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    Heat Transfer MECE 3930U

    Lab 1:

    Heat Conduction Unit

    Lab Group:

    Date of Lab: January !" 01#

    Due Date: $ebruary %" 01#

    &a'e (tudent )D (i*natureEric McCor'ic+ 100! 303#Matt,e- Le.ins 100! 03/#Ty er Le-is 100! !Cody 2a ton 100! 10#3

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    Contents)ntroduction

    T,eoretica 4ac+*round and 5pp ication

    E6peri'enta Unit and 7rocedure

    E8uip'ent

    7rocedure

    esu ts and Discussion

    E8uations

    Tabu ated DataConc usion

    &o'enc ature

    eferences

    5ppendi6

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    1

    IntroductