 ® 3GF= ,//. 3ÌT_-prqoN_gvrqjü±k¸s¥ÏoEr/rq_péÚrqwºtErq_~s:oKtN3~a [ ~@ D X 7K5 4 Q [ @ 9 3 7 × [ 6 3¬ Q ¼ ¡ KH2"H2FÅ ,/, 3îw«´Ã ô¥tEr¸sK|în_g!oNtN_r/]Okq_rqj«vrq_prqt¸pVîw«´Ã ÊKÉ@KÉ@ f _1]t¸k/_ÀoN_vrqjéÚrq_r)uoNoN_g|ÀÎ] s:oÈ?i/h:jGo(Än:onnnoN_g|À|ó\tn]_hK]emjxonêrq_pÌ^tErqoN©¨kqt*3¬@ S87K6 @g> SED [ @g>"X<¼ 6EL >"@ DG½ > SED [ @ [ M¨QTS >"@A> 6 A DG½ > SED [ @Cc¬ Q ¼¥dN3 Ò 7 @ 7Kb > + Q DGSE½17K6 XY>"@A3¬ Q ¼ ¡ KH2"H/F\ ,/, ð&3Tîw«´ÃVôÆt¸rEsNîn_g!oNtN_r/]Okq_rqj«-vrq_prqtEp¤îw«´Ã ÊKÉ@:ÉÊ f _1]t¸kq_g±oK_Àvr/jérq_r1uoK±oK_gØÀzÙØk1rqj¨r/_p(«-hwknm~oôo./Ö_]]kq_Crq_pîn_"oN_gvk/tniÄ_r/jüi"n]`N3^¬@ S87K6¸¡@g> SED [ @g>"X¼ 6EL >"@ DG½ > SED [ @ [ M¨QTS >"@A> 6 A DG½ > SED [ @Cc¬ Q ¼¥dN3 Ò 7 @ 7Kb > + Q DGSE½17K6 XY>"@A3a [ g>"@~@ 7:98987 @ + I3>"@A \µ 7 X 9ESE6 + Q 30/2/2"H3/B D @ DGy y 7 @ SE6 [ 5 6 [ A P SED [ @ D @z~X Lû [ 687 >qP S [ 689 F 4 @ [ SEDGy >"XÖP [ @ SE6 [ X? 6 [ ³ X 7Ky 9 [ X b7 A M [ 6¥Q ¼

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a [ g>"@~@ 7:98987 @ + IØ3´>"@A \µ 7 X 9ESE6 + Q 3´0/2/2 . 3 y±7K6ED P1>"X 7Kb&D A 7 @P 7zM [ 6 >A! DGL > 5D @ 9ES > S879 g>qP 79BØM [ 6687 >qP S [ 689 DGS yzD @ DGy y 7 @ SE6 [ 5 6 [ A P SED [ @3ÖȪoN]hwrqj f _Àu/]`_-owoNtn]_Tu«-hK]voN_hno + KH , Ý KH ,/. 3a [ g>"@~@ 7:98987 @ + I3 + yzy±7 A>"X + 3>"@A \µ 7 X 9ESE6 + Q 3´0/2/2/03B D @ DGyzDx9ED @ LRS 7z7 @ ¡SE6 [ 5 6 [ A P SED [ @ D @Ñ 7 > Sz7 J~P8g>"@ L7 3¨în_g!oKtn_r]`_r/j\¹&kqTtN_rqjWk¸s±Ï|oErÆrq_pÚéÚrqwºtErq_~`s1oNt + 0/"H ,)Ý 0/ . H3

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Þ\ß"àGßá:âãnäKå-æ/ç KHa [ 6EL7 @ 9w7 @ + Q 3IØ3GF¥ ,/, ð&3în_g!oOuqtEr/]Okq_k¸so8h8k"ni"K!oN ªoEkqtN]von:Ä mr/O!oKtn_g3 X 7K64 P1>qA 7KyzD PÆ ³ X Dx9 7K689 3gU [ 9ES [ @ + B 4 3 >" [T[ 6 + 4 3>"@AÚ×>"@ L +; 3? ,//, 3 D @ 7KSED P 9w7 g> 6 > SED [ @ [ My±7KS g>"@ 7N¡ P1> 6E³ [ @ÑA D [ J ¡D A 7=yzD J S 687³T5 >qA 9 [ 6 SED [ @ [ @ y [ X 7 P XY> 6Æ9EDx7Kb7 P1> 6E³ [ @3WȪoN]hwrqj f _Tuq]_-o8oNtN]_Tu«-h:]OoN_-hwoØ + )ðq0/ Ý )ðq/3 > 6 X 989 [ @ + BÑ3>"@A Q [ D @ D @ 7 @ + BV3GFW ,/ 03~ 7¤D @û 7 @P 7 [ MS 7 5&L/6 [ 9 P [ D P¤ 6 [ ¡7K6ESEDx7:9 [ M g>" 7K6 [ @ S 7\SE6 >"@ 9EDx7 @ S ~ 7 @ [ y±7 @g>¤A 6ED @ L P [ @ S >qP S A 6E5&D @ L [ MgS 7 g>" 7K6 7K³9 3¨]_êag3 49 [ 6ES c 7 A3ed + º´ª]tEp(în_!oNtn_-r/]k/_rqj?ôÆtniq]_Tu«giqmk"n]&3 Ô [ Xv3¨/3 [ X b7K6 g> y S [ @ + ë 3~3H , H Ý&. 2/3 7KDx987K6 > 9 + U3 3GFÑ ,/, /3Î] s:oNÀ¸hKihKjxoÇô|r/vrs:kqt¿Æk/tn©oOu/]rq_Ã]jrq_p ÙØr"N3¨>" DG6 3 6 [ @A 7KDGy + [ 6 > 5 3 7 @~@ 7K5 + è3²3GFØ ,/ H3 f _-oNtOuqiÇh8kq_qoNtwN]k/_Õ]`_ªoWmtEk1hwonn]_pqTNtN]OonK3 4 P1>qA 7KyzD P 687:9w9 3~ 7 × [ 6 3\µ 7 X 9ESE6 + Q 3T>"@A±U 7 A 7 > J + ® 3GF?0/2/2/3 f jGoNoN_k¸s\întNtEoK"oNtnn]vNjGoº´ªoNtNzk)pqiq_rqÀ]OhNs:kqt f _Tuq]_-o8oKtwK3*¬@ S87K6 @g> SED [ @g>"X Z 7 @ SE687 [ Mg4 ~~X Dx7 A 7K6Ey [ A 5 @g> yzD P 9 + ¬ 98S >"@ ³ Xv3¬ Q U , ð . ¡ , ð . ¡ ¡ /3\µ 7 X 9ESE6 + Q 3>"@A¬ 9 XY>"@A + ¥3 Ô 3´ ,/,/, 3 7 A 6EDGb&D @ L±M [ 6 P 7 A Dx9ESE6EDG³ SED [ @ M [ 6yzD @ ¡DGy y X [ 9ES [ 6 D @Ñ>ÇP8 7KyzD P1>"X 687 >qP S [ 6 PKX [ 9w7zS [ >"@A M > 6¤M6 [ y÷7:¾ D X DG³~6ED y 3?¬8¬N3¼J D A> SED [ @ [ MQ ¼

23&în_-pqKtn]Orqj f _Tuq]_-o8oNtN]`_&uRȪoN]`NtNiCØon1oErqtEhNª|£ » + /2 . Ý /2 ./. 3

\µ 7 X 9ESE6 + Q 3>"@AB ì XGX 7K6¸¡ ¶ [ X 9ES + Q 3^ ,/, 3&I<J 7K6EL/57 ÓP Dx7 @P 5 >"@AX [ P1>"X 7 > S 6 [ ¡A P SED [ @ D @ 9 [ X D A [ J D A 7¤M 7 X´P 7 XGX 9 3 f jxoEh:tEk1hNªoK=]Oh8rqjÄ|h:vrÆ£ » + H/HTð Ý H . 3\µ 7 X 9ESE6 + Q 3 + U 7 A 7 > J + ® 3>"@A Q > > 6 + IØ30/2/2/23TB D @ DGy y 7 @ SE6 [ 5 6 [ A P SED [ @³T5þ7:¾ D g> 6ESEDGSED [ @ [ MÆM [ 6 P 7:9D @ DG6E687Kb7K6898DG³ X 7êS 7K6Ey [ A 5 @g> yzD P 9 3Øîn_pqTNtN]rqj f _Tuq]À_-owoNtn]_TuȪoN]`NtNiØon1oErqtEhNª±£ + H/H"H Ý H/H/3\µ 7 X 9ESE6 + Q 3 + Q > > 6 + IØ3 + U 7 A 7 > J + ® 3T>"@A b >"@A 7K6 [&[ D + ¶=3g ,/,/, 3& 7 A 6EDGbTD @ LM [ 6 P 7 A Dx9ESE6EDG³ SED [ @ M [ 6¤yzD @ DGy y X [ 9ES [ 6 D @>Pw 7KyzD P1>"X 687 >qP S [ 6 PKX [ 987S [ >"@AM > 6ÆM6 [ y÷7:¾ D X DG³~6ED y 3¬n3 7 [ 6E5 3Öîn_p/Ktn]Orqj f _&uq]`_^o8oNtN]`_TuþȪoN]YKtniDÆon:o8rqt¸hKª£ » + /2"H Ý /2 . 23 Xqù 7K6 + 3~ ,/, ð&3¬@±A 7NM7 @ 987 [ M-S 7 P y XY> SEDGb77 @ 7K6EL/5 A 7Ky >"@A3&în_g!oKtn_r]kq_-rqj¹&kqTtN_rqj?k¸sÎØÈÄ ¢ + /3 XGú~~ 7 X + ¶=3 +< 6 ú L7K6 + a3 + B> P8 + è3 +<; 7KD @~g> 6 A S + Ò 3 + Q > 5 [ 9 D + ²\3 + Q P8g> 7N¡MO7K6 + ¶3 + Q P8 X ½17 + ¥3>"@A·> L @ 7K6 + ¶=3GF( ,/, ð&3E-|&=&jGr/]OoKtN!oNt f _-oKtuq]voErq&©¨rq_p·À*oOuqtN] (oN§<ô=oF/Ö_]]k/_-oN_~§G*oNt8oEhNª_&_Tu"NoKª&k1po:3 Ô ® ¬ Ô 7K6 XY> L Ò y|³ ¶=3 ® ú 98987 XxA [ 6¸M 3

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KH0 Þ\ß"àGßá:âãnäKå-æ/ç

[ 7KD µ 7K6 + Ò 3 ® 3 + a [ g>"@~@ 7:98987 @ + IØ3>"@A \µ 7 X 98SE6 + Q 3^0/2/2"H3^ 7987 P [ @AÚXY> [ ¡SEDGy >"Xg> S [ M > M [q 6¸¡v³^7 A Q ¼

2P [ @ b7K6ES87K6 DGS H b7 7 > S7 J~P8g>"@ L7K689 3 f _-oKtuqi¢ +. 0 .)Ý&. H3

[ S > 9 + ¥3a3^ ,/ 23~IJ 7K6EL/5 P 6EDGS87K6ED > [ M 7K6¸M [ 6Ey >"@P 7M [ 6S 7K6Ey >"X~XY>"@ S 3-în_g!oNtN_rqÀ]Okq_r/j^¹&kq&tn_r/jk¸sÏ|o8r/Wrq_pÌÖj&]p̨jlkq©Ñ¢ + KHTð Ý 1/3 [ S > 9 + ¥3a3GFí ,//. 3±º´ªo·o ¦ oKtuqiþ±o:ª&k1pòk¸sÚªoNtN±rqjÖm-jlrq_r/_rqji*N]YK3U SES87K6¸¡ [ 6ES 9 3 [ @A [ @3 7Kyzy±7 X + U¤3 + Dx7 X 9w7 @ + Q 3 3>"@A QT687 @ 987 @ + U3GFÚ ,/, ð&3ÖÎ] s:oKÀ­hKihKjxoÄ¥_rqji*N]Y(k¸sf _-oNtOuqi±«gi"K!oN=N3 ; [ 9 D XxA 7 ë@ DGb7K689EDGS!5 687:989 3 ; [ 9 D XxA 7 + ®¤7 @ y > 6 3 7Kyzy±7 X +"; 3/ ,//, 3)I<@ 7K6EL/5 > 9 > M >qP S [ 6 [ M 6 [ A P SED [ @>"@A 7 @ SE6 [ 5 > 9 >W [ XGX SED [ @D @A D P1> S [ 6D @ y >qP 6 [ ¡!7 P [ @ [ yzD P y [ A 7 XGX D @ L 3 f hwkqjlkwuq]hwrqj f h8kq_kq]OhN¢ + 1/0 Ý 23 7KL/6 >"@A +; 3Ö ,/, 3B 7KS g>"@ 7zM6 [ y ³~D [ y > 989|985&9ES87Ky±9 >"@g>"X 5&9EDx9 >"@A Z ¼

2> ³ > S87N¡

y±7 @ S [ S87 @ SED >"Xv3*Ø]Okq±r"w|rq_p*Ø]k)oK_-oNtOuqi + /2 Ý 13 D @A M [ 689 + 3 Ò 3GF± ,/,/. 3?¿|kqt¸p/]hÚÙ&]poKjü]_-onkq_·Î] s:oêÈ?ihKjxo=Ĥw1onwN±oK_g§¿Æk/t¸pq]Oh|o!mkqtKO3 [ 6 A D P Z\[q @P D X [ M B D @ Dx9ES87K689 3 Z\[ 7 @~g> L7 @ + ®7 @ y > 6 3 D @~@~ [ ù + U¤3*>"@A QTyzDGS +/; 3T , ð , 3* 7S 7K6Ey [ A 5 @g> yzD P 7 ÓP Dx7 @P 5 [ M A Dx9ESED XGXY> SED [ @3în_N]&]Okq_ÚkEsȪoN]hwrqj f _Tuq]_-o8oKtwÆ«i"mkqn]T «oNtn]von + HTð Ý ðq3 [ y|³ > 6 A D +¨ 30/2/2/3 DlMO7 P 5 PKX 7 > 989w7:989Ey±7 @ S P [ y g> 6EDx9 [ @ [ MS87 Pw~@ D P1>"X 9 [ X SED [ @ 9M [ 6 Z ¼

27KyzDx989ED [ @ 9(687 A P SED [ @ D @ [ 7K6ÇL7 @ 7K6 > SED [ @3 f _-oNtOuqi È<kq_qoNtwN]k/_ rq_p

érq_r1uoK±oK_gÂg +, Ý 12 3 [ 7 @ S g>"X + BÑ3 ® 3T>"@A > 9ES87 @ ³^7K6EL + è3I3g ,/,/ 3¬@A 9ESE6ED >"X 7 P [ X [ L/5 >"@A 7 @ 7K6EL/5985&9ES87Ky±9 F> 6898S9ES87 3Øon:kq&t¸hwoNw§ÆÈ<kq_~:oKtn*r]kq_Õrq_pÆoEh:i/h:jü]_Tu¢~ +. Ý /3B>"@~@ D @ 7 @ + a3 + ~ y >"XY> D @ 7 @ + ¥3 + >"X µ > +/; 3q>"@A 7KSES87K68989 [ @ + ¶3q0/2/2/03qI<@ 7K6EL/5 > 9¸¡ 7 P S89ÖD @g>" 7K6yzD XGX 9 SED X DG½:D @ LM S 687S87 P8~@ [ X [ L/5 3Ämmjü]voEpº´ª~oNtn±rqj f _Tuq]_-o8oKtn]_Tu¢¢ +, 0 ,)Ý&, ð&3B> 6 P8g>"X +q; 3GFÖ ,/. 3"δr±º´ªoNtNzk)pqiq_rq]Û:~oØo:^jGo\ª e kqt e oWpo\j2I e _-oNtOuq]Oo&]jü]`KrTNjGo:3® @ [ A3~?> 6EDx9 3B> SES 7 9 + IØ3 + 4y >"@~@ + Z 3 + U 6ED @ L7K½ + Q 3 + ² Dx9 7K6¸¡ [ >"X 9 D + BV3 + ¶ SES X 7K6 + BÑ3 + X 7KD µ @ +¨; 3 + B [ 6EDGL P8 D + ×z3 + ¼ SES 7 + Z 3 +; [ A 7 @ ³ 6EL + IØ3 +\; [ L/D Pw + ® 3 + Q P8g>"@AX +¶=3 + Q P8 SE½ + ¶=3 + b >"@RA 7K6 Ô [ 7KS + IØ3g>"@A( 7KDx98½ + ¶3GFÖ0/2/2/23\º´ªo¥©oK]lu"ª&k¸s¥_r]kq_:ér/!oNtN]rqj~kq Jk/©sNt¸kq]_pqTNtN]r/j~oEhwkq_kq]vonN3" [ 6 XxA ; 7:9 [q 6 P 7 ¬!@ 98SEDGS S87 31> 9 ¡D @ L/S [ @ ® Z 3

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Þ\ß"àGßá:âãnäKå-æ/ç KHB> 57K6 + 4 3 3 + 689ES [ @ + ¶=33?>"@AV [ X [ 9 D + Z 33?0/2/2"H3? 7y X SED A Dx9¸¡P D X D @g> 6E5íD @û 7 @P 7 [ M P [ yzy [ @ 9 9ES > D @g> ³~D X DGS!5íD @A D P 7:9 3ØÌ^tEkq_g]voNtnk¸s f h8kqjGk8uq]Oh8rqjf _g1]`tEkq_oN_´¢ + H ,)Ý 0/3BÚP ® > L >"XGX + ²\3 ; 3 + DGS87 + ?3 + ² 6 >"@ 7 + BV3">"@A¶ D @AX 7 + ?3GF0/2/2/3/în_g!oOu/t¸r/!o8pÆ:kqj]p©¨r"K!o|zr/_r1uoNoN_!\Ä j] s:ohKihKjxoÆ]_"oK_gvkqtNiq3gUXY>qP 7:7 X Q P Dx7 @P 7 cO0"@A 7 A DGSED [ @dN3B 7KS89 [ Z\[ 6 [ 6 > SED [ @F 0/2/2/23 B 7KS89 [ P [ 6 [ 6 > SED [ @3 7K³9EDGS87 F SES F ;?; WW 3 y±7KS89 [ 3°P [ y ; cO>qP:P 7:98987 A D @B> 6 P8Ú0/2/2/dN3B D @ Dx9ESE6E5 [ M±S 7 I<@ bTDG6 [ @ y±7 @ S F ,/,/ 3¿|kqtN©oOuq]Orq_ È?jü]±r/!oþȪrq_TuoóWkqj]OhKiLKÃ"oNtN1]voN©Ö3´B D @ Dx9ESE6E5 [ M\S 7 I<@ bTDG6 [ @ y±7 @ S +; 7 [ 6ES¥S [ S 7QTS [ 6ESED @ L c [ 6 7KL/D >"@> 6 X D > y±7 @ S d +^; 7 [ 6ES [ 30 , 3B [ 6 >"@ + BV3a3GF ,/ 03-Ä*r/]`jGrN]jü]iÄ¥_rqji"n]`:WÄÙ&]povk f ýþh:]OoN_ f _^oNtu/iM´:oK3 687 @ SED P 7N¡ ¶>"XGX + I<@ L X 7 [T[ A Z X D ù 9 3~ 7 a 7K68987K5 + ë Q&4 3 7:7 X Dx9 + BÑ3 + b >"@A 7K6 [T[ D + ¶=3a3>"@A Ò 7:7K6 X D @ L9 + a3a3 Z 30/2/2/23TIJ 7K6EL7KSED PX DlM7 P 5¡PKX 7 >"@g>"X 59EDx9 [ M 5 A 6 [ L7 @Õ 6 [ A P SED [ @>"@A 9ES [ 6 > L79E59ES87Ky±9M [ 6 > S [ y [ SEDGb7 >" ¡~X D P1> SED [ @ 9 3-în_g!oNtN_r/]Okq_rqj¹&kqTtN_rqj?k¸sϤipqtEk8uoN_ f _-oNtOuqi¢ +. ð Ý&. H . 3 D X 989 [ @ +~ 30/2/2"H3¶ 7 > S >"@A y > 989WSE6 >"@ 9¸MO7K6WD @ y X SED P 5 X D @A 7K6 A 6E5&D @ L 3¬N3 4 @g>"X 59EDx9[ My >qP8 D @ 7 A> S >3¨ÈªoN]Oh8rqj f _&uq]`_^o8oNtN]`_Tu(rq_-p=ó\tEk1hwoNwn]_Tu=£ + . HTð Ý ./. 3 Dx989 >"@ + 4 3 ,/. 3 4 S 7 [ 6E5 [ M A 6E5TD @ L 9ED @ LÕ9ES87 > y 7 > S87 ACA 6 y±9 3¥ÈªoN]`NtNirq_-p=în_p/Ktni|¢ + ,/)Ý 0//3 [ 689 7Q [ LÇ¡ ¬@ S87K6 @g>"X ; 7 [ 6ES F|0/2/2/23 f _)]`tEkq_oN_gvr/jNÆo!mkqtKÀÍ@O@O@q3 [ 689 7Q [ L4¥Q&4 + Q [ L @ + [ 6 > 5 3 [ 689 7Q [ LÇ¡ ¬@ S87K6 @g>"X ; 7 [ 6ES F|0/2/2/3 f _)]`tEkq_oN_gvr/jNÆo!mkqtKÀÍ@O@"!3 [ 689 7Q [ L4¥Q&4 + Q [ L @ + [ 6 > 5 3 [ 689 7Q [ L¯°9\yzD XGXvF<0/2/2/3~în_g!oNtN_rqjo!mkqtKO3T [ 689 7¤Q [ L=4¥Q&4 + Q [ L @ + [ 6 > 5 3 XGX + ¶3 , ðq3´¶ 7 > S y 9 >"@AA Dx9ESED XGXY> SED [ @3¥ÈªoK=]Oh8rqj f _Tuq]_-o8oKtn]_TuRó\tEk8uqt8onwÜ » +./)Ý "H3 yzy±7 A>"X +/ 3)>"@A \µ 7 X 9ESE6 + Q 3"0/2/2/3)I ¾ D g> 6ESEDGSED [ @ [ M~M [ 6 P 7:9 > 9 >WX [ 7K6?³ [q @A[ @ S 77 @ SE6 [ 5 6 [ A P SED [ @ D @V 7 > S=7 J~P8g>"@ L7 3Öîn_g!oNtN_r/]Okq_r/j¹Tk/TtN_rqjWk¸s=ÏoEr/rq_-pzéÚrqwºt¸r/_~`s1oNtÂg + 0 0ð Ý 0 /3 yzy±7 A>"X + 3 +g\µ 7 X 9ESE6 Ú>"@A Z\[ 9ES87 > + BV3g0/2/2/3B D @ DGyzDG½:D @ LS 7|7 @ SE6 [ 5 6 [ ¡A P SED [ @ 6 > S87 [ M >"@ 7 J [ S 7K6EyzD P 687 >qP S [ 6 DGS z>WP [ @ 9ES >"@ S 7 > S¸¡vSE6 >"@ 9¸M7K6 P [ 7 ÓP Dx7 @ S F

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KH/H Þ\ß"àGßá:âãnäKå-æ/ç 7 > yzy [ @ D > 687 >qP SED [ @3~în_pqTNtN]r/j f _Tuq]_-o8oKtn]_TuÇȪoN]`NtNiCØoN:oErqtEhNª|Â^¢ + 12"H/H Ý12 . 3 yzy±7 A>"X +Ö 3 +¨; ì/9 µ [ 6 A 7 + 4 3 + a [ g>"@~@ 7:9w987 @ + IØ3<>"@A \µ 7 X 98SE6 + Q 3?0/2/2 . 3 Q&7 P ¡[ @AXY> [ SEDGyzDG½ > SED [ @ [ M > S ³ XY> 6\9ES87 > y 687NM [ 6Ey±7K6 3Ȫ~oN]h8r/j f _&uq]`_^o8oNtN]`_Turq_pót¸k1hnonwN]`_TuÂg + H0 ,)Ý H/H23¼I Z ® FW ,/, 3\óWkqjjü]k/_Õmt8oN"oN_]kq_ rq_pÑh8kq_gtEkqjx f _g1]`tEkq_oN_vrqjhKtN]!oNtN]Orzs:kqtNKvrq]_rNjxoêt¸rq_vmkqtK!ËØomkqtK! à f ÈôP8Ù¨ô öQ&RnøVÊ?!&Rq3\¼ 6EL >"@ DG½ > SED [ @ M [ 6 IÖP [ ¡@ [ yzD P Z\[ ¡ [ 7K6 > SED [ @>"@A ®7Kb7 X [ y±7 @ S cv¼I Z ® dN3?> 6EDx9 3¼@ 9 > L7K6 +/ 3 , 1>3 ; 7 P D 6 [ P1>"X 687 XY> SED [ @ 9D @ DG6E687Kb7K689EDG³ X 7S 7K6Ey [ A 5 @g> yzD P 9 3ó\ªi"nÀ]Oh8rqjSØoN1]voN©Ñ£Ü + H2 .)Ý H0/3¼@ 9 > L7K6 +/ 3T , ³ 3 ; 7 P D 6 [ P1>"X 687 XY> SED [ @ 9D @ DG6E687Kb7K689EDG³ X 7\S 7K6Ey [ A 5 @g> yzD P 9 3/ó\ªi"nÀ]Oh8rqjSØoN1]voN©Ñ£ » + 0/0/ .)Ý 0/0ð , 3> [ 9 D +T$ 3 + UW> 6ES P ½ > +P$ 3 + QTSE6 yzD XGX [ + Z 3Ö>"@A QTS87 @ 98SE6 y + Q 3 ,/, /3ÖI b >"X > ¡SED [ @ [ MÖ7:¾ > SED [ @ 9 >"~ 6 [ J DGy > SED @ LS 7K6Ey [ A 5 @g> yzD P=>"@A SE6 >"@ 9 [ 6ES¸¡ 6 [ 7K6ESEDx7:9 [ M > S87K6 + 98S87 > y >"@Aê> DG6M [ 6 9w7¥D @ Z 4® [ M A 6E5TD @ L 6 [ P 7:989w7:9 3ôÆtniq]_TuÕºoEhKª_kqjGk8uqi + ð . Ý ð/ðq3 7KS87 XY> +; 3 , "H3~IJ 7K6EL/5 [ M 7 > S6 >qA D > SED [ @3¹Tkq&tN_rqj´k¸sÏ|o8r/ºtErq_~s:oNt » + ð Ý , 03 6 >"~X + a3GFò , 3±º´ªoKtn±k1pqiq_r/=]OhNÚkEszmrnmoNt/8oNt·rq_pV©¨r/!oKt] ¦ Tt8onN3< ®S 7:98Dx9 3~¶> 6Eb > 6 AÇë@ DGb7K689EDGS!5 3 6EDGL [ L/D @ 7 + ¬N3GFò ,/./. 3±º´ªoNtN±k1pqiq_rq]OhNÚk¸sÇîntnt8oN"oNtnn]vNjxoêót¸k1hnonw1onN3 Z g> 6 X 7:9 Z 3 [ y > 9 3 Q 6ED @ L 7 XxA3; >"@ S +U$ 3 ,/. 3-IJ 7K6EL/Dx7 + 7KD @@ 7 7:9 [ 6ESM ú 6 A S87 P8~@ Dx9 P8 7 > 6E³-7KDGS89EMWV DGL 7KDGS+B cI<J ¡7K6EL/5 + >@ 7 [ 6 A M [ 6S87 P8~@ D P1>"X> b > D XY> ³ X 7 [ 6 dN3gÌ´kqtnKhNª&_TuoK_ê] în_TuoN_]voN&tn©oKÀ1oN_¢¢ + / Ý ð&3; 7KL 7K6 > + ® 3>"@A ; ³~D + a30/2/2/3 D @ 7KSED P 7:¾ > SED [ @ 9<M [ 6 A D ù 9ED [ @ D @ S 7 687:987 @P 7[ M7 @ SE6 [ D P ³ > 6E6EDx7K689 3óªTi*N]hwrqjÆoN)]OoN© f  + Ý 12/3; [ A D 9 + ® 3>"@A Ò¤[ SES89 Pw D @ L +T 3g , ð , 3?>" 7K6 >"@A ³ [ > 6 A±A 6E5&D @ L 6 [ P 7:989 >"@A DGS89D @A 7 7 @A 7 @P 7 [ @A 6E5&D @ L >"@Azg>" 7K6ÖS87 P8~@ [ X [ L/D P1>"X-g> 6 > y±7KS87K689 3T¬ Ô 3 ®6E5TD @ LÆD @S 7¤y X SEDl¡ P 5 X D @A 7K6 A 6E57K6987 P SED [ @3-óWrnm]voNtØ£g£ + Ý&, 3; [ 987 @ + BV3 4 3>"@A ®D @P 7K6 + ¬n3´ ,/,/, 3IJ 7K6EL/5 >"@g>"X 59EDx9 [ M > 9ES87|7KyzDx9898D [ @ 9 3în_g!oNtNÀ_-r/]k/_rqj¹Tkq&tN_rqjk¸s f _-oNtOuqi%on:oEr/t¸hNª¢£ + / . Ý /1/3

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Þ\ß"àGßá:âãnäKå-æ/ç KH .; ì/9 µ [ 6 A 7 + 4 3 + ² [ 989 [ y [ + ® 33 +-\µ 7 X 9ESE6 + Q 3 + U 7 A 7 > J + ® 3>"@AÚ¶> MO9 µ [ XxA + U¤30/2/2/23 [ @ 7:¾ D X DG³~6ED y y [ X 7 P XY> 6 A 5 @g> yzD P 998DGy XY> SED [ @ 9 [ MÆ9ES87 >qA 5¡!98S > S87 7 > S>"@A y > 9w9SE6 >"@ 9 [ 6ESD @RP [ @A 7 @ 9 > SED [ @3g¬N3 [ P1>"X 7:¾ D X DG³~6ED y 3¹Tkq&tn_-rqj´k¸sÈ<kqjjlk/]prq_-p=în_g!oKt`s:rhwo|«-h:]OoN_-hwo¢g£¢ + )ð )Ý /. 3

; ì/9 µ [ 6 A 7 + 4 3 +\µ 7 X 9ESE6 + Q 3 + U 7 A 7 > J + ® 3~>"@AǶ¤> M9 µ [ XxA + U¤3~0/2/2/3 [ @ 7:¾ D X DG³¡6ED y y [ X 7 P XY> 6 A 5 @g> yzD P 9<9EDGy XY> SED [ @ 9 [ M-98S87 >qA 5¡!9ES > S87 7 > S >"@A y > 989SE6 >"@ 9 [ 6ESD @P [ @A 7 @ 9 > SED [ @3/¬8¬N3) 6 >"@ 9¸M7K6 P [ 7 ÓP Dx7 @ S89 3¹&kqTtN_rqjgkEs¤È<kqjjGkq]p|rq_pîn_!oNt`s:rhwo«-hK]ÀoN_-hwo¢Â + ./.)Ý /"H3

; ì/9 µ [ 6 A 7 + 4 3 +\µ 7 X 9ESE6 + Q 3 + a [ g>"@~@ 7:9w987 @ + I3>"@A ¶¤>"@ 987 @ +; 3GF(0/2/2 . >3<B D @ ¡DGyzDG½:D @ LCS 77 @ SE6 [ 5 6 [ A P SED [ @ D @ >·P8 7KyzD P1>"X¤ 6 [ P 7:989M [ 6 A 7 5 A 6 [ L7 @g> SED [ @[ M 6 [ g>"@ 7 3]`_ Q 3 \µ 7 X 98SE6 + a3IØ3<¶ 9ES >qA + ¥3 Ò @A 7K68987 @ + 4 3 ; ì/9 µ [ 6 A 7 >"@AÒ 3 9 > S89 > 6 [ @ Dx9 c 7 A 9 d + ó\tEk1hwowoEpq]_Tu"Vk¸sòº´ªoÑÊ"X th f È\Ã\« È<k/_1s:oKtEoN_-hwon§òдkqjxËîEîN3?>" DG64 P1>qA 7KyzD PÆ 687:9w9 FÖ 6 [ @A 7KDGy + [ 6 > 5 3g~3 ./, Ý /2/23

; ì/9 µ [ 6 A 7 + 4 3 + > > D > + BÑ3 + ¶ >"@ L + 3 + ¬ > > ³^7 + 3>"@A \µ 7 X 98SE6 + Q 3GF0/2/2"H3 Q&7 P [ @A XY> >"@g>"X 59EDx9 [ M >"@ D @ S87K6 @g>"X( 7 > S¸¡vD @ S87KL/6 > S87 A A Dx98SED XGXY> SED [ @ P [ X ¡ y @3]`_ ; 3 ; DGb7K6 [ +- 3B [ @ 6 > 5 +-; 3 X D A [ >"@A Ò 3 9 > S89 > 6 [ @ Dx9 c 7 A 9 d + ó\tEk1hwowoEpqÀ]_Tu"Æk¸s f È\Ã\«CÈ<kq_)s:oNt8oN_hnon§¨ÍY@O@:ɧîw«*¿ZQ&R?X/À`ÉX<Q/À+@"Í#:À[!TËY3 Ò >"@g> µ > S [ + B 7 J D P [ 3~312ð Ý / . 3

; ì/9 µ [ 6 A 7 + 4 3 + > > D > + BÑ3 + ¶ >"@ L +~ 3 + ¬ > > ³^7 + 3>"@A \µ 7 X 9ESE6 + Q 30/2/2 . ³ 3Q&7 P [ @AXY> >"@g>"X 5&98Dx9 [ M >"@ D @ S87K6 @g>"X^ 7 > S¸¡vD @ S87KL/6 > S87 AÇA Dx9ESED XGXY> SED [ @(P [ X y @3ȪoNÀ]Oh8rqj f _Tuq]_-o8oNtN]`_&u±«^hK]OoK_hwo + / ,/,)Ý 10123Q >"@A 7K6 + BÑ3¥3GF\ ,/, /3 f hwk1rq]`_^oWÌWÙRs1oEr"N]OK]`j]i|N~pqiËÈ<kq_gtErh:¿Æk˨ºÀ¸Ê"ÍÍË)@Ê?!TËó\t8o!mr/tEoEp¥sKkqt¤«-vr/vkq]jNįjkqt¤ô|rq_g]OoNjl3~²?X [q 6® >"@ Dx7 Xv3Q > > 6 + IØ3 +\µ 7 X 9ESE6 + Q 3&>"@A Dx7 @ +~ 3&BÑ3- ,/, 3&I ¾ D g> 6ESEDGSED [ @ [ M´M [ 6 P 7:9 3 4 @ 7 6ED @P D ~X 7ÆM [ 6 6 [ P 7:989 A 7:98DGL @ê>"@A [ 7K6 > SED [ @3în_pqTNtN]r/j f _Tuq]_-o8oKtn]_TuȪoN]`NtNiÆoN:oErqtEhNª±£ + HKHTð Ý H . 3Q > > 6 + I3 + yzy±7 A>"X +T 3/>"@A \µ 7 X 98SE6 + Q 3 ,/, ð&3/I ¾ D g> 6ESEDGSED [ @ [ MgM [ 6 P 7:9 Ý I<J ¡S87 @ SED [ @ S [ Pw 7KyzD P1>"X 687 >qP S [ 689 3\È<kqm&!oKtw|rq_pȪoK=]Oh8rqj f _Tuq]_-o8oNtN]_Tu¢ï + Q 0 ,)ÝQ "H3Q > > 6 + I3 + QTDG6 > L 9 > + Ò 3>"@A 4 @A 687:987 @ + U¤30/2/2/3I ¾ >"X S 7K6Ey [ A 5 @g> yzD P(A Dx9¸¡S >"@P 7 >"@A 7:¾ D g> 6ESEDGSED [ @ [ MzM [ 6 P 7:9 6ED @P D ~X 7:9 >"~~X Dx7 A S [ ³~D @g> 6E5 A Dx9ESED XGXY> SED [ @3¹&kqTtN_rqj?k¸sóªi"n]Oh8rqj\ȪoN]YKtniÄ ïY + 0/10 Ý 0//0/23Q Pw DGy A S + IØ3GFØ ,/. 3\º´ªoNtNzk)pqiq_rq]'"3 Q 6ED @ L7K6¸¡ Ô 7K6 XY> L 3-U 7K6 X D @3

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KH Þ\ß"àGßá:âãnäKå-æ/çQ Pw yzD A S¸¡ U\X 7:7 + ²3GF± ,/, H3\(]voN1]voNj\=©oKj¤Nt¸r/hNª&¤pToNtzéoN_KhNª^] ] m=Àôr"ér`_(sa&tb:qkqjlkwuq]Y:hNªonc(]`tKKhNªr¸sN!oK_g3~U DG6 V 987K6 Ô 7K6 XY> L Ò y|³ ¶=3U 7K6 X D @3Q P D ³~³ > + I3"0/2/2"H3q² 6 [ y 7 @ L/D @ 7:7K6ED @ L¥7 P [ @ [ yzD P 9S [ 7 J S87 @A 7 A 7 J 7K6EL/5 >qP:P [q @ SED @ L F4 [ 989EDG³ X 7 g> S M6 [ y y [ @ 7KS > 6E5¥S [ 687:9 [q 6 P 7<³ > 987 A|P [ 9ESED @ L 3¹Tk/TtN_rqjk¸s?în_pqTNtN]Orqjf h8kqjGk8uqi » + ,)Ý H23Q&7 > L7K6 + ¥3?3>"@A 7KDx9 + ¥3 30/2/2/0/>3&I<J 7K6EL7KSED P¤ [ XGX SED [ @( [ S87 @ SED >"XvFÖI 9ESEDGy > S¸¡D @ LS 7Æ687Kb [ P1> ³~D X DGS!5 [ M P8 7KyzD P1>"X? [ XGX SED [ @3 f<¦ oKtuqidK*Ä¥_êîn_g!oNtN_r/]Okq_rqj¹&kq&tn_r/j¢ + 0ðq Ý 0 03Q&7 > L7K6 + ¥33>"@AÚ 7KDx9 + ¥3 3-0/2/2/0 ³ 3 4 @ DlM [ 6Ey A 7 @ DGSED [ @Õ>"@A ¾ >"@ SEDGS > SEDGb7³ > 98Dx9M [ 6WD @A 98SE6ED >"X 7 P [ X [ L/5 3¹Tk/TtN_rqjk¸sÈ?jGo8rq_-oNtót¸k1p/h:]Okq_êïY + 0/0 .)Ý 0/ . 3Q I¨ 4 Z F& ,/, H3/« f º&ÄÈÑÙT]OpoNj]`_^ons:kqtÎ<] s1o¤È?ihKjxo<Äw1onwNoN_g!<Ä È<k)pok¸sót¸rh:À]OhwoK3 Q [ P Dx7KS!5 [ M I<@ b&DG6 [ @ y±7 @ S >"X- [ J D P [ X [ L/5 >"@A Z 7KyzDx9ESE6E5 c Q IÖ 4 Z dN3/> 9 D @ Lq¡S [ @ ® Z 3Q 7K6 [T[ A + ¥3 3W , /23< 7 A 6E5TD @ L [ M¤9 [ X D A 9 3<¬8¬w¬n3?B 7 Pwg>"@ Dx9Ey [ MS 7 A 6E5TD @ Lg>" 7K6 3gîn_pqTNtN]Orqj´rq_p f _Tuq]_-o8oKtn]_TuÕȪoN]`NtNi¥¢¢ + 1/0 Ý 1/3QTD A >"XGX + Q 3 + U [ @A + a3^>"@A ® [q L XY> 9 + 3GF¤ ,/,/, 3-¬@A 9ESE6ED >"X b >"X D A> SED [ @ [ M > y X ¡SED ~X 7S87 P8~@ Dx¾ 7 g>" 7K6 A 6E5TD @ L(9EDGy XY> S [ 6 3Wº&Äó¨óÖî¤ó\t¸k)hwo8oEpq]_Tu"kEsªo f _Tuq]_-o8oNtNÀ]_Tu8ó\t¸k)hwonwrq_pó\t¸k)pqh15e~rqj]iÈ<kq_1s1oNtEoK_hwoK3 4 @g>" 7KDGy + Z 4 3~3g0ð& Ý /2/3QTDGy XY> SED [ @ Q P Dx7 @P 7:9 Q ¬­B Q Z ¬nF=0/2/2/3 QTDGy XY> SED [ @ 9 P Dx7 @P 7:9 0/2/2 + U 687 > + Z 4 + 6 [<; DGDb7K689ED [ @ 3 Z ®¡ ; ¼BÑ3 Q [ MS > 687 A 7:9 P 6ED SED [ @> S F SES F ;?; WW 3 98DGy±9 P Dl¡7:9w9 P [ 6 3°P [ y ;* 9 ; 7 @ L ; 9EDGy±9 P D 6 [ A P S89 ; 6 [ A P S X Dx9ES ; 6 [ ¬8¬ ; A 7NM > X S 3 SEy cO>qP:P 7:98987 AD @ Q&7 S87Ky³-7K6 0/2/2"HTdN3Q [ D @ D @ 7 @ + BÑ3 ,/,/. 3B [ A 7 X D @ L [ M 7K³ A 6E5&D @ L 3ô¥tNiq]`_&uÚº<oEhKª_kqjGk8uqizï£ + 0/ Ý& /3Q [ 6ED @ + BV3 Ô 3>"@AU 6 [ A 5 >"@ 9 5 +Ô 3TBV3- ,/, 03 4 y±7KS [ A M [ 6S 7K6Ey [ A 5 @g> yzD P [ ¡SEDGyzDG½ > SED [ @F<¬N3 7 [ 6E5 >"@A(>"~~X D P1> SED [ @ S [ >"@(> yzy [ @ D > ¡!9E5 @ S 7:9EDx9 ~XY>"@ S 3 f _-oKtuqiïï + 12 ,)Ý /3Q 687 @ L + ® 3Ø¥3GF ,// 3¿oKoN_^oNtu/iírq_rqji"n]`rq_-pòªoÑoN_-oNtOuqiþt8oEÛK&]tEoNoN_Ñk¸soK_-oNtOuqi±Ni*K!oN=N3~ 6 > 7KL7K6 ³ X Dx9 7K689 3g 7 × [ 6 3QTS >"@A DGL X +; 30/2/2"H3´ 7 P8 7KyzD P1>"X D @A 9ESE6E5 F Z g>"XGX 7 @ L7:9 >"@AV>"@ 9 7K689 3Ȫ]]Ooîn_&uoN_]voN&tº<oEhNª_g]h9Ü + 0 Ý 0 , 3QTS > SEDx98SED P 9 [ 6 > 5 F¨0/2/2/3~ 7K³9EDGS87 FÖ SES F ;?; WW 3 989E³ 3 @ [<; 7 @ L X Dx9 ; 9 ³ µ 7 P S89 ; cO>qP ¡P 7:9w987 A D @RBÚ> 6 Pwê0/2/2/dN3

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Þ\ß"àGßá:âãnäKå-æ/ç KHTðQTS > SEDx9ESED P 9 [ 6 > 5 F0/2/2"H3 7K³9EDGS87 F< SES F ;?; WW 3 989E³ 3 @ [<; 7 @ L X Dx9 ; 9 ³ µ 7 P S89 ; cO>qP ¡P 7:989w7 A D @BÚ> 6 Pwê0/2/2/dN3QTS [ A [ XY> + 4 3^ /,/ 3 7 P 5 PKX 7 6 [ P 7:98987:9 [ M?S 7L > 9W7 @ L/D @ 7 c D @ Ò 7K6Ey >"@dN3Uf?ËÐ-ôî£-¢ + 12 Ý 12 , /3QT½ > 6EL S + a3>"@A± 7KS87 XY> +T; 3GF , . 3 f<¦ oNtOuqiÇöv]_zóØkqjü]`wª)ø"3q 5 A> @ D P S >|¤> ~[ [ ¡ 7 Pw~@ D P ½ @ 7 3g> 689 > Æ+ [ XY>"@A3QT½ > 6EL S + ag3 + B [ 6E6EDx9 + ® 3 ; 3>"@A QTS87 > 6 A + ²3 ; 3GFW ,// 3 f<¦ oNtu/irq_r/jüi"n]`Æk¸sƪoNtNÀ±rqjü§hNªoN]Oh8rqjrq_p±o:vrqj`j&tuq]Oh8rqjmtEk1hwonn:onK3¶ 7KyzDx9 ~ 7K687 3 7 × [ 6 + ë Q&4 3?> D + Q 3^>"@A>"@ M ¥3 Ò¤[ A> +^ 3-BV3? ,/ 3 Z 7KyzD P1>"X 7 J 7K6EL/5 [ M [ 6EL >"@ D P y > SES87K6¤D @ > 9ES87 > S87K6 3în_g!oNtN_r/]Okq_rqj¹&kqTtN_rqj?k¸s f _1]tEkq_oN_rqj«p/]OonØ¢-Ü + /2 Ý KH3 [ ³-7K6 + IØ3GF ,/, ð&3Ȫ~oN]h8r/j^mtEk1hwonn(knm-]]Y:r/]Okq_Ñ©<]ª·ªorq]OpÚkEso ¦ oNtOuqi"§oEh8kqÀ_k/=]OhNrq_-p=jü] s:o¤h:i/h:jGo¥rqw:oNwnoN_O3< ® S 7:98Dx9 3 ®¤7 X MS ë@ DGb7K6898DGS!5 [ M 7 Pw~@ [ X [ L/5 +®¤7 X MS + S 7 7KS 7K6 XY>"@A 9 3 [ X y >"@ +; 3 Z 3">"@A² D @ 7 + ?3 Z 3& , H 3¼@ S 7¨DG6E687Kb7K689EDG³ X 7 6 [ A P SED [ @ [ M7 @ SE6 [ 5 3ØoK1]OoK©k¸s¤éÚk1poKtn_óªi"N]hNØ¢ +g. Ý ð/ð&3 [ @A 7 6 + ® 3GF¤ ,/, 23-I ¾ D g> 6ESEDGSED [ @ [ M¨7 @ SE6 [ 5 6 [ A P SED [ @F 4 A 7:9EDGL @>"@A [ SEDl¡yzDx9 > SED [ @ÑP 6EDGS87K6ED [ @ D @Pw 7KyzD P1>"X 7 @ L/D @ 7:7K6ED @ L 3]`_ Q 3 QTDx7 @ D S5 P ½ >"@A·?3 Q >"XY> y [ @c 7 A 9 d + Äpq*rq_hnonW]`_꺴ªoKtn±k1pqiq_r/=]OhN1<ÌÖ]_]!oNÀ]oƺ´ªoNtN±k1pqiq_rq]OhN\rq_-pº´ªoNtNÀ±k)oEhwkq_kq]OhNN3> 5 X [ 6 >"@ADz 6 >"@P Dx9 + 7 × [ 6 3~3)ð .)Ý 0/2 3 [ @A 7 6 + ® 3^>"@A b >/>"X 7 @ + IØ3 ,/ ð&3^I ¾ D g> 6ESEDGSED [ @ [ M7 @ SE6 [ 5 6 [ A P SED [ @3 4 @[ SEDGy >"X DGS5 P 6EDGS87K6ED [ @ M [ 6SE6 >"@ 9¸MO7K6 >"@A 987 g> 6 > SED [ @Å 6 [ P 7:98987:9 3în_pqTNtN]rqj f _Tuq]À_-owoNtn]_Tu(rq_pÚȪoN]`NtNiØon1oErqtEhNª¢ +. 2 Ý&. 3 6EDG³ 9 + BV3GF , /3º´ªoKtn±k"Kvr/]hKrq_pVº´ªoNtN±k1pqiq_rq]OhNN3 Ô >"@· [ 9ESE6 >"@A3^ 7 × [ 6 3 9 > S89 > 6 [ @ Dx9 + Ò 3GF|0/2/2 . 3 ®¤7 @ DGSED [ @ 9 >"@AÕ@ [ y±7 @PKXY> S 687D @ 7 J 7K6EL/5 >"@g>"X 59EDx9 >"@A7 J 7K6EL [ 7 P [ @ [ yzD P 9 3Ö]_ Q 3 \µ 7 X 9ESE6 + a3IØ3¶ 9ES >qA + ¥3 Ò @A 7K68987 @ + 4 3 ; ì/9 µ [ 6 A 7>"@A Ò 3~ 9 > S89 > 6 [ @ Dx9 c 7 A 9 d + ó\tEk1hwowoEpq]_Tu"±k¸sº´ªo=Ê"X th f È\Ã\« È<kq_)s:oNt8oN_hnon§=дk/jGËîN3?>" DG64 P1>qA 7KyzD PÆ 687:989 F< 6 [ @A 7KDGy + [ 6 > 5 3g~3g/0 Ý /0 . 3ë D A 7 + =3/ë3/>"@A±UW> 9 D + U¤3 ; 3/0/2/2"H3 7K6Ey [ A 5 @g> yzD P>qP:P [q @ SED @ L [ M^7 P [ 985&9¸¡S87Ky P [ @ SE6EDG³ SED [ @ S [ 7 P [ @ [ yzD P 987 P S [ 689 DGS ·>"~~X D P1> SED [ @ S [ ,/, 0ë QR7 P [ @ [ y5 3f _g1]`tEkq_oN_vrqj«-hK]voN_hnor/_pÕºoEhKª_kqjGk8uqi|£ » + H 12 Ý H 0ð&3

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KH Þ\ß"àGßá:âãnäKå-æ/ç

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9 [q 6 P 7:9 >"@A 9w7:¾ 7:9ESE6 > SED [ @ D @ L7 [ X [ L/D P1>"X M [ 6Ey > SED [ @ 9¨¡ P [ >"X ³^7 A 9 >"@AA 7:7 9 >"X D @ 7> ¾ DlMO7K689 3gÄ]`tÆrq_-pMRrqN!o¥éÚrq_r1uToNoN_g<Äw:k1hK]Or/]Okq_l£ + "H .)Ý ð& . 3 DGS87 +&; 3GF\ ,/, H3T 687NM >qP 7 3]`_=U3 4 XGX 7 @ ³5 >"@A ® 3 ; D P8g> 6 A 9 c 7 A 9 d + º´ªoÙt8o8oN_]_TukEsîn_pqTNtN]r/j f h8kqni"N!oN=K3g¤> SED [ @g>"X 4 P1>qA 7Ky5 687:989 F\> 9 D @ L/S [ @ ® Z 3g~3 ÔØÝÔ ¬N3 D XxA + BV3 + ¼ y 6 > + 4 3>"@A Ò D X L7 @ + ¶3 ,/,/ 3 7 A Dx9ESE6EDG³ SED [ @ [ M9 [ XY> 67 @ 7K6EL/5> SWS 7 I¨> 6ES ¯°99 6¸M >qP 7 3<ÙoEknmªi"n]Oh8rqjS|on:oEr/t¸hNªÎoKO!oNt¢ + Hðq Ý Hðq3

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Þ\ß"àGßá:âãnäKå-æ/ç KH , D XG 7 X y±989 [ @ + U¤3 + ²g> L7K6 [ X y +| 3 + D X 989 [ @ + 3>"@A QTS87 @ 9ESE6 y + Q 3Æ ,/, H3 4 @7 J 7K6EDGy±7 @ S >"X 9ES A 5 [ M P [ @ S >qP S P [ 7 ÓP Dx7 @ S89D @ g>" 7K6 A 6E5TD @ L 3ºrnmm-]¹&kq&tn_r/jÜÜ + ./,)Ý 3 D XG 7 X y±989 [ @ + U¤3 + D X 989 [ @ +~ 3 + QTS87 @ 9ESE6 y + Q 3>"@AÇ D @ y±7K689ES87 A S +; 3 ,/, 3 QTDGy¡ XY> SED [ @ y [ A 7 X 9 [ My X SEDl¡ P 5 X D @A 7K689 g>" 7K6 A 6E5TD @ L 3ôÆtniq]_Tuêº-oEhNª_-kqjlkwuqiïgï + /)ð/ð Ý10/2 . 3 6EDGL S + Q 3g0/2/2"H3 Z\[ y g> 6EDx9 [ @ [ MS 7¥S 7 [ 687KSED P1>"X´ 7K6¸M [ 6Ey >"@P 7 [ S87 @ SED >"X [ M?M 7 XP 7 XGX 9 >"@AR 7 > S7 @ L/D @ 7:9 3ØoK_-oN©¨rNjxo f _-oKtuqi¢ + )ð ,)Ý ,/. 3× 7 [ + ×z3 + ¶ >"@ L + 3 + × D + Q 3>"@A >"@ L + ¶=3"0/2/2"H3/B [ A 7 X D @ L [ MS 7 A 6E5TD @ L 6 [ P 7:989D @Çg>" 7K6 ~XY>"@ S89 3-=kqtEo8rq_·¹&ËWȪ~oN]h8r/j f _Tuq]_-o8oNtN]_Tu=¢ï + ðq Ý ðq/3× D + ¶3 + ¶¤> + a3 + ë D A 7 + =3/>"@A=UW> 9 D + U¤3/0/2/2"H3/¶ Dx7K6 > 6 Pw D P1>"X S 7K6Ey [ A 5 @g> yzD Py±7KSE6ED P 9M [ 67Kb >"X > SED @ LS 7\7 @ b&DG6 [ @ y±7 @ S >"X 9 98S > D @g> ³~D X DGS!5 [ MD @A 9ESE6ED >"X 6 [ P 7:98987:9 3f _g1]`tEkq_oN_vrqj-ó\tEk8uqt8onw¢g£ + /2/0 Ý KH3$ b [ X D @ 9 Pw D + 4 3 + a [ g>"@~@ 7:98987 @ + IØ3g>"@A \µ 7 X 9ESE6 + Q 30/2/2//>3g 7987 P [ @ARXY> [ ¡SEDGy >"X [ 7K6 > SED [ @ [ M >·g>" 7K6 A 6E5TD @ LVy >qP8 D @ 7 3zȪoK=]Oh8rqj f _Tu/]`_-owoNtn]_TuÑ«-h:]OoN_-hwo ï + / . Ý ///03$ b [ X D @ 9 Pw D + 4 3 +<\µ 7 X 98SE6 + Q 3?>"@AV¶ [ X y|³^7K6EL + 4 3GF0/2/2/3I<J 7K6EL/5 >"@g>"X 5&9EDx9 >"@AX DlMO7N¡ P 5 PKX 7 >"@g>"X 5&98Dx9 [ M >Õg>" 7K6yzD XGXv3]`_V3¨¶ [q ³ > + U¤3¨I<X y±7KL >/> 6 A + U¤36 b >"X 7>"@A BV3<B [ 6 >"@èc 7 A 9 d + ó\tEk1hwowoEpq]_Tu"kEs·º´ª~oêÊOR th f È\Ã\«èÈ<kq_)s:oNt8oN_hnon§ÕÐkqjxË\îEîEîN3Z\[ 7 @~g> L7 @ + ®¤7 @ y > 6 3~~3 . HTð Ý ./. H3$ b [ X D @ 9 Pw D + 4 3 +T\µ 7 X 9ESE6 + Q 3 + U [ XGXY>"@A + ¼=3>"@A b >"@A 7K6 [&[ D + ¶=3T0/2/2/ ³ 3TIJ 7K6EL/59 98S > D @g> ³~D X DGS!5ÆD @A D P1> S [ 689 > 9 > S [T[ X D @ D @A 9ESE6ED >"X 7 P [ X [ L/5 3 4 ~~X D P1> SED [ @ S [ S [ L > 9¸¡ 687 ARP [ y³~D @ 7 AP 5 PKX 7 [ 7K6 ~XY>"@ S89 3¹Tkq&tn_-rqjk¸sîn_p/Ktn]Orqj f h8k/jlk8u/iÚö­rh8hwo!m^!oEpNø"3$ b [ X D @ 9 Pw D + 4 3 +"\µ 7 X 9ESE6 + Q 3 + U [ XGXY>"@A + ¼=3q>"@A b >"@AA 7K6 [&[ D + ¶=3GF´0/2/2/03q¬!@PKX A ¡D @ LÇ7 J 7K6EL/5 >"@g>"X 59EDx9D @ D @A 98SE6ED >"X 7 P [ X [ L/5 F 7 P1> 9w7 [ M P [ y|³~D @ 7 A·P 5 PKX 7 [ 7K6~XY>"@ S89 3]_ Ò 3~ 9 > S89 > 6 [ @ Dx9 + BV3~B [ 6 >"@ + ²3 Z ½:Dx7:9 XY>z>"@AR¥3~U 6 P @ 7 @Ñc 7 A 9 d + ó\t¸k/ÀhwowoEpq]_Tu"k¸s|º´ªoÊ?m th f È\Ã\«È<kq_1s1oNt8oN_hwoN§Ð´kqjxËîN3qU 7K6 X D @ + Ò 7K6Ey >"@ 5 3q~3/ðq Ý 23

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Page 169: Analise Exergia e Produçao Entropia

n å~åpo2qSrßts n . ujvwvTxyzw|W~uP<Ex: zx"<|vO|NyYP,?OxU z?GTUywzT^ywzS?^ywz|?|^yD+cUy^OduSywz ï\\:UO&%N&O"F ^¡¢F£L¤£^¥¦¡:<¤§N¤¡¤©¨[ª)¤£¡ <XY>"@ S´4ÑDx9 >"@ D @ S87KL/6 > SED [ @ ³-7KS 7:7 @> 9ES >"@A> 6 AÆ [ 7K6 ~XY>"@ S c Ò 687:7 @~ [q 987 ;=4 ® 6 [ ¡L/6 > yzy±7 0/2/2/2d +g D P8 Dx9 >@g> S 6 >"X L > 9¸¡ 687 A L > 9¸¡vS 6E³~D @ 7 P [ y³~D @ 7 AP 5 PKX 7 + >"@A>Z ¼

2> yzD @ 7 > ³9 [ 6 SED [ @c 4 U Q d´~XY>"@ S 3?² DGL 687W4 9 [ 9<S 7 6 [ P 7:989 û [ A D > L/6 > yM [ 6WS Dx9 ~XY>"@ S +g D X 7 > ³ X 7:94 Æ>"@A 4 L/DGb7¥S 7 6 [ P 7:989Ø98SE687 > y A> S >3

7 P [ y|³~D @ 7 AòP 5 PKX 7 P [ @ 9EDx9ES89 [ M > L > 9¸¡vS 6E³~D @ 7 c Ò d 7K687 @g> S 6 >"X L > 9 c¸)d Dx9P [ y³ 9ES87 A DGS > DG6 cO0d\ 687Kb&D [q 9 X 5 P [ y 687:98987 A D @Ú>"@ê> DG6 P [ y 687:989 [ 6 c 4 Z dN3 4M`¡S87K6S 7 P [ y|³ 9ES [ 6 + S 7 DGL ¡vS87Ky 7K6 > S 687 >"@A DGL ¡ 687:9w9 687z7 J&g> 98SL > 987:9 cHTd7 @ S87K6 > S 6E³~D @ 7 cd 7K687S 7K5|7 Jg>"@A| 6 [ A P D @ L¥9 g> MS [ 6 3? Dx9 [ 6 Dx9 987 AS [ A 6EDGb7=S 7 > DG6¸¡ P [ y 687:989 [ 6 c 4 Z d>"@A S 7L7 @ 7K6 > S [ 6 c Ò dN3 7 7 > S P [ @ S87 @ S [ MS 7W7 Jg> 9ES<L > 987:9 c . d Dx9ÖSE6 >"@ 9¸M7K6E687 A S [ S 7W9ES87 > y P 5 PKX 7D @>"@ @ 687 Az 7 > S<687 P [ bT¡7K6E5Ç9ES87 > y L7 @ 7K6 > S [ 6 c¶ ; Q Ò dN3~ 79ES87 > y L7 @ 7K6 > S87 A 7K687|7 Jg>"@A 99 P:P 7:9898DGb7 X 5D @Õ> 9ES87 > yS 6E³~D @ 7 c Q d DGS S 687:7 687:989 687 X 7Kb7 X 9 F> DGL ¡ 687:989 687 c¶ ¡­Q d +> y±7 A D y¡ 687:989 687 cBê ¡­Q d + >"@A>X [ ¡ 687:9w9 687±9ES87 > y S 6E³~D @ 7 c ¡­Q d + 687N¡9 7 P SEDGb7 X 5 3 7Ø9ES87 > y P 5 PKX 7Ø7 @A 9 DGS >¥P [ @A 7 @ 987K6 c Z ¼ ® d S g> S 9w7:9Ö987 > > S87K6> 9 P [T[ X D @ L > L7 @ S 3Ö 7 [ ù ¡!9ESE687 > y P [&[ X D @ Lz987 > > S87K6WDx9687 X 7 > 9w7 A D @Ç>|XY> 6EL79 6¸M >qP 7987 > > S87K6³ [ A 5 + ³ [ A 5S g> S P1>"@ ³-7 >= 7 > S9 [q 6 P 7¤M [ 6WyzD P 6 [ >"X L > 7ÆL/6 [ D @ L 3 7=7 J&g> 98SL > 9 cO0)d Dx9 @ [ Sb7 @ S87 A S [ S 7 @g> S 6 >"X 7 @ b&DG6 [ @ y±7 @ S + ³ SDGSDx9 689ESPKX 7 >"@ 7 A M6 [ y Z ¼

2D @> y [ @ [ 7KS g>"@ [ XY> yzD @ 7 cBÚI 4 dP8 7KyzD P1>"X> ³9 [ 6 SED [ @ 6 [ P 7:989

D @ S 74 U Q ~XY>"@ S 3 7 ~XY>"@ S P [ @ 9EDx9ES89 [ MÖS 7ÆM [ XGX [ D @ L @ DGS89 FØ> MO7:7 AP [&[ X 7K6 Z c 7K687z9ESE687 > y 0 Dx9 P [&[ X 7 A> S 0 . 0 Z d + > ³ X [ 7K6 c 7K687S 7 687:989 687=Dx9¥9 X DGL S X 5D @P 687 > 987 AÑ> S /3 0 ³ > 6 d + > Z ¼ 2> ³9 [ 6 SED [ @ S [ 7K6 c 7K687 Z ¼ 2

Dx9 P8 7KyzD P1>"XGX 5 > ³¡9 [ 6E³^7 A ³5±y±7 >"@ 9 [ M BÚI 4 d + > 687KL7 @ 7K6 > SED [ @RP [ X y @c 7K687 BÚI 4 Dx9\687KL7 @ 7K6 > S87 A³T5y±7 >"@ 9 [ M > y±7 A D y¡ 687:989 687|9ES87 > y>« > yzD J S 687 [ M Z ¼

2>"@A > S87K6b >" [q 6WDx9687 X 7 > 987 Agd + >zû> 9 7K6 c 7K687 > S87K6M6 [ yS 7|yzD J S 687|Dx9¤987 g> 6 > S87 Agd + >P 6 [ 989¸¡ 7 > S7 J~P8g>"@ L7K6 c Z ¶I\d + S [ y 9 + >"@A S [ > DG6 P [&[ X 7K689 Z 0>"@A Z 3 49³ > 9EDx9ÆM [ 6S 77 J 7K6EL/5 P1>"XxP XY> SED [ @ [ MS 7 Z ¼

24 U Q ~XY>"@ S + S 7 IÖP [ > yzD @ 7 ² Ò 6 [ P 7:989=³T5

²?X [q 6® >"@ Dx7 X > 9 987 ACc Q >"@A 7K6 ,/, )dN3 7 Pwg> 6 >qP S87K6EDx9ESED P 9 [ MÖS Dx9 6 [ P 7:9w9 > 687 F>ÇBÚI 4 9 [ X b7 @ S û [ [ M 0 2/2 y 3/ c¸1210 L

/y 3 + /2 S 3­¬ [ M BêI 4 D @ÑX Dx¾ D A

> S87K6 d + > y±7 A D y¡ 687:989 687¤9ES87 > y û [ [ M 0ð&3 , y 3/Úc DGS >Æ 687:989 687 [ M H3 0 ³ > 6>"@A DGS > S87Ky 7K6 > S 687 [ M KH . 0 Z d + >"@AR> , 2O¬ 687 P [ b7K6E5 [ M Z ¼

2c ,/,= S 3­¬ Z ¼

2 6EDGS5 dN3< 7 A 7KS > D X 7 A 6 [ P 7:989 û [ A D > L/6 > y [ MS 7 Z ¼24 U Q ~XY>"@ S\Dx9ÖL/DGb7 @Ç>"X 9 [

D @R² DGL 3 4 + A [ @ 9ESE687 > y M6 [ y S 7|9ES >"@A> 6 AÇ [ 7K6 ~XY>"@ S 3

Page 170: Analise Exergia e Produçao Entropia

. 0nå~åpo2qSrßts n

G T2

M PD r u m

3 23 3

H R S G

H P - S T G

A C T

L PD r u m

3 5

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H PD r u m

M P - S T L P - S T

1

3 1

B l o w e r

F e e d c o o l e r C 1

Absorptiontower

C H E

Regenerationcolumn

C O N D3 6

3 83 9

A i r

3 45

R e b o i l e r

C O 2

C o o l e r C 2

C o o l e r C 3 Flasher

4 4 4 7

4 5

4 6

N a t u r a l g a s

N a t u r a l g a s - f i r e d c o m b i n e d c y c l e p o w e r p l a n t C O 2 a m i n e a b s o r b t i o n ( A B S ) p l a n t

4 1 M a k e - u p w a t e r

M P s a t u r a t e d s t e a m ( 1 4 5 0 C , 4 . 2 b a r )

Fuel exp 5 0

4 3

3 7

3 4

S e a w a t e r

4 94 8

W a r ms e a w a t e r

C l e a n e d e x h a u s t g a s

3 4 b i s

̨]GuqTt8o¥Ä|ÊË\ót¸k1hnonwPJkq©Åpq]Guqt¸r/s:kqtó\jGrq_g?ÄË

Page 171: Analise Exergia e Produçao Entropia

n å~åpo2qSrßts n . ºgrKjGo¤Ä|ÊË\ót¸k1hnonwNt8oErqpr/vrÚöONt8oErq _&±woNtw§zrqwpJk/©þtEr/!oövø)§

±kqjxoEhK&jGrqt|©oN]Gu"ªTöOé¥=ø)§<±kqjlr/th8kqmk"N]]Okq_Cö ¦ i) øWsKk/tó\jGrq_g?ÄËÌkqt¤KtEo8rq_&8oNtn§¨tEo8rpoNtnrqt8o|tEos:oNtNt8oEpÇvkÌÖ]GuËÄÊË [ y Bê J

ic y [ X 7 ¬zd

c L ; 9 d Z ¼2

Z1

Z2+

¶2¼ ¼

2

2 3 0/0 , 3 "H . 3 "H 3 , H 3 2/ 23 2 03 .0 + , ð&3 0 3 , 2 23 2/ 23 "H 0/23eð*H ð 3 ./,H +g.+ 0 ð&13 2 . 0 3 H , H3 2 , ð&3 ð 103 . ð . 3 . + /0 10 , 3 0ð 3 2/0 12/23 2/2/ 1 3 0ð 3 2/0 12/23 2/2"H 3 , ð 3 2/0 12/23 2/2"H ³~Dx9 . H3 /2 3 2/0 12/23 2/2 . , 3 , 3 2/0 12/23 2/2/ + , 12/3 , 2 3 2/0 12/23 2/2ð + H/H , 3 . 3 2/0 12/23 2/2H 23 0/2 3 2/0 12/23 2/2H ð . 3 . 0ð&3 0 23 H0 , 3 . 103 . H ð/ð&3 H H/H + HTð a ð , 23G1 0/3G12 /3 /2 ð&3 /H .+ H b ð*H , 3 H 0/03 /. 23GKH / 3 "HH + H , H/3eð . H3 ,/. ,/, 3eð , 23 0. 2 H23eðq2 H3 , ð ,/, 3 , H 23 2/

a ®S¯:°±.²W³°`´µT±&¶+·9¸¦²´ ¹­¸´ º­±W·G»C¼½¾¹¿²¯´UµT·9º­´ ³Y¶+·9¸,¶+°+¸¦²W³´ ²¹À·9¸·Á<Â9Âà ÄÆÅ9ÇÃb ®S¯,°±.²W³°`´ µT±&¶È·9¸¦²´¹À¸´ºÀ±W·G»C¼½¾¹¿²¯´µT·º­´ ³¶È·9¸:¶È°+¸¦²W³´ ²¹À·9¸·Á<Â9Âà É9É9ÇÃ

¢S\\:UO&%N&O"F ^¡¢F£L¤£^¥¦¡:<¤§N¤¡¤©¨[ª)¤£¡Ê<XY>"@ S U Dx9 >"@ D @ S87KL/6 > SED [ @ ³^7KS 7:7 @z>Ø 5 A 6 [ L7 @ 6 [ A P SED [ @=~XY>"@ S >"@A> 5 A 6 [ L7 @ ¡ 687 AêP [ y|³~D @ 7 AÚP 5 PKX 7 [ 7K6 ~XY>"@ S 3 4èSE6 >qA DGSED [ @g>"X 98S87 > y 687NM [ 6EyzD @ L 6 [ P 7:989 6 [ ¡A P 7:9 > M 7 X DGS Ú DGL ¡ 5 A 6 [ L7 @·P [ @ S87 @ S 3B [ A 7K6 @ L > 9S 6E³~D @ 7:9 DGS êX [ ¤¼

xP [ y³ 9ES [ 689 > 687W687:9ESE6ED P S87 A DGS 687KL > 6 A S [ S 7 @ DGSE6 [ L7 @P [ @P 7 @ SE6 > SED [ @ D @ S 7\M 7 Xv3 7K687NM [ 687 + >"@> DG6¸¡v³ X [ @> S [ ¡vS 7K6Ey >"X 687 >qP S [ 6 c 4 ; d > 9 P8 [ 987 @ S [ 6 [ A P 7 5¡A 6 [ L7 @ M6 [ y @g> S 6 >"X L > 9 cU [ XGXY>"@A 7KS >"Xv30/2/2 + I 6ES87:9Eb~ñ"L 0/2/2 . dN3² DGL 687W4 0 9 [ 9S 7 6 [ P 7:989 û [ A D > L/6 > y M [ 6 <XY>"@ S U + D X 7 ?> ³ X 7:94 0|>"@A 4 L/DGb7S 7 6 [ P 7:9899ESE687 > y A> S >3

Page 172: Analise Exergia e Produçao Entropia

. Hnå~åpo2qSrßts n

H TS

L TS

G T

9 1 1

2

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7

1

6

M PD r u m

3 23 32 72 5

H R S G

H P - S T G

2 1

1 81 7 A C

C O 2

T S F

M I X

3 0

L PD r u m

C O N D

H E 1 H E 2 H E 31 9

H E 4 H E 52 6

5 0

F C

4 1 W a t e r

3 7

H PD r u m

M P - S T L P - S T

2 3

4 5

1 0

A i r

4 3

H 2 p r o d u c t i o n p l a n t H 2 - f i r e d c o m b i n e d c y c l e p o w e r p l a n t

W RM a k e - u p w a t e r

2 2

A T R

C O 2 a m i n ea b s o r p t i o n p l a n t

Fuel exp 3 9

3 6

3 8

2 9

3 1

4 01 4 1 5 1 6

2 4

1 21 3

2 0

3 4 3 5

4 22 8

N a t u r a l g a s

C l e a n e d e x h a u s t g a s

W a r ms e a w a t e rS e a w a t e r

3 4 b i s

3 4 b i s

ËÌtÍ?Î&Ï2ÐCÑCÒYÓTÔPÏ`ÕÖ Ð9× ×ØTÕ"ÙgÚ"Ì.Û¢Í"Ï+Û?ÜÞ

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Page 173: Analise Exergia e Produçao Entropia

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¡ PKX 7 >"@ 7 A±¶2¡v6ED Pw L > 9 cO0/0d Dx9 P [ y 687:9w987 A S [ 103 H ³ > 6

D @> M 7 X?P [ y 687:989 [ 6 c² Z d D @ [ 6 A 7K6S [ M XtX S 7 687:9w9 687|9 7 P D gP1> SED [ @ 687:¾ DG687 A³T5S 7¥L > 9ØS 6E³~D @ 7:9 987 A3

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[ <XY>"@ S4 <XY>"@ S U I chem I tot I chem I totc 0 Z d c ³ > 6 d cBê d cB d c 0 Z d c ³ > 6 d cB d cB d

H . 3 H 23G H3G . 3 H 23G 3 H0 , 10/03 2 23G ð&3GH / /3 2 H3 2 H3 /3 2 3G 3 H/H . H /3 2 /03 H /03 H . H /3 2 . ð&3 . ð&3 H . /1 /3 2 H 3 . H 3 . /1 /3 2 ./. 3 . ./. 3 .H , /3 2 H 3 . H 3 . , /3 2 ./. 3 . ./. 3 .HTð , 2 /3 2 /03 H /03 H , 2 /3 2 . ð&3 . ð&3 H /3 H 3 3 , 3 . , 3 0"H3 . 2 0/2 /3 0 3 3 . 0/2 3 H , 3 H 0"H3 H

£U\ÊG£NN¤ O£NG)¡¢F£N%¨3ªF¤£¡ ¤£^¥Ê4 D 7 X D @ 7N¡!¾ >"X DGS!5 @g> S 6 >"X L > 9 [ M > S87Ky 7K6 > S 687 [ M H 0 Z >"@AÚ> 687:989 687 [ M )ðq2³ > 6 + Dx9|7 J SE6 >qP S87 A M6 [ y >( [ 6 7KL/D >"@ [ ù 9 [ 687L > 9¥687:987K6Eb [ DG6 +´ D P8·g> 9 > y [ XY> 6P [ y [ 9EDGSED [ @ c D @ y [ X 7 ¬zd [ M=y±7KS g>"@ 7 F 3 , H + 7KS g>"@ 7 FCH3 ð + 6 [ g>"@ 7 Fò03G10 +³ S >"@ 7 FÕ23eð/ð + 7 @ S >"@ 7 FÕ23 0/ + 7 J~>"@ 7 FÕ23 2ð + P1> 6E³ [ @íA D [ J D A 7 F . 3 "H + @ DGSE6 [ L7 @F03 .+ >"@A > S87K6 F23 2/3 Dx9L > 9 > 9 Pw [ 987 @Õ> 9S 7|M [ 9w9ED X M 7 X 687:9 [q 6 P 7|D @ ³ [ S [ 7K6 ~XY>"@ S89 3 ² [ 6ÇS Dx9(687:9 [q 6 P 7 + 7 P1>"XxP XY> S87 A >VP8 7KyzD P1>"X 7 J 7K6EL/5 [ M H3 .BÚa

/ L @g> S 6 >"X L > 9 3 4MS87K6ÆDx9|7 J SE6 >qP S87 A M6 [ y S 7687:987K6Eb [ DG6 + S 7 @g> S 6 >"X L > 9ÆDx9 689ES(SE6 >"@ 9 [ 6ES87 A ³5 D 7 X D @ 7:9 >"@A S 7 @ 7 Jg>"@A 7 A D @ > M 7 X 7 Jg>"@A 7K6 3 7

7 Jg>"@A 7K6ØDx9 987 A S [ A 6 [ S 7¥L > 9 687:989 687M6 [ y )ðq2 ³ > 6WS [ 13eð ³ > 6 3 7L/6 [q P [ @ SE6EDG³ SED [ @ y±7KS [ AÚc QT½ > 6EL SW7KS >"Xv3- ,// d > 9 9w7 A S [ 7:98SEDGy > S87S 7Pw 7KyzD P1>"X 7 J 7K6EL/5 P [ @ S87 @ S [ MWS 7±y [ @ [ ¡!7KS g>"@ [ XY> yzD @ 7y [ X 7 P X 7D @X Dx¾ D AÕ~g> 987 34 b >"X 7 [ M /3 . H a / y [ X y [ @ [ ¡!7KS g>"@ [ XY> yzD @ 7 > 9 987 A3 7¥9ES > S87 P [ @A DGSED [ @ 9 [ M?S 7 > DG6 9w7 A D @ S 7 [ 7K6 ~XY>"@ S89 7K687|987KSS [ > S87Ky 7K6¸¡> S 687 [ M 0 Z + > 687:989 687 [ M /3 2 ³ > 6 + > 687 XY> SEDGb7 yzD A DGS5 [ M /2O¬ + >"@A> y [ XY> 6P [ y [ 9EDGSED [ @Vc D @ y [ X 7 ¬zd [ M @ DGSE6 [ L7 @FWð/ð&3 ./+ [ J 5&L7 @F0/23 0 + > 6EL [ @F23 , + Z ¼ 2

F23 2/ + >"@A > S87K6 F23 "H3 7 P [&[ X D @ L987 > > S87K6 > 9 > 989 y±7 A S [ ³^7 > b > D XY> ³ X 7 > S 0 Z +^ D Pw > 9|S 7S87Ky 7K6 > S 687 > S . 2 ¡ 12/2 y 987 >(A 7 S D @ 9 [q S 7K6 @Ñ [ 6 > 5 3 7=6EDx987 [ MS 7 P [&[ X D @ LR987 > > S87K6¥S87Ky 7K6 > S 687 > 9 > 989 y±7 A S [ ³^7 1 0 Z +- D X 7S 7 P [ @A 7 @ 9w7K6ØS87Ky 7K6 > S 687 > 9987KSWS [ ³-7 0"H 0 Z 3 7¤9ES > S87N¡ [ M¡vS 7N¡ > 6ESL > 9S 6E³~D @ 7 + > Ò I , . :² 4 L > 9\S 6E³~D @ 7M6 [ y Ò 7 @ 7K6 >"XI<X 7 P ¡SE6ED Pc Ò Id + > 9 987 A D @ ³ [ S Ñ [ 7K6 ~XY>"@ S89 3 Z > 6E³ [ @CA D [ J D A 7 P [ y 687:989ED [ @ > 9

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n å~åpo2qSrßts n ./,>qP:P [ y ~X Dx9 7 A 9ED @ L > S 687:7N¡!9ES > L7ÕD @ S87K6¸¡ P [&[ X 7K6 P [ y 687:9w9 [ 6 >"@A > 9 ³987:¾ 7 @ S y 3ÇI¨>qPw 98S > L7 [ M P [ y 687:989ED [ @V 7K6¸M [ 6Ey±7 A DGS >"@ Dx9w7 @ SE6 [ D P 7 ÓP Dx7 @P 5 [ Mðq2O¬ +´ 2O¬>"@A /. ¬ + 687:9 7 P SEDGb7 X 5 3= 7 7 > SÆ7 J~P8g>"@ L7K689ÆM [ 6¤D @ S87K6¸¡ P [T[ X D @ L 7K687y [ A 7 XGX 7 A DGS ê>= 687:989 687 A 6 [ [ M O¬3¬@ [q 6y [ A 7 X 9 >"@A 98DGy XY> SED [ @ 9 + 7 > 989 y±7 A S g> S >"XGX¤P8 7KyzD P1>"X 687 >qP S [ 689 + S 7Z ¼

2> ³9 [ 6 SED [ @ S [ 7K6 + >"@A S 7 > yzD @ 7687KL7 @ 7K6 > SED [ @ P [ X y @ > 687 [ 7K6 > S87 Aí> S

7:¾ D X DG³~6ED y 3V> S87K6 >"@A 9ES87 > y 6 [ 7K6ESEDx7:9 7K687(M [ 6Ey XY> S87 A ³T5ÑS 7 ¬ 4 < Q·¡D @A 9ESE6ED >"X M [ 6Ey XY> SED [ @ M [ 6S 7¤S 7K6Ey [ A 5 @g> yzD P¥ 6 [ 7K6ESEDx7:9 [ M > S87K6 >"@A 9ES87 > y ¡c> L @ 7K6 0/2/2/2dN3 4 687:989 687 A 6 [ [ M O¬ > 9 > 9w9 y±7 A D @ 7 >qPw [ MS 7M [ XGX [ D @ L7:¾ D y±7 @ S89 FÚ 687N¡v687NM [ 6Ey±7K6 + DGL ¡ >"@AþX [ ¡vS87Ky 7K6 > S 6879 DlMS687 >qP S [ 689 + >"@A D @7 >qPw [ MÆS 7 7 > S7 JPwg>"@ L7K689 c¶IØ ¡ ¶ . d + >"@A [ @ 7 [ M O¬ D @ S 7 > S [ ¡vS 7K6Ey >"X687NM [ 6Ey±7K6 + S 7 Z ¼ 2

> ³9 [ 6 SED [ @ S [ 7K6 + >"@A S 7 > yzD @ 7¥687KL7 @ 7K6 > SED [ @ÚP [ X y @3

Page 178: Analise Exergia e Produçao Entropia

1/2 n å~åo2qSrßtsÇÞujvwvTxyzw|W jl<Ex: zx"<|vO|NyY1,?OxU z? Uywz U:"wävO|Nyd+ >vO|^yw SywzÊï\3,UO&%G<O"F ^¡¢F£H¤£N䦡:<¤§N¤¡¤©¨[ N¡¢F£² DGL 687 U¤ 9 [ 9S 7 6 [ P 7:989 û [ A D > L/6 > y M [ 6 ¼ SED [ @ Z 3q?> ³ X 7:9 U¤W>"@AzU0 L/DGb7S 7 6 [ P 7:989W9ESE687 > y A> S > M [ 6WS Dx9 [ SED [ @ 7 @ DGS\Dx9 P [ y³~D @ 7 A DGS R<XY>"@ SØ4 >"@A<XY>"@ S U + 687:9 7 P SEDGb7 X 5 3¨¬@ê¼ SED [ @ Z + S 7 Z ¼ 2

P1>" S 687 AÑc . 2d D @ê<XY>"@ S4 [ 6 U Dx9P [ @ b7K6ES87 A b&D >¥~ [ S [ 9E5 @ S 7:98Dx9¨S [ ³~D [ y > 9w9 c . 0d ³5zy±7 >"@ 9 [ M > y > 6ED @ 7ØyzD P 6 [ >"X L > 7P X SEDGb > SED [ @ 985&9ES87Ky 3² 6 [ y A 7 > S87K6ED @ L³T5 P 7 @ SE6EDlM L > SED [ @>ÆA 6E5z³~D [ y > 989 c . dÖ>"@A>X Dx¾ D A 687:9ED A 7 c ./. d> 687 [ ³~S > D @ 7 A3¤ 7 A 6E5R³~D [ y > 989Dx9 P [ @ b7K6ES87 A bTD > ³~D [ y > 989>"@g> 7K6 [ ³~D PA DGL7:9ESED [ @ S [ ³~D [ L > 9 c . HTd±c 7KL/6 >"@AÅ ,/, dÆ> S > S87Ky 7K6 > S 687 [ M )ð 0 Z>"@A S 7 > SEy [ 9 ~ 7K6ED P 687:989 687 3Å 7R³~D [ L > 9 [ ³~S > D @ 7 A Dx9 > L > 9±yzD J S 687 [ M . 2 S 3­¬ y±7KS g>"@ 7 >"@A . 2 S 3­¬ Z ¼

23 4 g> 6ES=M6 [ y S 7³~D [ L > 9 + > 9 [ X D A 687:98D A 7Dx9687 P 7K6 > S87 AV> S|S 7±³ [ SES [ y [ M A DGL7:9ES87K6 3( 7±³~D [ L > 9ÆDx9 6 [ P 7:9w987 A ³5Õy±7 >"@ 9 [ M

> 687:9w9 687R9 D @ L >qA 9 [ 6 SED [ @èc Q&4 d [ @ y [ X 7 P XY> 69EDx7Kb7 P1> 6E³ [ @ c >" [&[ 6 >"@A×>"@ L ,//, d + D @ [ 6 A 7K6S [ê[ ³~S > D @ò> y±7KS g>"@ 7N¡v6ED P8 L > 9 c ./ dN3Ú 7 P1>"XGX 7 A S Dx9=L > 9S 7±985 @ S 7KSED P L > 9 c ./ d + >"@A 7 > 9w9 y±7 A S g> SÆDGS g> 9 >( 687:989 687 [ M 0/2 ³ > 6 >"@AP [ @ S > D @ 9 > yzD J S 687 [ M , 2 S 3­¬ y±7KS g>"@ 7 >"@AC12 S 3­¬ Z 223 4S¤S Dx9¥9ES > S87 + S 79E5 @ S 7KSED P L > 9\Dx9 A Dx9 [ 987 A D @>A 7 ~X 7KS87 A L > 9¨687:987K6Eb [ DG6 3<¬@ [q 69ES A 5 +T 7 > 989 y±7 AS g> S¤S 7 P1> 6E³ [ @P [ @ S87 @ S [ M¨S 7 Z ¼

2P1>" S 687 A D @Õ<XY>"@ S89¥4 >"@AU Dx9D @ S87KL/6 >"XGX 5

P [ @ b7K6ES87 A D @ S [ S 7 P1> 6E³ [ @ [ M³~D [ y > 989 3Õ Dx9 P [ @ b7K689ED [ @ Dx9 P1> 6E6EDx7 A [q SD @ S 7y > 6ED @ 7WyzD P 6 [ >"X L > 7 P X SEDGb > SED [ @ 9E59ES87Ky +/ D P8P [ @ 9EDx9ES89 [ M987Kb7K6 >"X´12/2/2¤g> ¡ [ @A 9 3I¨>qPw· [ @A Dx9¤³ D XxA M6 [ y 0/2g> ¡vy [ A X 7:9 c 7KL/6 >"@Aò ,/, dN3zI>qP8 y [ A X 7Dx9M7 A³T5 > Z ¼

2¡ > DG6¨yzD J S 687WL > 9 c¸/FG12 S ¬zdN3ë 98D @ LÆS 7:987 > 9w9 y SED [ @ 9 + >"@A S 7 L 687

[ M >"@(> b7K6 > L7 A 6E5¡v³~D [ y > 9w95&Dx7 XxA [ M . L A 6E5T¡v³~D [ y > 989 7K6¨y 2 7K6 A> 5 c Ò¤[ XxA y >"@ , ð , d + 7 P1>"XxP XY> S87 A S g> S > S [ S >"X y > 6ED @ 7 > 687 > [ M 12/2|g>>"@AR . 2/2g> 7K657 > 6

M a r i n e m i c r o - a l g a e c u l t i v a t i o n s y s t e m

C O 2

A i r

5 5

B i o g a s C H 4 , C O 2

D e - w a t e r i n g u n i t

5 0S y n t h e t i c g a s

F e r t i l i z e r s

5 15 2

5 3

5 4

5 6

5 75 8C O 2 - a i rm i x i n g B i o g a s p r e s s u r e s w i n g a b s o r p t i o n

B i o m a s s d i g e s t i o n

C O 2

̨]Guq&tEoC*ÊËWó\tEk1hwonnwJWkq© pq]Or1uqtErq sKkqtzÃm-]Okq_ ÈÖË

Page 179: Analise Exergia e Produçao Entropia

n å~åpo2qSrßtsÇÞ 1Dx9687:¾ DG687 A S [ SE6 >">"XGXP1> 6E³ [ @ M6 [ y S 7 Z ¼

2P1>" S 687 A D @R<XY>"@ S4 >"@A(<XY>"@ S U +687:9 7 P SEDGb7 X 5 3

7M [ XGX [ D @ L687 >qP SED [ @ > 9 9w7 A S [ P1>"XxP XY> S87S 7 P [ @ b7K689ED [ @ [ M Z ¼ 2D @ S [ ³~D [ y > 989

cU 7 7K6 ,/, HTdNF

106CO2 + 236H2O + 16NH+4 + HPO2−

4 = C106H181O45N16P + 118O2

+171H2O + 14H+

ë 9ED @ L¤S Dx9687 >qP SED [ @ + [ @ 7 P1>"@±P1>"XxP XY> S87S g> S >"@±> y [q @ S [ M /3 ./. L ¼ 2 7K6 L A 6E5¡

³~D [ y > 989 P1>"@ ³^7±687 X 7 > 987 A D @ S 7 @g> S 6 >"X 7 @ b&DG6 [ @ y±7 @ S 3ê¬!@V>qA~A DGSED [ @ + > ³~D [ y > 989Pw 7KyzD P1>"X M [ 6Ey XY> [ M c Z106¶

181¼

45

16d > 9 9w7 A S [ @A S 7¤³~D [ y > 989Ø7 X 7Ky±7 @ ¡

S >"XÖP [ y [ 9EDGSED [ @3= 7 P1>"XxP XY> S87 A S g> S¥S 7³~D [ y > 989Æ5TDx7 XxA [ M > y [ Dx9ES 687 P [ @ S87 @ S[ M , 2 S ¬g> 9|S 7M [ XGX [ D @ Lê7 X 7Ky±7 @ S >"X\P [ y [ 9EDGSED [ @Åc D @ y > 989 ¬ > 9 ¡OM687:7 A 6E5¡y > SES87K6 d [ M P1> 6E³ [ @F . 03 H + 5 A 6 [ L7 @F ð&3 H + [ J 5&L7 @Fí0 , 3eð + @ DGSE6 [ L7 @F , 3 0 + >"@A~ [ 9 ~ [ 6 9 FØ/3 3² [ 6S 7 P1>"XxP XY> SED [ @ [ MS 7 A DGL7:9ESED [ @|P [ @ b7K689ED [ @| [ S87 @ SED >"X [ M³~D [ y > 989´D @ S [ y±7KS g>"@ 7 + 7 987(S 7R7:9ESEDGy > SED [ @þ 6 [ b&D A 7 A ³5 7KL/6 >"@Aèc¸ ,/, d S g> S . 2 y X [ M¤y±7KS g>"@ 7> SØ9ES >"@A> 6 AR 687:989 687 c¸/3 2 ³ > 6 d>"@A S87Ky 7K6 > S 687 cO0 . 0 Z d> 687¤M [ 6Ey±7 A 7 @ [ @ 7L/6 > y [ M Pw 7KyzD P1>"X [ J 5&L7 @|A 7Ky >"@A(c Z ¼ ® d Dx9 P [ @ b7K6ES87 A S [ ³~D [ L > 9 c 7KL/6 >"@A ,/, dN3 7=6 > SED [ ³^7KS 7:7 @ Z ¼ ® >"@A b [ XY> SED X 7±9 [ X D A 9 c Ô Q d [ M¨M687:7N¡ > 9 ÕA 6E5¡v³~D [ y > 989 > 9987KSzS [ /3 03 4SzS Dx9z6 > SED [ + . 2 y XWJÅ/3 0H0/2 y X y±7KS g>"@ 7Ç687:9 X S89±M6 [ y S 7P [ @ b7K689ED [ @ [ M [ @ 7 A 6E5¡vL/6 > y [ M?³~D [ y > 989 3 7 [ S 7K6 6 [ A P SM6 [ y S 7 Q&4 6 [ P 7:989Dx9 > Z ¼

2¡!7 @ 6ED P8 7 A > 9ES87¤L > 9Ø9ESE687 > y 3 7 > 989 y±7 A S g> SS Dx9¥9ESE687 > y Dx9687 P DG6 P XY> S87 A D @ S [ S 7|y > 6ED @ 7yzD P 6 [ ¡ >"X L > 7 P X ¡

SEDGb > SED [ @ 9E59ES87Ky > MS87K6 A D X SED [ @ DGS > DG6 3ض [ 7Kb7K6 + S Dx9 > 9 @ [ S P [ @ 9ED A 7K6D @ [q 6P1>"XxP XY> SED [ @3 7 [ S 7K6 6 [ A P S89¥M6 [ y S 7z³~D [ y > 989 A 7 > S87K6ED @ L @ DGS >"@A M6 [ yS 7¤³~D [ y > 989 >"@g> 7K6 [ ³~D PÆA DGL7:9ESED [ @R 6 [ P 7:989 > 687 >=X Dx¾ D AR>"@A 9 [ X D A 687:9ED A 7 + 687:9 7 P ¡SEDGb7 X 5 3Ñ 7K5 P [ 6E687:9 [ @A S [ S 798SE687 > y±9 ./. >"@A . + 687:9 7 P SEDGb7 X 5 + D @ ² DGL 3?U¤/3 7 @g> y±7 A S 7:987687:9ED A 7:9 > 9S 7 X Dx¾ D Aí>"@A 9 [ X D A MO7K6ESED X Dx987K6 + 687:9 7 P SEDGb7 X 5 + ³-7N¡P1> 987S 7K5 P [ @ S > D @ ³~D [ A 7KL/6 >qA> ³ X 7 5 A 6 [ P1> 6E³ [ @ 9 >"@A yzD P 6 [ ¡!7 X 7Ky±7 @ S89 D P8> 687b >"X > ³ X 7¥687:9 [q 6 P 7:9M [ 6WS 7¥y > 6ED @ 7|yzD P 6 [ >"X L > 7ÆL/6 [ D @ L 6 [ P 7:989 >"@A D @ M [ 687:9ESE6E5 3ʱ¢S7\:UO&G<O"F ^¡¢F£H¤£NL¦¡:<¤§N¤¡¤ ¨[ N¡¢F£¬@z¼ SED [ @ ® + S 7 Z ¼ 2

687 P [ b7K687 A M6 [ y [ 7K6 ~XY>"@ S89<Dx9 689ES P [ y 687:98987 A±>"@A S 7 @A Dx9 [ 987 A3¬!@ [q 6´98S A 5 + S 7 P [ y 687:9w9ED [ @ [ M Z ¼ 2 > 9´y [ A 7 XGX 7 A ³T5¤S 687:7 P [ y 687:9¸¡9 [ 689 DGS ·P [&[ X D @ L >"@A > S87K6 û> 9 D @ L > MS87K6Æ7 >qP8·P [ y 687:989 [ 6 3 7 P [ y 687:989 [ 6¸¡

Page 180: Analise Exergia e Produçao Entropia

1/0 n å~åo2qSrßtsÇÞ[q S X 7KS 687:989 687:9 7K687 H ³ > 6 + . ³ > 6 >"@AÚ/2 ³ > 6 + 687:9 7 P SEDGb7 X 5 3 4MS87K67 >qP8ÕP [ y¡ 687:989 [ 6 + S 7 û [ > 9 P [T[ X 7 A S [ 0/2 0 Z >"@A 9 [ y±7 P [ @A 7 @ 9w7 A > S87K6 > 9 û> 9 7 A[ ù<3 4MS87K6S 7¥S DG6 AP [ y 687:989 [ 6 + S 7Æ9ESE687 > y P [ @ S > D @ D @ L Z ¼

2 > 9 P [T[ X 7 A S [ X Dx¾¡ D A 9ES > S87 >"@A· y 7 A S [ >( 687:989 687 [ M 0/2/2 ³ > 6 3 Dx9 X Dx¾ D A Dx9 A Dx9 [ 987 A D @V>A 7 ~X 7KS87 A L > 9Ø687:987K6Eb [ DG6 3\ 7¤M [ XGX [ D @ L P8g> 6 >qP S87K6EDx9ESED P 9 7K687 > 989 y±7 A M [ 6ØS 7 A 7N¡~X 7KS87 A 687:9w7K6Eb [ DG6 F>zA 7 S [ M 12/2/2 y + >z 687:989 687 [ M KH . ³ > 6 + >"@A> S87Ky 7K6 > S 687[ M /2 0 Z 3Êz£U^ ¤ G§ N¡¢F£N%N£^1.£ N¡¢F£N ¤£^! 7z³ [q @A> 6E5 P [ @A DGSED [ @ 9 >"~~X Dx7 A S [ <XY>"@ S89|4 >"@A·U c 987:7±4 ~ 7 @A D J 4 d 7K687>"X 9 [± 987 A S [ 7K6¸M [ 6Ey S 7 P1>"XxP XY> SED [ @ 9 [ M ¼ SED [ @ 9 Z >"@A ® 3 7K657 > 6 + / . A> 5&9 7K687 P [ @ 9ED A 7K687 A> 9 [ 7K6 > SED [ @ SEDGy±7\M [ 6S 7 [ 7K6 ~XY>"@ S89 >"@A±¼ SED [ @ ® +" D X 7\M [ 6¼ SED [ @ Z [ @~X 5 2zA> 5&9 c¸10 [q 689 7K6 A> 5 d 7K687 987 AR> 9WS 7 >qP SEDGb7 ~ [ S [ 985 @ ¡S 7:9EDx9 7K6ED [ A M [ 6S 7ØyzD P 6 [ >"X L > 7 P X SEDGb > SED [ @ @A 7K6 [q S A [T[ 6 P [ @A DGSED [ @ 9 + ³-7KS 7:7 @4 6ED X>"@A Q&7 S87Ky³-7K6 3Ö 7 X [ P1> SED [ @ [ MS 7 [ 7K6 ~XY>"@ S89 > 9 P8 [ 987 @ D @ 9 [q S 7K6 @ [ 6 > 5 cO/2 o XY> SEDGS A 7 dN3 4SÆS Dx9 X [ P1> SED [ @ + >"@Ñ>"@~@ >"X L X [ ³ >"X 9 [ XY> 6Æ6 >qA D > SED [ @ [ @S 7 [ 6EDG½ [ @ S >"X 9 6¸M >qP 7 [ M > ³ [q S , ðq2

/y 2 > 9 > 9w9 y±7 AVc D XxA 7KS >"Xv3´ ,/,/ dN3¼@~X 5 g>"X M [ MS Dx9 > y [q @ S [ M¤6 >qA D > SED [ @èc 6 >"@ L7 A ³-7KS 7:7 @ H2/2Õ>"@Aíðq2/2@ y d Dx9

987 A M [ 6 ~ [ S [ 9E5 @ S 7:9EDx9 3Ú Dx9=6 >qA D > SED [ @ Dx9 P1>"XGX 7 AÑ~ [ S [ 985 @ S 7KSED PR>qP SEDGb76 >qA Dl¡> SED [ @ c 4 ; = 485 kWh/m2 dN3V² 6 [ yõS Dx9 4 ; [ @~X 5 . ¬ [ M¤DGSzDx9 P [ @ b7K6ES87 AD @ÕP8 7KyzD P1>"X 7 J 7K6EL/5 [ M\³~D [ y > 989 cU Dx9ED [ >"@AU Dx98D [ ,/,/ dN3Æ 7 9w7 A S Dx9 L 687S [P1>"XxP XY> S87¥S 7¥9 [ XY> 6¸¡v³ > 987 A 687 @ 7 > ³ X 7|7 J 7K6EL/5D @~ SM [ 6 ¼ SED [ @ Z D @RP [ y³~D @g> SED [ @ DGS <XY>"@ S89\4 >"@AU¤3¬@>qA~A DGSED [ @ +& 7 > 9w9 y±7 A S g> S¨S 76 > SED [|[ MS 77 J 7K6EL/5 û JS [ S 7S [ S >"X 7 @ 7K6EL/5 û J [ M9 [ XY> 6¥6 >qA D > SED [ @ Dx9 23 , Õc 7KS87 XY>Õ , "HTd + >"@A S g> S¤S 77 J 7K6EL/5 P [ @ S87 @ S [ MÖS 7=987 > > S87K6 987 Aê> 9y > 6ED @ 7yzD P 6 [ >"X L > 7L/6 [ D @ L(y±7 A D y Dx9½17K6 [ 3 7 Pw 7KyzD P1>"X 7 J 7K6EL/5 [ MS 7±³~D [ y > 989 > 9 P1>"XxP XY> S87 A 9ED @ LÇS 7=M [ XGX [ D @ L687 XY> SED [ @Cc QT½ > 6EL S7KS >"Xv3 ,// dNF

Echembiomass = (LHV + Lwzw)β +Echem

w zwcU ¡ 0d

7K687 LHV Dx9S 7 X [ 7K6 7 > SED @ L=b >"X 7 c LHV )ð&3 . Bêa / L A 6E5±³~D [ y > 989 d + LwDx9¥S 7 XY> S87 @ S7 @ S g>"XG 5 [ MØ7Kb >" [ 6 > SED [ @ [ M > S87K6 c Lw 03 H/HBÚa

/ L > S87K6 d + zwDx9S 7 > S87K6 P [ @ S87 @ S [ MW³~D [ y > 989 + β Dx9S 7 P [ 6E687 P SED [ @ P [ 7 ÓP Dx7 @ S cζ 23 , 0 M [ 69ESE687 > y±9 DGS Õ> , 2 S 3­¬A 6E5T¡v³~D [ y > 989 P [ y [ 9EDGSED [ @þc QT½ > 6EL S|7KS >"Xv3< ,// dEd + >"@A

Echemw

Dx9ÆS 7±9 7 P D gP±P8 7KyzD P1>"X 7 J 7K6EL/5 [ M X Dx¾ D A > S87K6 c Echemw

23 2 . Bêa / L dN3ë 9ED @ L I ¾ 3WcU ¡ 0d +< 7 P1>"XxP XY> S87 A S g> SS 7(9 7 P D gPPw 7KyzD P1>"X 7 J 7K6EL/5 [ M³~D [ y > 989 DGS ê> , 2 S 3­¬ A 6E5y > SES87K6Dx9 13 zBÚa

/ L 3

?> ³ X 7 U L/DGb7:9S 7 P8 7KyzD P1>"X´>"@A S [ S >"X 7 J 7K6EL/5 [ M?7 >qPw 9ES87 > y D @¼ SED [ @ Z 7 @DGSØDx9 P [ y|³~D @ 7 A DGS ê<XY>"@ S4 [ 6 U¤3~> ³ X 7:9 U\H>"@ARU . L/DGb7¥S 7¥³ >"XY>"@P 7:9ØM [ 6WS 7

Page 181: Analise Exergia e Produçao Entropia

n å~åpo2qSrßtsÇÞ 1/S [ S >"X¨>"@A·P1> 6E³ [ @ y > 989 + >"@A S 7z7 J 7K6EL/5ê³ >"XY>"@P 7:9ÆM [ 6 ¼ SED [ @ Z 7 @<XY>"@ S=4>"@AÑU + 687:9 7 P SEDGb7 X 5 + Dx9 P [ y|³~D @ 7 A3ê 77 J 7K6EL/5 @ 7:7 A 9|S [ 9 ~ [ 6ES >"XGX¨ 6 [ P 7:98987:9D @Ú¼ SED [ @ Z > 6879 9ES > D @ 7 A ³T5ÇS 7 [ 7K6 ~XY>"@ S89D @ ¾ 7:9ESED [ @3\ 7 > 9w9 y±7 A S g> SS 7R7 J 7K6EL/Dx7:99 ³~SE6 >qP S87 A M6 [ y [ 7K6 ~XY> S89 > 687D @ S 7(M [ 6Ey [ M¥7 X 7 P SE6ED Pê [ 7K6 3?> ³ X 7 UW L/DGb7:9S 7Ú7 J 7K6EL/5 > y [q @ S89(S g> S > 687 @ 7:7 A 7 A M [ 6 Z ¼

2> ³ > S87Ky±7 @ S(D @

<XY>"@ S894 >"@ARU¤3

ºrNjxo=*ÊËWó\tEk1hwoNwÆKtEoEr/pr/vrÚövNt8oErq _gT8oNtn§¨±r"nEJWkq© t¸r!oö!ø)§±kqjxoEhK&jlr/t|©oN]Gu"ªTöOéä=ø*§<zrqw|h8kqmk"N]]Okq_ öh

iønøØsKkqtzÃm-]Okq_ ÈC©ªoN_ó\jGrq_gÄ

]`¥1oEpËWÌk/t¥Nt8oErq _T8oKtw§¨t8oErpToNtwrqtEot8os1oNtNtEoEp(vkz̨]GuËU*ÊË [ y B P

ic S 3­¬zdc L ; 9 d c L

/ y [ X`d Z ¼

2Z ¶

2¼ ¼

2

2Q [ X D A

. 2 H 3 H3 , ,/, 3 , 23 2. H / 3 2 0 3 , 23 2/ /3 . ð 0/23 ð/ð&3 . 0 0 . H3 H 0/23 , 23 2 123 2. 0 3 0 1 , 3 2 123 2 , 23 2. H , 3eð 0/3 . 23 2 . 23 2./. 0/0/3 0 , 3 ,/, 3 , 23G. 3 . ./, 3 , ðq23 . 0 , 3 .. ð , 3 H23 . ,/. 3 . H3 ../ , 3 )ð&3G 123 2 , 23 2

ºrNjxo=*ØÍ&ËWó\tEk1hwoNwÆKtEoEr/pr/vrÚövNt8oErq _gT8oNtn§¨±r"nEJWkq© t¸r!oö!ø)§zk/jGoEh:TjGrqt|©oK]lu"ª&övéä=ø)§<±r"w|h8k/m~k"n]]k/_Cö­h

iøwøWsKk/tzôm^]kq_ È ©ª~oN_ó\jlr/_gG*

]`¥1oEpËWÌk/t¥Nt8oErq _T8oKtw§¨t8oErpToNtwrqtEot8os1oNtNtEoEp(vkz̨]GuËU*ÊË [ y B P

ic S 3­¬zdc L ; 9 d c L

/ y [ X`d Z ¼

2Z ¶

2¼ ¼

2

2Q [ X D A

. 2 . 23 . H3 , ,/, 3 , 23 2. . 2 . 3 2 0 3 , 23 2/ /3 . ð 0/23 ð/ð&3 . 0 0//3 0 0/23 , 23 2 123 2. 0 , 3G 1 , 3 2 123 2 , 23 2. H 0/23 H 0/3 . 23 2 . 23 2./. 0/"H3G , 3 ,/, 3 , 23G. 3 ./, 3 , ðq23 . 0 , 3 .. ð 123 0 H23 . ,/. 3 . H3 ../ 123 0 )ð&3G 123 2 , 23 2

Page 182: Analise Exergia e Produçao Entropia

1"H n å~åo2qSrßtsÇÞºgrTNjGoC*!TË f<¦ oNtOuqiRpr/vrs:kqt\mtEk1hwonn|Nt8oErq=övNt8oErq _gT8oNtn§¨±r"nEJWkq©ít¸r/!oö!ø!m~oEhK] /hzhNªoK=]Oh8rqjo ¦ oNtOuqiÕö f chem ørq_pvk/vrqj?o ¦ oNtOuqiÚö Etot ønøs:kqtzÃm-]Okq_ È©ªoN_Ró\jlr/_g?Ä rq_-p=ó\jGrq_gE* rqt8o|1oEpËØÌ´kqt¤Nt8oErq _T8oKtw§¨t8oErpToNtwzrqt8oÆt8os1oNtNtEoEp

vkÌÖ]GuËU*ÊË [ <XY>"@ S4 <XY>"@ S U

y I chem I tot y I chem I totc L/9 d cBÚa

/ L d cB d c L

/9 d cBÚa

/ L d cB d

. 2 H 3 0/03 H . 0/03 H . 23 . 0/03eð 0/03eð. H / 3 2 23 2/2 23 2 . 2 . 3 2 23 2 23 2. 0 0 . H3 H /3 , 2 H 3 H 0//3 0 /3 , . 2/23 0. 0 3 0 13 H ./, 3 0 , 3G 13 HTð . 3 . H , 3eð 0/3 H H/3 2 0/23 H 0/3 H HTð/ð&3 H./. 0/0/3 0 23G 0/03 0/"H3G 23G 0/03 .. 3 . 23 2/0 23G)ð 3 23 2/0 23G . ð , 3 03 0/03 . 123 0 03 0/3 ./ , 3 , H3eð H . 3 123 0 H3eð HTðq3 H

Page 183: Analise Exergia e Produçao Entropia

n å~åpo2qSrßtsÇÞ 1 .ºgrTNjGoC*¨ÉËWîn_qmö!]`_øzrq_-pkqüm¤ökqøzzrqwpJk/©þtEr/!oövø)§¨h8r/t:Ek/_ÕzrqwpJk/©tEr/!oöv "/ø*§Ör/_pÇo ¦ oNtOuqiö f øWs:kqtó\jGrq_g<Ä ]_Õh8kqN]_r/]Okq_ê©<]ªÃ´m^]kq_ ÈÖË^Ìkqt

K!oErq _&8oNtn§¨t8oErpoNtrqt8o¥t8os1oNtnt8oEpÇvk̨]luTË*ÊË f<¦ oNtu/ijGk"w±ö f lossø]`Æh8rqjGhKTjGr/!oEp

r" f inÀ f out

Ë«Ù ]`¤niq_gªo:]hur"1Ë 6 [ P 7:989 ; 9ESE687 > y y

iny$#

,inI

iny

outy$#

,outI

outI

loss%'&2 (*),+.-0/+21+.354Z ¼2c . 2d H 3 103 0 0/3

4DG6 c . )d H / 3 2 23 2/ 23 2Z ¼

2 6 > DG6 . /3 103 0 13 [ S >"X . /3 103 0 0/3 . /3 103 0 13 3 798 45):;4<->=,?A@CBZ ¼

2 6 > DG6 . /3 103 0 13 Q&7 > > S87K6 H/H , 3 H . 3 2IJg> 9ESWL > 987:9 123 2 /3 2 , 3 HQ @~X DGL S ðq/3 U D [ y > 989 c . 0d 0 . H3 H 103 H2 H /, 3 H4DG6 H / 3 2 23 2/ 23 2Q&7 > > S87K6 H013 23 2IJg> 9ESWL > 987:9 123 2 /3 2 03 2 [ S >"X . ðq/3 0 13G)ð ð , 03 . ðq/3 0 13G)ð H , /3 H /2/3 0D :E(F?G)<@H:I-J+.354U D [ y > 989 c . 0d 0 . H3 H 103 H H /, 3 HI<X 7 P SE6ED P ¡ [ 7K6 H03 U D [ y > 989 c . d 0 3 0 103 2 H / 3 2² 7K6ESED X Dx987K6 c ./. d 0/0/3 0 23 H 23 0 [ S >"X 0 . H3 H 103 H . /3eð 0 . H3 H 103 H H / 3 0 H3 .D +24:EKJ@L+M=<3U D [ y > 989 c . d 0 3 0 103 2 H / 3 2QTS87 > y KHTð&3 "H3 2I<X 7 P SE6ED P ¡ [ 7K6 3eðU D [ L > 9 c . HTd , 3eð , 3G H/03 2² 7K6ESED X Dx987K6 c . d 3 . 03 , 0/03 Z\[ @A 7 @ 9 > S87 KHTð&3 "H3 H [ S >"X )ðq3 2 103 2 . 0 . 3eð )ðq3 2 103 2 . , 3 0 3 .NOQP ->=SRT:EK>KJ+.3U4U D [ L > 9 c . HTd , 3eð , 3G H/03 2I<X 7 P SE6ED P ¡ [ 7K6 0/23 2Z ¼

2c . ð/d , 3 03G H3 H

Q Ò c ./ d , 3 , ð&3 2 H . 3 [ S >"X , 3eð , 3G H 03 2 , 3eð , 3G H/3 2 0/3 2

Page 184: Analise Exergia e Produçao Entropia

1/ n å~åo2qSrßtsÇÞºgrTNjGoC*5mËWîn_qmö!]`_ø±r/_pk/&ümökqø±±r"wpJWkq©þtEr/!oövø)§hwrqt:8kq_Õ±r"wpJWkq©t¸r!oö! "/ø)§rq_p(o ¦ oKtuqiö f øØsKkqtójlrq_G*è]_Úh8k/±K]`_r]kq_©<]ªÚÃm-]Okq_ ÈÖË^Ìkqt

K!oErq _&8oNtn§¨t8oErpoNtrqt8oÆt8os1oNtNtEoEp(vk̨]luTËU*ÊË f<¦ oNtu/ijGk"wzö f lossøz]YÆh8rqjGhK&jlr/!o8p

r" f inÀ f out

ËØ«Ù ]Y¤niq_gª~oK]hur"1Ë 6 [ P 7:989 ; 9ESE687 > y y

iny$#

,inI

iny

outy$#

,outI

outI

loss%'&2 (*),+.-V/W+21+.354Z ¼2c . 2d . 23 . 13 0"H3 H

4DG6 c . )d . 2 . 3 2 23G 23 2Z ¼

2 6 > DG6 ././. 3 . 13eð )ð&3 H [ S >"X ././. 3 . 13eð 0"H3 H ././. 3 . 13eð )ð&3 H ð&3 2798 45):;4<->=,?A@CBZ ¼

2 6 > DG6 ././. 3 . 13eð )ð&3 H> 6Ey 987 > > S87K6 H 0 . 3 2 H3GIJg> 9ESØL > 987:9 /, 23 2 /3G 3 ,Q @~X DGL S 2 3 HU D [ y > 989 c . 0d 0 23 2 13eð . 13 .4DG6 . 2 . 3 2 23 2 23 2Q&7 > > S87K6 H ./,/. 3 . 23 2IJg> 9ESØL > 987:9 /, 23 2 /3G 03 2 [ S >"X /0ðq23 . KH3 /3 /0ðq23 . KH3 . 3 . . 3 D :E(F?G)<@H:I-J+.354U D [ y > 989 c . 0d 0 23 2 13eð . 13 .I<X 7 P SE6ED P ¡ [ 7K6 H , 3 0U D [ y > 989 c . d 0 , 3eð 13 . . 0/23 0² 7K6ESED X Dx987K6 c ./. d 0 . 23 23 0 23 . [ S >"X 0 23 2 13eð . . 3eð 0 23 2 13eð . 0/23eð H . 3 2D +24:EKJ@L+M=<3U D [ y > 989 c . d 0 , 3eð 13 . . 0/23 2QTS87 > y . 03 , H . 3 2I<X 7 P SE6ED P ¡ [ 7K6 3 0U D [ L > 9 c . HTd 0/03G 123 . H / 3 2² 7K6ESED X Dx987K6 c . d ð&3 3 2 /23 2Z\[ @A 7 @ 9 > S87 . 03 , H3 2 [ S >"X 03 13 . . ð&/3 0 03 13 . . "H3 2 ð&3 0NOXP -Y=SRT:EKTKT+.3U4U D [ L > 9 c . HTd 0/03G 123 . H / 3 2I<X 7 P SE6ED P ¡ [ 7K6 0/3 2Z ¼

2c . ð/d 103 2 3 . 3 0Q Ò c ./ d 123G ð&3 0 HTðq3 H

[ S >"X 0/03G 123 . . 2 , 3 2 0/03G 123 . H /3 0ð&3 H

Page 185: Analise Exergia e Produçao Entropia

n å~åpo2qSrßtsÇÞ 1ðºgrTNjGoC*=RË f<¦ oKtuqi_-o8o8p"öv]_Ré¥=øs:kqt|r8r/!oNoN_gWk¸sÈ\Ã

2sNt¸k/ ó\jGrq_gÄ öÄ\ø

rq_pó\jGrq_gp* öF*<ø±]`_ÚªoN]th8kqN]_r/]Okq_Ú©<]ªÃm-]k/_CÈ öÄ[ZÆÈírq_p*\ZÆȧt8on!m~oEh:]"oNjiNø(rq_pÃm-]Okq_ÇôöÄ[Z¨ô rq_-p*]Z¨ô¤§¨t8on!m~oEh:]"oNjiNø/Ë 6 [ P 7:989 4 6 Z U 6 Z 4 6 ® U 6 ®Z ¼

2S [ ³~D [ y > 989 P [ @ b7K689ED [ @ H03 H , 3 2 ¡ ¡

U D [ y > 989 A DGL7:9ESED [ @ 3eð 3 0 ¡ ¡U D [ L > 9 6 [ P 7:989ED @ L 0/23 2 0/23 2 ¡ ¡Z ¼

2987:¾ 7:9ESE6 > SED [ @ ¡ ¡ 3 1/03 [ S >"X /3 2 ð . 3 0 3 1/03

Page 186: Analise Exergia e Produçao Entropia

1 n å~åo2qSrßts ^ujvwvTxyzw|W_ p<Ex:Dzx"<|v?|^yYp|ya`^xy^?O z?Uyz U:"wävO|Nyd+ bExyS<|^dcC0e Uyzgf Dx9 >"~ 7 @A D JP [ @ S > D @ 9S DG6ES87:7 @ 987 P SED [ @ 9 c Z ¡ Z 1dih D PwA 7:9 P 6EDG³^7ØS 7 P [ y [ ¡@ 7 @ S89 [ M¨S 7985&9ES87KyD @ Q P 7 @g> 6ED [ 9 $ h >"@A¶3 Z g>" S87K6 H L/DGb7:9S 7 A 7:9 P 6ED SED [ @[ MS 7(9E59ES87Ky >"@A DGS9 7 P D 7:9 D P8 6 [ P 7:9899ES87 9 > 687 g> 6ES [ MS 7(9E59ES87Ky÷D @ D Pw 9 P 7 @g> 6ED [ 3| 7D @ b7 @ S [ 6E5 A> S > [ @ y > 989 >"@A 7 J 7K6EL/5³ > 987:9 > 687 >"X 9 [ L/DGb7 @M [ 67Kb7K6E5 P [ y [ @ 7 @ S¤D @ S 7 @g> 6E6 [ >"@A D A 79E59ES87Ky ³ [q @A> 6EDx7:9 c 987:7 Z g>" S87K6HTdN3Ö 7|7:¾ > SED [ @ 9 9w7 A M [ 6Ø7 J 7K6EL/5 P1>"XxP XY> SED [ @Ú> 687 687:987 @ S87 A3 7ÖM [ XGX [ D @ L >"~ 7 @A D P 7:9 P [ 6E687:9 [ @A S [ S 7M [ XGX [ D @ L P [ y [ @ 7 @ S89 [ M~S 7Ö985&9ES87KyD @ Q P 7 @g> 6ED [ 9 $ h >"@AR¶=F

/3 4 ~ 7 @A D J Z M [ 6WS 7 [T[ A 5 > 6 Ac d «

03 4 ~ 7 @A D P 7:9 Z 0 ¡ Z M [ 6WS 7¥S 7K6Ey [ ¡vy±7 Pwg>"@ D P1>"X? XG D @ L ~XY>"@ S cWBÚd «

3 4 ~ 7 @A D P 7:9 Z H ¡ Z . M [ 6WS 7 g>" 7K6Øy > D @ L ~XY>"@ S c¨Bêd «

H3 4 ~ 7 @A D J Z M [ 6WS 7 A 7N¡vD @ D @ L ~XY>"@ S c ® ¬\d «

. 3 4 ~ 7 @A D P 7:9 Z ð ¡ Zkj M [ 6<S 7³ [ D X 7K6 [q 9w7 ~XY>"@ S cU\¶d<>"@A S 7 @g> S 6 >"X L > 9¸¡ 687 ARP [ y|³~D @ 7 AÚP 5 PKX 7 [ 7K6 ~XY>"@ S c Ò Öd «

3 4 ~ 7 @A D J Z 12 M [ 6ØS 7 > 9ES87 > S87K6SE687 > SEy±7 @ S ~XY>"@ S cíÅWd «

ð&3 4 ~ 7 @A D J Z / M [ 6ØS 7 > 9ES87 g>" 7K6SE687 > SEy±7 @ S ~XY>"@ S c ÖW\d «

3 4 ~ 7 @A D J Z 10 M [ 6ØS 7¤y @ D P D g>"X > 9ES87¥D @P D @ 7K6 > SED [ @ê~XY>"@ S cBê ¬­d «

j 3 4 ~ 7 @A D J Z 1 M [ 6ØS 7¤SE6 >"@ 9 [ 6ES > SED [ @ê@ 7KS [ 6 cdN3

¬@ S 7M [ XGX [ D @ L h S 7¥7:¾ > SED [ @ 9\M [ 67 J 7K6EL/5 P1>"XxP XY> SED [ @ [ M > S87K6¸¡ >"@A [&[ A ¡vS!5 79ESE687 > y±9 > 687 687:987 @ S87 A3

Page 187: Analise Exergia e Produçao Entropia

n å~åpo2qSrßts ^ 1 j² [ 6<S 7 > S87K6¸¡vS!5 79ESE687 > y±9 c M687:9 > S87K6 h DG687 > S87K6 h 6 [ P 7:989 > S87K6 >"@A > 9ES87 ¡> S87K6 dih DGS => S87Ky 7K6 > S 687 A D ù 7K687 @ SS g>"@ S 7 > b7K6 > L7 >"@~@ >"X 7 @ b&DG6 [ @ y±7 @ S >"X S87Ky¡ 7K6 > S 687 cO> 989 y±7 A D @ S Dx9W9ES A 5S [ ³^7

T0

è0 /. dih S 7¤7 J 7K6EL/5 P [ @ S87 @ S A 7S [S 7 7 > S > 9 P1>"XxP XY> S87 AÚ> 9

Ethermalwater = Q(1 − T

0

T − T0

ln(T

T0

))c Z ¡ )d

7K687Q = mcp(T − T

0)

c Z ¡ 0d¶ 7K687 h

QDx9S 7WS 7K6Ey >"X 7 @ 7K6EL/5 û [ [ M > S87K6 ; > 9ES87 > S87K6 c D @ dih

mDx9S 7Wy > 989

û [ 6 > S87 [ M > S87K6 ; > 98S87 > S87K6 c D @ L / 9 dih~>"@A cp Dx9S 7¤9 7 P D gP 7 > S P1>"g>qP DGS!5 [ M > S87K6 ; > 9ES87 > S87K6 c D @Ra / L dN3² [ 6<S 7 [T[ A ¡vS!5 7y > S87K6ED >"X 9 h DGS > y > 989<6 > SED [ 03 ðl O

C

lþ23 /ðmh S 7 Pw 7KyzD P1>"X7 J 7K6EL/5 > 9 P1>"XxP XY> S87 A ³T5 c [ S > 9 j /. d

Echemwood−type materials = LHVwoodψ +WLψ [kJ/kg wood]

c Z ¡ d

7K687 W Dx9S 7Æy > 989ØM6 >qP SED [ @ [ My [ Dx98S 687|D @ S 7 [&[ A ¡vS5 7Æy > S87K6ED >"X<>"@A L Dx9S 77 @ S g>"XG 5 [ M\7Kb >" [ 6 > SED [ @ [ M > S87K6 > S¥S 79ES >"@A> 6 A S87Ky 7K6 > S 687 c T

0

0 j dN3 7 P [ 7 ÓP Dx7 @ S

ψDx9 P1>"XxP XY> S87 A ³5 c [ S > 9 j /. dNF

ψ =1.0438 + 0.1882H

C − 0.2509(1 + 0.7256HC ) + 0.0383N

C

1 − 0.3035OC

[−]c Z ¡ HTd

7K687 H/C Dx9ÖS 7 > S [ yzD P 6 > SED [ ³-7KS 7:7 @ S 7 5 A 6 [ L7 @Ç>"@AP1> 6E³ [ @ D @ S 7 [T[ A ¡S5 7y > S87K6ED >"XnhN/C

Dx9S 7 > S [ yzD P 6 > SED [ ³^7KS 7:7 @ S 7 @ DGSE6 [ L7 @ò>"@ACP1> 6E³ [ @ D @S 7 [&[ A ¡vS!5 7y > S87K6ED >"Xnhg>"@A O/C Dx9S 7 > S [ yzD P 6 > SED [ ³-7KS 7:7 @ S 7 [ J 5&L7 @>"@AP1> 6E³ [ @ D @ S 7 [T[ A ¡vS!5 7y > S87K6ED >"Xv3<U 7 P1> 987 [ M XY>qP [ M9 ÓP Dx7 @ S A> S >oh S 77 ù 7 P S[ MØ9 XG~ 6 > 9 @ [ S|S > 7 @ D @ S [ >qP:P [q @ S=D @I ¾ 3c Z ¡ HTdN3 4 X 9 [ h S 77 J 7K6EL/5 [ MWS 7> 9 RP [ @ S > D @ 7 A D @ S 7M 7 X > 9 @ 7KL X 7 P S87 A3±ïX^QpUUa¤ :rq>sut 7 [&[ A 5 > 6 A c d> S [ 689 7Q [ L¯°9(yzD XGX 687 P 7KDGb7:9 >"@A 9ES [ 687:9S 7Ú9 [ MS [&[ Ac [ 6 7KL/D >"@ 9 6 P 7 h&ó\]OhwoErzrK]Oon*dih ³ > 6 >"@A [T[ AzP8 D 9¨S g> S > 687 6 P8g> 987 A M6 [ yS 7M [ 687:98SE6E5 3ê 7 X [ L9 > 687 g> 6ESED >"XGX 5 A 7K³ > 6 7 A > S=S 7 [T[ A 5 > 6 A >"@Ag> 6ESED >"XGX 5> SØS 7ÆS 7K6Ey [ ¡vy±7 P8g>"@ D P1>"X XG D @ L ~XY>"@ S ¬¤cWBê ¬¸dN3~ 7|³ > 6 Ç[ ³~S > D @ 7 Aê> SØS 7 [T[ A 5 > 6 AÑ>"@A S g> S 6 Pwg> 987 A M6 [ y S 7M [ 687:9ESE6E5 > 687987 @ SS [ S 7±³ [ D X 7K6 [q 987

Page 188: Analise Exergia e Produçao Entropia

)ðq2 nkvwv o2qSrßts ^~XY>"@ S cU¶\dN3¨ 7 > y [q @ S [ MÆ7 X 7 P SE6ED P DGS!5 >"@A S 7K6Ey >"X 7 @ 7K6EL/5 @ 7:7 A 7 A M [ 6zS 7 6 [ P 7:98987:9D @ S 7 [&[ A 5 > 6 AÅ> 687 [ ³~S > D @ 7 A M6 [ y @g> S 6 >"X L > 9¸¡ 687 A [ 7K6 ~XY>"@ Sc Ò ÖdÆ>"@A ³ [ D X 7K6 [q 9w7 ~XY>"@ S cUdih 687:9 7 P SEDGb7 X 5 3 4 9EDGL @ D gP1>"@ S > y [q @ S [ MM687:9 > S87K6 7K6S [ @~@ 7 [ M g>" 7K6 6 [ A P 7 A Dx9687:¾ DG687 A D @ S 7 [&[ A 5 > 6 A3 77ix 7 @ S [ M > 9ES87 > S87K6 P [ @ S > D @ 9 [ 6EL >"@ D P y > SES87K6 cUؼ ® >"@A Z ¼ ® dih-~ [ 9 ~ [ 6 9c

td>"@AÇ@ DGSE6 [ L7 @ c

tdN3 [ A> S > > 9 [ 9w9EDG³ X 7¥S [[ ³~S > D @ M [ 6S 7|7KyzDx989ED [ @ 9D @ S [

> S87K6 A 7S [ S 7 [&[ A 5 > 6 AÇ>"X [ @ 7 3< 7:987¤7KyzDx9898D [ @ 9 > 687M [q @A D @ S 7D @~ S û [ 9ESE687 > y [ M > 9ES87 > S87K6 [ M?S 7 > 9ES87 > S87K6SE687 > SEy±7 @ S ~XY>"@ S c 987:7 > ³ X 7 Z 12dN3?> ³ X 7 Z L/DGb7:9¤S 7D @ b7 @ S [ 6E5 A> S > [ MS 7 [&[ A 5 > 6 A D @ Q P 7 @g> 6ED [ 9 $ h >"@AÕ¶hM [ 6WS 7 @g> 6E6 [ >"@A D A 7Æ9E59ES87Ky ³ [q @A> 6EDx7:9 3

Page 189: Analise Exergia e Produçao Entropia

nkvwv o2qSrßts ^ )ð&

Page 190: Analise Exergia e Produçao Entropia

)ðq0 nkvwv o2qSrßts ^=¢oy,£N>¡N<"§ zy§ <UN¤£NFO¤ªP 'NªF EF£a© Eª)¤£¡qJ| [t 7S 7K6Ey [ ¡vy±7 P8g>"@ D P1>"X XG D @ L ~XY>"@ S cWBê\d¨> S [ 689 7¤Q [ L¯°9¨yzD XGX^P [ @ 9EDx9ES89 [ MS [ [&[ A XG D @ LM >qP D X DGSEDx7:9 h S87K6Ey±7 AÑWBÚè¬Æ>"@AWBÚ ¬8¬N3 7±M [ XGX [ D @ L 6 [ ¡P 7:989w7:9 > 687 P1> 6E6EDx7 A [q S 7K687 F [&[ AÇg>"@AX D @ LS 6 [q L ÚA 7K³ > 6 D @ L hP8 D 9 > 9 D @ L hA 7 > S87K6ED @ L h´ 687 7 > SED @ L h>"@A 687 @ D @ L h 9 P 687:7 @ D @ L >"@A S D P 7 @ D @ L 3± 7 > 9 D @ L>"@A 9 P 687:7 @ D @ L 6 [ P 7:989w7:9 > 6879 ³ µ 7 P SS [ > S 7K6Ey >"X 687KSE687 > SEy±7 @ S h D X 7S 7 A Dx9¸¡D @ S87KL/6 > SED [ @>"@AÚA 7 ³~6 > SED [ @ 6 [ P 7:98987:9 > 687 P1> 6E6EDx7 A D @Õ> 987K6EDx7:9 [ M A Dx9 P 687 @ 7K689 > S[ b7K6 687:989 687 3 4ØMS87K6 P8 D ~ D @ L >"@A > 9 D @ L h S 7¥6 > y > S87K6ED >"X Dx9 687 7 > S87 A DGS 9ES87 > y >"@A S 7 @ 687 @ 7 A D @ > S [ ¡!9ES87 687 @ D @ L9E5&98S87Ky D @ D P8 S 7 6898S=9ES87 Dx9 P1> 6E6EDx7 A [q S > S > SEy [ 9 ~ 7K6ED P 687:9w9 687 D X 7S 7987 P [ @A 9ES87 Dx9 P1> 6E6EDx7 A [q S > S> 687:989 687 [ M H3~ ³ > 6 3> 6ES [ MS 7 [ 6EL >"@ D P y > SES87K689 [ MÖS 7 [T[ A Dx9 A Dx989 [ X b7 A D @ > S87K6 >"@AêA Dx9 P1> 6 A 7 A D @ S 7 6 [ P 7:989 > S87K6 A [ @ 9ESE687 > yS 7ÆS 7K6Ey [ ¡vy±7 Pwg>"@ D P1>"X XG D @ L ~XY>"@ S 34 XY> 6EL79 g> 687 c 2O¬ h D @ S87K6Ey [ MØS 7 7 > SED @ LÚb >"X 7 d [ MØS 77 X 7 P SE6ED P DGS!5Ñ687:¾ DG687 AD @ 687 @ 7K689Dx9 P [ @ b7K6ES87 A D @ S [ 7 > SD @ M [ 6Ey [ M X [ ¡ 687:9w9 687|9ES87 > y 3¨ Dx9Ø9ES87 > y Dx9[ ³~S > D @ 7 A M6 [ y S 7 [&[ A y [ Dx9ES 687 >"@ARA D X SED [ @ > S87K6D @ S 7¥687 @ 7K689 3\ 7K6Ey >"X7 @ 7K6EL/5zy > 5z³-7687 P [ b7K687 A(> 9¨9ES87 > y D @ S 7Ø687 @ 7K689³^7 P1> 987 [ MS 7 687:9w9 687 AP [ @ ¡A DGSED [ @ 9 @A 7K6ES > 7 @ 7K687 3Ö Dx9Ø9ES87 > y h> MS87K6WDx9 PKX 7 >"@ 7 A S 6 [q L R 7 > SØ7 J~P8g>"@ L7K6 hDx9 9w7 A> 9 6 [ P 7:989Ø9ES87 > y M [ 6 g>" 7K6 A 6E5TD @ L 3 4ØMS87K6W687 @ D @ L h S 7 XG Dx9Ø9 P 687:7 @ 7 A>"@ARPKX 7 >"@ 7 A S 6 [q L > S87K6ED @ L >"@ARA 7 > S87K6ED @ L 6 [ P 7:9w987:9 3?> ³ X 7:9 Zk >"@A Z 687:987 @ S<S 7\D @ b7 @ S [ 6E5 A> S > [ MS 7S 7K6Ey [ ¡vy±7 Pwg>"@ D P1>"Xg XG D @ L~XY>"@ S WBê¬?>"@AzWBÚ·¬8¬ih 687:9 7 P SEDGb7 X 5 h D @ Q P 7 @g> 6ED [ 9 $ h >"@A¶h M [ 6<S 7 @g> 6E6 [ >"@A D A 7|9E5&98S87Ky ³ [q @A> 6EDx7:9 3

Page 191: Analise Exergia e Produçao Entropia

nkvwv o2qSrßts ^ )ðq

Page 192: Analise Exergia e Produçao Entropia

)ð*H nkvwv o2qSrßts ^

Page 193: Analise Exergia e Produçao Entropia

nkvwv o2qSrßts ^ )ðU|Âzy,N1 G¤ <l§ ¤w.£a GªF¤£¡Qq+]|~[t 7 g>" 7K6Øy > D @ L ~XY>"@ S c¨Bêd> S [ 689 7Q [ L¯°9yzD XGXP [ @ 98Dx9ES89 [ MÖS 687:7 g>" 7K6A 6E5&D @ L¤y >qP8 D @ 7:9 h S87K6Ey±7 AzÖBVhÖB >"@AzÖBÚ3 7M [ XGX [ D @ L 6 [ P 7:989 @ DGS89 > 687g> 6ES [ M¨S 7 g>" 7K6¤y >qP8 D @ 7:9 F> 9ES [ P 687 g> 6 > SED [ @ @ DGS h>± 7 >qA ³ [ JVc 7K687=S 79 9 7 @ 9ED [ @ [ M ³~687:9ÖDx9D @ SE6 [ A P 7 A S [ S 7 DG687 >"@A M [ 6Ey±9 > @ DlM [ 6Ey A Dx9 7K6898D [ @ [ M ³~687:9 >qP 6 [ 9w9S 7¤S [ S >"X D A S [ M?S 7 DG687¤³^7 X S dihg> DG687Æ987 P SED [ @c 7K687ÆS 7 > S87K6M6 [ y S 7 g>" 7K6 7K³VDx9 A 6 > D @ 7 A S [ > 6 [q @A / ¬ y [ Dx9ES 687 P [ @ S87 @ S dih¨>R 687:989 687987 P SED [ @c 7K687WS 7 > S87K6 [ MS 7 g>" 7K6 7K³Dx9<687Ky [ b7 A ³T5 687:9w9ED @ L A [ @ S [ > ³ [q SHO¬zdih~>=A 6E5TD @ L987 P SED [ @·c 7K687¤S 7 g>" 7K69 7:7KSy [ Dx9ES 687Dx9\687Ky [ b7 A ³T5 7 > SED @ LS 7 7K³ DGS RA 6E5&D @ L P 5 X D @A 7K689 dihg> 687:7 X 7K6 c 7K687¥S 7 g>" 7K6Ø9 7:7KSDx9W6 [ XGX 7 AgdN3 7 g>" 7K6 A 6E5&D @ L 6 [ P 7:9w9Dx9 P1> 6E6EDx7 A [q S 9ED @ Lz9ES87 > y 7 > S87 AÇP 5 X D @A 7K689W7 @PKX [ 987 AD @ò>PKX [ 987 AC [&[ A3Ѭ!@ S 7 A 6E5&D @ L·987 P SED [ @ S 7 g>" 7K6 7K³òDx9 A 6EDx7 A S [ S 7 @g>"XA 6E5 P [ @ S87 @ S [ M j 2 S 3­¬3 4 X y [ 9ES >"XGX S 7±S 7K6Ey >"X 7 @ 7K6EL/5 987 A M [ 6 A 6E5&D @ LR7 @A 9 D @ S 7 [T[ A 7 Jg> 9ES > DG6 3| 7=S87Ky 7K6 > S 687 [ M¨S 77 Jg> 9ES > DG6¥Dx9 0 Z >"@AS 7 yzD A DGS!5Dx9 23GKH L ¶

2¼/ L A 6E5 > DG6 3 4 9Ey >"XGX´g> 6ES c¸1 S 3­¬zd [ MS 7|y [ Dx9¸¡S 687Dx9 A 6EDGb7 @ [ ù S [ S 7 > SEy [ 9 ~ 7K687 3 7687Ky > D @ D @ L g> 6ESDx9 g> 98987 A S 6 [q L >

7 > S687 P [ b7K6E5Ç9E59ES87Ky P [ @ 9EDx9ESED @ L [ M987Kb7K6 >"X 7 > SW7 JPwg>"@ L7K689 3¨ 7 7 > SW687 P [ b7K6E59E59ES87Ky > 9 @ [ SÆS > 7 @ D @ S [ >qP:P [q @ S=D @ S 7 P1>"XxP XY> SED [ @3( 7 > 989 y±7 A S g> S|S 7S 7K6Ey >"X 7 @ 7K6EL/5 [ MS 7 [&[ A 7 Jg> 9ES > DG6<Dx9687 X 7 > 987 A D @ S [ S 7 > SEy [ 9 ~ 7K687 DGS [q S>= 687 X DGyzD @g> 6E5ÇSE687 > SEy±7 @ S DGS S 7K6Ey >"X 7 @ 7K6EL/5(687 P [ b7K6E5 3?> ³ X 7:9 Z H>"@A Z Ç 687:987 @ S|S 7D @ b7 @ S [ 6E5 A> S > [ MWS 7 g>" 7K6|y > D @ L ~XY>"@ S89|D @Q P 7 @g> 6ED [ 9 $ h >"@AR¶h M [ 6WS 7 @g> 6E6 [ >"@A D A 7|9E5&98S87Ky ³ [q @A> 6EDx7:9 3

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)ðq nkvwv o2qSrßts ^

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nkvwv o2qSrßts ^ )ð/ð

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)ð nkvwv o2qSrßts ^ N1Gy.£G.£a© GªF¤£¡QqTÆ[t¬@ S Dx9?9w7 P SED [ @ S 7 A 7N¡vD @ D @ L ~XY>"@ S > S [ 689 7ØQ [ L¯°9yzD XGX Dx9 687:987 @ S87 A3< 7\y > 989>"@A 7 J 7K6EL/5D @~ S ;"[q S SD @ b7 @ S [ 6E5 A> S > [ MS Dx9 ~XY>"@ S > 687¤L/DGb7 @ D @?> ³ X 7 Z 3 7M [ XGX [ D @ L 6 [ P 7:9899ES87 9 > 687 P1> 6E6EDx7 A [q S?D @ S 7 A 7N¡vD @ D @ L ~XY>"@ S F 687N¡ XG D @ L [ M687 P [ b7K687 Ag>" 7K6 c 7K687¨S 7687 P [ b7K687 A=g>" 7K6Dx9 SD @ S [ >"@ 7:¾ D y±7 @ S 6 [ A P D @ L XG S [ L7KS 7K6 DGS [ S > S87K6 >"@Az XG 7 A DGS y±7 P8g>"@ D P1>"X>"@Az 5 A 6 > X D P> L/DGS > ¡SED [ @ 687:9 X SED @ LD @ S [ 987 P [ @A> 6E5 ³~687:9 dih y±7 P8g>"@ D P1>"X 687Ky [ b >"X [ MDGy 6EDGSEDx7:9 c 7K687987 P [ @A> 6E5 ³~687:9 > 687|9w7 g> 6 > S87 A M6 [ y DGy 6EDGSEDx7:9D @ 9 P 687:7 @ ¡vS5 7=7:¾ D y±7 @ S DGS A D ù 7K687 @ S A DGy±7 @ 9ED [ @ 9 [ M9 P 687:7 @ [ 7 @ D @ L >"@A b > 6ED [q 9S!5 7:9 [ M 5 A 6 [ ¡ P 5 PKX [ @ 7:9 dih D @ 687Ky [ b >"X ³T5 û [ S > SED [ @c 7K687WD @ DGS87Ky±9 > 687 A Dx9 7K68987 A ³5|y±7 >"@ 9 [ M P8 7KyzD P1>"X 9¨9 P8> 9 5 A 6 [ L7 @ 7K6 [ J D A 7 h 9 [ A D y 5 A 6 [ J D A 7 >"@A 9 [ A D y 9ED X D P1> S87ØD @A Dx9 7K689w7K689 hT>"@A987 g> 6 > S87 A M6 [ y ³~687z9 X 6E6E5³T5y±7 >"@ 9 [ M\S [ ¡!9ES > L7 û [ S > SED [ @dN3 4ØMS87K6 A 7N¡vD @ D @ LS 7Æ9w7 P [ @A> 6E5 XG [ ³~S > D @ 7 A Dx9S D P 7 @ 7 AÚ>"@A > 9 7 A 9ED @ L9EDx7Kb7¤³^7 X S 687:98987:9 3¬@ [q 6¤9ES A 5 7 > 989 y±7 A S g> SS 7|987 P [ @A> 6E5 XGêP [ @ 9EDx9ES89 [ M >$/2F~/2 yzD J S 687[ M @ 7 9 g>" 7K689 >"@A y > L > ½:D @ 7:9 3 7D @ >"@A [ S 7K6¤DGy 6EDGSEDx7:9 > 687|M [q @A D @ S 7 > 9ES87 > S87K6|7ix 7 @ S [ 6¤D @ S 79 X A L7=S g> S¥Dx9¤987 @ SS [ S 7=³ [ D X 7K6 [q 9w7 ~XY>"@ S¤M [ 6³ 6 @ D @ L 6 [ 987 3?> ³ X 7 Z ± 687:987 @ S89S 7¥D @ b7 @ S [ 6E5 A> S > [ MS 7 A 7N¡vD @ D @ L ~XY>"@ SD @ Q P 7 @g> 6ED [ 9 $ h >"@AR¶h M [ 6WS 7 @g> 6E6 [ >"@A D A 7Æ9E59ES87Ky ³ [q @A> 6EDx7:9 3

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nkvwv o2qSrßts ^ )ð j

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2 nkvwv o2qSrßts ^zÜy,QN.ªF<[NN EªF¤£¡q+Êd[t=¤£NM¡^d£N¤¡^:¤ª¤ yEE,&O§yE.£^&L<ªF mp<l Eª)¤£¡qJD\[t¬@ S Dx9987 P SED [ @ S 7¨³ [ D X 7K6 [q 987 ~XY>"@ S cU\¶d>"@A S 7 @g> S 6 >"X L > 9¸¡ 687 AP [ y|³~D @ 7 AP 5 PKX 7 [ 7K6 ~XY>"@ S c Ò ¨dØ> 687 687:9w7 @ S87 AA\ 7¥y > 989 >"@A 7 J 7K6EL/5(D @~ S ;"[q S SD @ b7 @ S [ 6E5 A> S > M [ 6S 7:9w7 ~XY>"@ S89 >"X [ @ 7 >"@A S [ L7KS 7K6 > 687|L/DGb7 @ D @> ³ X 7:9 Z ð ¡ Z >"@AR?> ³ X 7 Zkj h 687:9 7 P SEDGb7 X 5 S [UEE Q [ L¯ yzD XGXnh S > y [q @ S [ M\S y >"X @ L @ , A A S [ y >"@ M >qP S wE@ g>" D 8[ A P A ³VS E, S* ,±[ M¤³ [ D X E F·c¸)d S [ ³ > E; [&[ A > S ³ [ D X EÖ[ M >¥>"@A±/Bê P1>"g>qP DGS* h E, P SEDGb X c S E S?³ [ D X g> >û D A D E A³ AAh D X S XY> SES [ @ g> > y [ bTD @ LL DGS d « c d [ @ W X P S D P ³ [ D X ¨[ M >¤H¥BêP1>"g>qP DGSY h¨cOd>"@A [ @ [ D X ³ [ D X ¥[ M > Bê P1>"g>qP DGSY Æ ³ [ D X [q zE ~XY>"@ Sg> > ³ >qP ¡ E,EE wEk S > yS w ³~D @ h D Pw±P1>"@ L @ > S 0 X P S D P DGSY|M 8[ y S DGL E,E8 wE;8 > ¡ > S w > S A S > y cF ³ > h/H 0 Z d [ ³~S > D @ A D @ S ³ [ D X E ? [ A> hS D 0 S > y S w ³~D @ D @ [ S [ > S AAÖ D D S E > 8[ @ [q w S A A [, @ [ SP [ @ D A E A DGSM [U S P1>"XxP XY> SED [ @ ?> ³ X zZ ð L/DGb , S D @ b @ S [U A> S > [ M¨S ³ [ D X [q zE ~XY>"@ S¤D @ Q P @g> D [ $ h >"@AR¶h M [U S @g> J8[ >"@A D A ] S y ³ [q @A> D , @g> S w >"X L > ¡ E AP [ y|³~D @ AP PKX [ ~XY>"@ S D Pw D S > @> S M >qP D X DGSYM [U X P S D P DGS*ÆL @ > SED [ @ D @A 8[ µ P S > S [UEE Q [ L¯ yzD XGXn 8[ µ P S g> ³ , @( 8[ [E A S [ ³ P [ @ S E P S A D @ S @ J S < > E <¬ S S P8~@ D P1>"XA S > D X > E S @ [ S @ [ @< E M [UE h S D @ b @ S [U A> S > [ M-S Ò ¨ > Ö[ ³~S > D @ A M 8[ yZ g>" S |>"@A ~ @A D J E > > EE y A S g> SS > y [q @ S [ M X P S D P DGS*@ , A A M [U S g>" 8[ A P SED [ @h > S > S >"@A > S g>" S E > SEy @ S >"@A > S g>" D @P D @ > SED [ @ D Ø[ ³~S > D @ A M 8[ y S Ò Ö?> ³ X Z L/DGb , S D @ b @ S [U A> S > [ MS @g> S w >"X L > ¡ E AP [ y³~D @ AP PKX [ ~XY>"@ SD @ Q P @g> D [ $ h >"@AR¶h M [U S @g> J8[ >"@A D A S y ³ [q @A> D , ?> ³ X ZkjdE yzy > D E, S E,E X S z[ ³~S > D @ A D @ ?> ³ X ,Z ðÚ>"@A Z D @ [U A S [[ ³~S > D @ S A> S > M [U S @ L P [ @ b E D [ @ E P S [U D @ S \ S y

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nkvwv o2qSrßts ^

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nkvwv o2qSrßts ^

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nkvwv o2qSrßts ^

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H nkvwv o2qSrßts ^±ï Np¤ ¦¡p¤¡<D¡:<¤¡¢§ &£¡ EªF¤£¡Qq>ss3[t¬@ S D E P SED [ @ S 8[ P ,I A , P D SED [ @ [ M > S > S S E > SEy @ S ~XY>"@ S cíÅWdD E,E @ S AA< > EE y SED [ @ >"@A S M [U y XY> M [U S 9 J L P1>"XxP XY> SED [ @ [ MS Pw yzD P1>"X >"@A yzD E D [ @ S g> S > E g> S [ MÖS > S > S P [ y [ DGSED [ @Õ> E >"X 8[L/DGb @Ö D @ b @ S [U A> S > [ MS D ~XY>"@ SD @ Q P @g> D [ $ h >"@AǶè> E E,I @ S AD @> ³ X ØZ <o ,E A> S > E P [ XGX P S A M 8[ yèS > S > S S E > SEy @ SM >qP D X DGSY> S [UEE Q [ L¯ yzD XGXn M [ XGX [ D @ L > EE y SED [ @ >"@A DGy ~X D gP1> SED [ @ E zE A M [U S P1>"XxP XY> SED [ @ [ M J L [ MD @~ S >"@A [q S Sy > S D >"Xû [ FÚc¸)d S > S > P [ @ D A E Aò> >û D AP [ @ S > D @ D @ L P [ y [ @ @ S [ MWS y >"X J L c > S dÆ>"@A·Pw yzD P1>"X J Lc [U L >"@ D P y > SES kE E,E @ S A ³ Z ¼ ® >"@AUؼ ® h~ [ ~ [UE z c

td¨>"@A@ DGS 8[ L @

ctdEdih<c d S [ J L P [ @ S @ S [ M PKX >"@ > S >"@A @P [ @ S > yzD @g> S A·@ S D @ S D @ [ S , SEDGy > S AAWcOd 9 J L y|³ [ A D A D @ ³ D XxA D @ L >"@A S 9 J L @ , A A M [U

~XY>"@ Sy > D @ S @g>"@P > E] J~PKX A A M 8[ y S ] J L P1>"XxP XY> SED [ @ cHTd ] S y³ [q @A> [ M W D A > @> 8[q @A S ~XY>"@ S > S > S S g> S P [ y , M 8[ y S [&[ A > AAh S y [ ¡vy Pwg>"@ D P1>"X XG D @ L~XY>"@ S h´>"@Ag>" y > D @ L ~XY>"@ S g> > S y > S wEz[ M 0 Z ^ D S y > S wED A D ù E @ SM 8[ yS > b > L >"@~@ >"X @ bTD 8[ @ y @ S >"X S y > S wE c

T0

0 Z di D y >"@ S g> SS V J L P [ @ S @ S [ MS > S > S h~A z S [ DGS > S P [ @ S @ S hD A D ù E @ S\M 8[ y ½ 8[ Ö S y >"X J L P [ @ S @ S cEthermal

wastewater

d [ M > S > S > P1>"XxP XY> S Aê> F

Ethermalwastewater = Q(1 − T

0

T − T0

ln(T

T0

))c Z < ¡ )d

EQ = mcp(T − T

0)

c Z < ¡ d¶ E h

QD S S y >"X @ L û [ [ M > S > S c D @ dih

mD S y > E û [ > S [ M > S > S c D @ L / dih>"@A cp D S [ P D gP > S P1>"g>qP DGS* [ M > S c D @a

/ L di S y > S wE P8g>"@ L =[ M > S > S @ DGS g> EE, S 8[q L S S E > SEy @ S~XY>"@ SD 9 y >"XGXn¬ S > > EE y A S g> S\S J L X [E A z > S J~P8g>"@ L ³ S , @ > S > S >"@AÑ [ S > S D D @ DGL @ D gP1>"@ S Õ¬@C>qA~A DGSED [ @h DGS > > E8 y A S g> SS d J L A y >"@A M [U > D D @ LCS > D S y > S wE D @ S ³ D XxA D @ L D >"X 8[D @ DGL @ D gP1>"@ S ¤¶ [ b h S > D D @ S ³ D XxA D @ L ¥[ MÖS S E > SEy @ S ~XY>"@ S P1>"@ ³ P [&[ X A·A [ @VA z S [ > S b >" [U > SED [ @ D y >"@ S g> SÆS S y >"X @ LM [U > SED @ L=S ³ D XxA D @ L P1>"@ ³ DGy [U S >"@ S h>"@A>"X 8[ h S W J L X [EE XY> S A S [

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nkvwv o2qSrßts ^ S 8[ A P SED [ @h´A D S DG³ SED [ @C>"@A JPwg>"@ L ±[ MS y >"X @ L z E > E >"X 8[ J L X [EE, @ S S E > S A > S > S D kE X > E A D @ S [ S > S 0E,E b [ D ,E\ J L X [EE, E @ [ S P [ @ D A E A D @ S ] S A

f<¦ oNtu/ik¸s=kqtOurq_g]h±r/O!oKti> D >"@AÚ>"@ M \ Ò¤[ A>c¸ j d [ A S g> SS S >"@ ¡A> AòPw yzD P1>"X J L [ M [U L >"@ D P y > SES D @ > S > S P1>"@ ³ Q, SEDGy > S A ³c¶ XGX S y jj ð/dNF

Eorganic matter = 13.7 TOD [kJ/l]c Z < ¡ d

E TOD D S S :[UE SED P1>"X [ J TL @A y >"@A [ M > S > S ¨¶ XGX S y c¸ jj ð/d[ ³~S > D @ AÕ> b >"X z=[ M 1o a

/LM [U S Pw yzD P1>"X J L [ MÖS P8 yzD P1>"X [ J &L @

A y >"@Ac Z ¼ ® d y > SES h->"@A> b >"X zÆ[ M a/LzM [U S Pw yzD P1>"X J L [ MS

³~D [ P8 yzD P1>"X [ J &L @=A y >"@AÇcUؼ ® d y > SES P [ @ S DG³ SED [ @ [ MS A D X SED [ @ [ MZ ¼ ® >"@AÇUؼ ®èy > SES D @ S [ wE > S > @ [ S P [ @ D A E A M [U S P1>"XxP XY> SED [ @[ M´S J L [ M > S > S ¨ \ J L P [ @ S @ S [ M > S > S > P1>"XxP XY> S AP [ @ D A D @ L [ @~X S S y > S wE P [ @ S DG³ SED [ @h I, I ¾ Z < ¡

f<¦ oNtu/iÑk¸s|mgª&k"!mgª&kqtNRrq_pÕ_]tEk8uoK_ Ѭ S > > E8 y A S g> S >"XGXW@ DGS 8[ L @ J D S > > yzy [ @ D y c¶ +4

d¤>"@A>"XGXÖ~ [ ~ [UE z > ~ [ ~g> S D [ @ c¶¼42− diz S >"@A> AÕPw yzD P1>"X J L [ M > yzy [ @ D y D G a

/y [ X >"@A M [U ¶¥¼

42− D

1"HzG a/y [ X c QT½ > L S S >"Xn j / di

f<¦ oNtu/i kEsÑhNªoN]Oh8rqjüi [ y > D @ P8 yzD P1>"X >"@A [ @ > J D X D > y > S D >"X±> E SED X D E A·> S¥S íÅWa´ > E S X DGy c Z >¼¥dÆ>"@A S Ô c S ­¬ >"X ¡yzD @ D y > X

2c Q ¼

4d −3

Jc¸KH ¡ 1dÖ¶2¼ >"@Aoeð S ­¬ D 8[ @Ç> ²

2c Q ¼

4d3J j ¶

2¼¥dih

>"@A S ¥[U L >"@ D P| [ X &y E h E, P SEDGb X P8 yzD P1>"X J L/D ,[ M?S ,E P8 yzDl¡P1>"X E P [ XGX P S A M 8[ y QT½ > L S S >"Xnc¸ j / di¼ L >"@ D P¥ [ X &y E > E S* D P1>"XGX PKXY> E D A> X [ @ Lq¡ P8g> D @ [U L >"@ D P y [ X P X , DGS y [ X P XY> DGL S ³ S , @V< 4 >"@AÕ< 10 ¨ \ J L P [ @ S @ S [ M [U L >"@ D PÆ [ X ¡y E D DGL ~X P [UJE XY> S A S [ S > y [q @ S [ M [ J &L @hT@ DGS 8[ L @(>"@A E XG~ w D @ S y [ X P X , QT½ > L S S >"Xnc¸ j / d L > b S b >"X z,[ M S >"@A> A=P8 yzD P1>"X J L¤M [UE b >"X [U L >"@ D P¤P [ y [q @A Ö¬@ S D 0 S A h S P8 yzD P1>"X J L/D ,W[ M´S ¤[U L >"@ D P [ X Ty E E], SEDGy > S A S [ ³ S > y cH a / L [ X &y di

f<¦ oNtu/ik¸sNjü~p1uo,Õ > EE y A S g> SS E y [ b AC~ [ ~ [UE z D E P D DGS > S A DGS Z > 2+ [U X 3+ >"@A S E y > D @ D @ L P8 yzD P1>"X M [U y A 8[ J D A , >"@AÕP1> ³ [ @ ¡> S , P8 yzD P1>"X J L/D ,[ MWS ,E P8 yzD P1>"X E P1>"XxP XY> S A M 8[ y QT½ > L S S >"XnÆc¸ j / di M [ XGX [ D @ L P8 yzD P1>"X J L/D , EÕ[ ³~S > D @ AF a / LÑM [UZ >

3c¼

4d2h< a

/L(M [U Xx¼

4h<< a

/LM [U|Z > Z ¼

3h< a

/L(M [U X!cv¼¶¤d

3h

Page 204: Analise Exergia e Produçao Entropia

nkvwv o2qSrßts ^>"@AÇH a

/LzM [U ² cv¼¶¥d

3

Ö[U L >"@ D P y > SES D @ X A L > > EE y A S [ ³ E,E @ S > P XGX X [I c Z 12¶

24¼

12d

[U > P XGX SED IE z c Z5¶

7¥¼

2d=c¶ XGX S y jj ð/diz P8 yzD P1>"X J L [ M P XGX ¡

X [E D eð a / L c QT½ > L S S >"Xn\ j / dih D X S g> S [ M P XGX SED EE z D /o a / Lc¶ XGX S y jj ð/di?> ³ X =Z < L/DGb , S D @ b @ S [U A> S > [ M<S > S > S S E > SEy @ S ~XY>"@ SD @ Q P ¡@g> D [ $ h >"@AR¶h M [U S @g> J8[ >"@A D A S y ³ [q @A> D ,

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nkvwv o2qSrßts ^ ð

Page 206: Analise Exergia e Produçao Entropia

/ nkvwv o2qSrßts ^±ïïNp¤ ¦¡< G¤ &¡:<¤¡¢§ &£¡ EªF¤£¡q>s 3[t¬@ S D E P SED [ @>= 8[ P ,E A , P D SED [ @ [ MS > S g>" S E > SEy @ S ~XY>"@ SØD E S E,E @ S AAÖ @h S D @ b @ S [U A> S > M [U S D ~XY>"@ SD @ Q P @g> D [ $ h >"@A¶ > EL/DGb @ D @ê> ³ X Z / > S g>" S E > SEy @ S ~XY>"@ S cÅÖWd´P [ @ D S ?[ M 8[U SED @ L >"@A ³ >"X , E,E D @ L[ MS > S g>" P [ XGX P S A M 8[ y S [q zE [ XxA D @· 8[ @A DGy ±> S g>" hA X DGb E A ³þL > ³ > L S E P m h D A y A [ @ S SED ~ D @ L û [&[U[ MÆS S [U > L ³ D XxA D @ L E >"@ @ [ @ ¡ g>" DGS yD WE y [ b AA¤ @h S > S g>" D E @ SS [ > y > L @ SED P E g> > SED [ @h>"@Aj@g>"XGX h S [ > y >"@ >"X P E, @ D @ L ± X P S D P DGS*A y >"@A M [U S D ~XY>"@ SD 0E ~~X D A ³S @g> S w >"X L > ¡ E A( [ ~XY>"@ S X [ P1> S A> S [UEE Q [ L¯ yzD XGX¨c E, ~ @A D J Z di?> ³ X =Z / L/DGb , S D @ b @ S [U A> S > [ MS > S g>" S E > SEy @ S ~XY>"@ SØD @ Q P ¡@g> D [ $ h >"@AR¶h M [U S @g> J8[ >"@A D A S y ³ [q @A> D ,

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nkvwv o2qSrßts ^ j

Page 208: Analise Exergia e Produçao Entropia

j nkvwv o2qSrßts ^±ï~¢N §dG£NF<F G¤ªp¤ ¦¡c.£N<.£^&,¤¡¢F£H Eª)¤£¡QqT|rs¡Æ[t¬@ S D kE P SED [ @h>| 8[ P ,E A , P D SED [ @ [ M´S y @ D P D g>"X > S D @P D @ > SED [ @R~XY>"@ SD E,E @ S AAê D @ b @ S [U A> S > M [U S D ~XY>"@ S=D @ Q P @g> D [ $ h >"@AѶ > E>"X 8[ L/DGb @ D @> ³ X Z M >qP D X DGS* [ My @ D P D g>"X > S D @P D @ > SED [ @(P [ @ D S ¨[ M^S E,VI P SED [ @ FP [ y|³ z ¡SED [ @h S y >"X @ L E P [ b >"@Aû z L > S E > SEy @ S P [ y³ z SED [ @ E P SED [ @g> S E, g> >"XGX X¨X D @ , h >qPw DGS >(P1>"g>qP DGS* [ M S [ @~@ [q w ¼@ X D @ D M [U D @P D @ > SED [ @ [ M > S g>" h D X S ¤[ S S [ > E M [U y > E P [ y³ z SED [ @[ M¥M [T[ A > S >"@A [ S [q zE [ XxA >"@A D @A z S D >"X > S , P [ y³ z SED [ @E P SED [ @ M [U > S g>" D Pwg> >qP S D E A ³ > y [ ³~D X L > S P [ @ D SED @ L [ M > E ¡ D ,[ M >"X S @g> S ~J AC>"@A y [ ³~D X ³ > E E S > S g>" M z X @A L [m,P [ y³ z SED [ @ L > S D P [&[ X A ³ > S D @P S X [ > SED @ LVb >"X zR[ M > S g>" D DGL S g>"@ S g> S [ MÖS yzD J A > S , c¸)ð b BÚa / L di M w @g>qP D A DGb&D A A D @ S E, ½ [ @ , F S M , A D @ L½ [ @ h S P @ S >"X ½ [ @ c EP [ y³ z SED [ @ S > , ~XY>qP dih?>"@A S @g>"X ½ [ @ c E S > , > E A D P1> A Agdi¬@ S P [ y|³ z SED [ @ ½ [ @ S >"X S @g> S y [ b y @ S [ M³ > E >"XGX [ S [ g> b > L [&[ AyzD J D @ L [ M > S S g> SÆD ] J [E A S [ û> y >qA D > SED [ @ L > S D D @PKX D @ A ³< o D @ [U A S [ @ E wE >P [ @ SED @ [q z y [ b y @ S [ M¨S > S ¤ P [ y³ z SED [ @ 8[ P ,E D P [ @ S 8[ XGX A ³(S > D @ LD @ S [ >qP:P [q @ S F S S > y y > E û [ h S |[ J TL @>"@A(P1> ³ [ @ y [ @ [ J D A P [ @P @ S > SED [ @ D @ S û z L > h S P [ y|³ z SED [ @ S y > ¡S wE >"@Aû> y X @ L/S [ b S L > S < û z L > >qP D A S E > SEy @ SWD A [ @ ³ >E yzD A P E ³~³ h D PwÕP [ @ D S [ M > M > ³ D P7X S M [UWE y [ b&D @ L û > , >"@A> I X P SEDGb P1> S >"X &SED P E A P SED [ @ @ DGSWM [UVE y [ b >"X [ M @ DGS 8[ L @ [ J D A , >"@A [U L >"@ D PyzD P 8[ ¡ [ XGX S >"@ S P E ³~³ ¥ zI, >X DGy 8[ X SED [ @ D @ > S S g> S¥D > AP [q @ S P wJE @ S X DGS [ S û z L > > S D S [ S >"XGX òb >" [U D I AAh D P8y >"@ S g> S @ [ > S x z @ SS E > SEy @ SD @ P ,I > ?> ³ X Z L/DGb , S D @ b @ S [U A> S > [ M¨S y @ D P D g>"X > S D @P D @ > SED [ @·~XY>"@ SD @ Q P @g> D [ $ h >"@AR¶h M [U S @g> J8[ >"@A D A ] S y ³ [q @A> D ,

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nkvwv o2qSrßts ^ j

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j nkvwv o2qSrßts ^±ï£ N>¡:¤£N ,¡¤¡¢F£ä£^<¡Ip¢qJt¬@ S D E P SED [ @ S A D S >"@P , M [U S S >"@ [U S > SED [ @ [ M g>" >"@A > S g>" > E E,E @ S AA¨ D @ b @ S [U A> S > [ MS S >"@ [U S > SED [ @ D @ Q P @g> D [ $ h >"@A¶> E L/DGb @ D @R?> ³ X =Z 1o¬ S > > E8 y A S g> S¥S P [ @ L w > SED [ @ [ MS >"@ [U S > SED [ @·@ S [UE D S > y D @ >qPw P @g> D [ > S g>" Ww[q w P ]8[U SED @ L [ M<S > S g>" > > EE y A[ @~X D @ S P1> Iz[ M > S g>" E P PKX D @ L h>"@AÕ@ [ SÆD @ S P1> E±[ M > S g>" D @P D @ > SED [ @¼@ ¡ DGS S [UEE Q [ L¯ yzD XGXc@g> J8[ S yè³ [q @A> dih> S >"@ [U S A D S >"@P [ M o~ y S [ @~@ @ D @ S g>" 8[ A P A > > EE y AAV² [U S D A S y ³ [q @A> h S S >"@ [U S > SED [ @@ S [UE$ S > S @ S @ D @ S g>" D S >"@ [U S A M 8[ y S [UE8 Q [ L¯ yzD XGX S [ 8[ @A DGy \ M [ XGX [ D @ L S D @ S S >"@ [U S > SED [ @ê@ S [UE E P [ @ D A E AF

W² 8[ y [UE8 Q [ L¯ yzD XGX S [ 8[ @A DGy h S S >"@ [U S A D S >"@P D y h~X z y y S* E S w @\ D S >"@ [U SØD A [ @ DGS A D ,E X S E P m[ M > S [ @~@ , P1>"g>qP DGSY

W² 8[ y÷S P [ XGX P SED [ @Ñ [ D @ S PKX [E S [ S [q zI [ XxA D @Ñ 8[ @A DGy S [ S > S g>" S E > SEy @ S ~XY>"@ S cÅÖWd D @ÚB XG z h S S >"@ [U S A D S >"@P D y h¨~X z y y S* E S w @ D S >"@ [U SzD A [ @ ³CL > ³ > L S E P o DGS ê>(< S [ @~@ , P1>"g>qP DGS*

oW² 8[ y S P [ XGX P SED [ @ [ D @ S¨S [ S y @ D P D g>"X > S g>" D @P D @ > SED [ @~XY>"@ ScBŬ\dih S S >"@ [U S A D S >"@P D < y h"~X z < y y SY E S w @ D S >"@ [U SD A [ @ ³ A D ,E X S E P m[ M > S [ @RP1>"g>qP DGS*

® > S > [ @ S £E,8[q w P zE >"@A yzD E D [ @ E XY> S A S [ S S >"@ [U S @ S [UE ³y >"@ ±[ My A D y¡ DG½ AòA D ,E X S E P m c S [ @d E S > @ M 8[ y U , c di > S [U PKXY> DGy A S g> SS > y [q @ S [ M J L @ S|D @ E P8 S E P m D oG1"HBÚaA D ,E X J L L [ M g>" =[U > S g>" = y÷S >"@ [U S A D S >"@P cU ,W di\ P8 yzD P1>"X J L [ M<S A D ,E X M z X DGS Ú>"@ê> EE y A > SED [[ M¶/Z j h¼ / Z go h>"@A Q / Z go HTðmh > P1>"XxP XY> S Aê> c [ S > j dNF

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nkvwv o2qSrßts ^ j

Echemdiesel = LHVdieselψ + 9417S [kJ/kg diesel]

c Z 1 ¡ )d

E

ψ = 1.0401 + 0.1728H

C+ 0.0432

O

C+ 0.2169

S

C(1 − 2.0629

H

C) [−]

c Z 1 ¡ d

>"@ALHVdiesel = 42.7 [kJ/kg diesel]

c Z 1 ¡ d M [ XGX [ D @ L X DlM ¡ P PKX yzD E D [ @ M [U[ @ =Ò aA D ,E X J L E P1>"XxP XY> S A ³U , c dNF L P1> ³ [ @ÑA D [ J D A hoGKH L A 8[ P1> ³ [ @ h~"H/H L @ DGS 8[ L @y [ @ [ J D A hoo ð L P1> ³ [ @ y [ @ [ J D A hwo~/ L g> SED P XY> S y > SES E cU ,9 di® > S > [ @ D @ S @g>"XP [ y|³ z SED [ @ @ L/D @ J L P [ @ b E D [ @ ÓP D @P , SEDGy > S ES > @ M 8[ y¤' E, c di ¬@ S D [UE h¥>"@ J L P [ @ b E D [ @ ÓP D @P [ M ~O¬ > P1>"XxP XY> S A M [U > M z X ¡ > D H ¡ P PKX S E P @ L/D @ S g> S=D [ > S AC> S > , A [ M y >"@AÇ>"@R> b > L P [ y E,E D [ @ > SED [[ M < ÓP D @P b >"X z > ¥[ ³~S > D @ A> MS \E ³~S >qP SED [ @ [ M¨D @ S @g>"X @ L/D @ M D P SED [ @ÕX [EE, h S >"@ yzD E D [ @X [EI, h S @g>"X S*=M [U b > D > ³ X X [ >qA D @ S [ ¡ S > S w ³ >"@A DGb&D @ L h&>"@A S X [EE,D @ S 8[ A P A ³ X DGL SED @ L h > SED @ L >"@AR> D P [ @A DGSED [ @ D @ L ?> ³ X ¥Z 1 L/DGb , S D @ b @ S [U A> S > [ M´S S >"@ [U S > SED [ @Ç@ S [UE D @ Q P @g> D [$ h >"@AǶh M [U S @g> J8[ >"@A D A ³ [q @A> D ,

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j H nkvwv o2qSrßts ^

Page 213: Analise Exergia e Produçao Entropia

nkvwv o2qSrßts¥ j ujvwvTxyzw|W¦ §¨xL¨x<¥EzyU |Ox?|^yjw,xz |[y¨x¥¥Ezx3vSvTx©z?|[y©¥vOpx" [ @ S g>"XG >"@A @ S 8[ P8g>"@ L , M [U > S ³ S , @ S S > S , D @ S g>" , S >"@A S > D @ > S [ S g>" V , S E w M >qP hg> E

∆H = ∆sorH + ∆vapH +

∫ Tair

Tp

C in airp,H2O dT

c ®¡ )d>"@A

∆S = −∆sorH

Tp− R

MH2Oln(Θ(w, Tp)) +

∆vapH

Tp

− R

MH2Oln

(

pin airH2O

p∗

)

+

∫ Tair

Tp

C in airp,H2O

TdT. (D − 2)

\8[U SED [ @ @ S g>"XG [ M X Dx¾ D A > S S [ g>" D

∆sorH = −R∂lnΘ(w, Tp)

∂(1/Tp).

c ®¡ d

A ,8[U SED [ @ D 8[ S y [ M g>" c >"~X¨ j d D

Θ(w, Tp) =p∗pp∗

= exp(β1Tp − β2),c ®¡ HTd

E β1>"@A

β2 E A S yzD @ A ³ > X Ew[ @>"@A Q [ D @ D @ @Vc¸ j d

β1 = exp(−15.03w − 1.37√w − 3.14),

c ®¡ d

β2 = exp(−13.53w − 2.90√w + 2.9).

c ®¡ dë D @ L Z XY> z D z ¡ Z XY>" 8[ @ ¯ E XY> SED [ @h S \ b >" [U > SED [ @ @ S g>"XG RD

∆vapH = −R∂ln(p∗/p)

∂(1/Tp),

c ®¡ ð/d

E S ] ¾ D X DG³ D y b >" [q w E,IE wE > L/DGb @ ³ ?> [ E D S >"Xn´c¸ jj )dW>

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j n;vwv o2qSrßts¥

p∗(Tp) = 0.133 × 103 exp(18.303 − 3816.44

Tp − 46.13).

c ®¡ d

> S P1>"g>qP DGS* [ M g>" D S > @Ú>

Cp,p = Cp,dry−p + wCp,H2O,c ®¡ j d

E Cp,dry−pD S [ P D gP > S P1>"g>qP DGSY [ M A g>" Æ D XG X y E8[ @ S >"Xn

c¸ jj HTd 8 L/L , S A S g> SØS > S P1>"g>qP DGS* [ M @ D @ SD /za / L

Page 215: Analise Exergia e Produçao Entropia

nkvwv o2qSrßtsª j ðujvwvTxyzw|W¬«D]§¨x­¨x ?OUy:+xLExw®g |xy^O :xz |y ¨xÞ¥Ezx3vSvTx©z?|[y©¥vOpx" > SS >"@ M P [ ÓP D @ S ³ S , @(P X D @A >"@Azg>" E P1>"XxP XY> S A DGS > E XY> SED [ @ L/DGb @ ³ ; [ A D z >"@A Ò¤[ SES P8 D @ L c¸ j ð j d

hcyl−p = 1556.6w + 52.87.cI ¡ )d

> SWS >"@ M P [ ÓP D @ S ³ S , @ S g>" , S >"@AÇ> D E P1>"XxP XY> S AM 8[ y S M [ XGX [ D @ L E XY> SED [ @ L/DGb @ ³ ¬!@P 8[ >Ú>"@A· DGSES c¸ j diÇ @ S g>" , SØD X [ P1> S A ³ S , @ S [ P X D @A E h S > SØS >"@ M P [m ÓP D @ SD

hp−air =κ

Dcyl

0.3 +0.62Re

1/2D Pr1/3

[

1 +(

0.4Pr

)2/3]1/4

[

1 +

(ReD

282000

)5/8]4/5

.cI ¡ d

@ S g>" , SWD D @RP [ @ S >qP S DGS P X D @A h S > SØS >"@ M P [m ÓP D @ SD

hp−air =κ

l

(

0.664Re1/2l Pr1/3

) cI ¡ d

@ Rel < ×105 h>"@A DGSWD

hp−air =κ

lPr1/3

(

0.037Re4/5l − 871

) cI ¡ HTd

@ Rel > 5 × 105 ; @ [ XxA >"@A >"@A S X´@ y|³ E E A S yzD @ A ³

ReD =v Dcyl

νRel =

v l

νPr =

Cpµ

κ.

cI ¡ d

XGX^~ D P1>"X 8[ SED ,Ø[ MS L > ~g> I cCphκhµ>"@A

νd> E P1>"XxP XY> S A> SWS

X y S y > S wE cO> b > L |[ MTair

>"@ATpdi

Page 216: Analise Exergia e Produçao Entropia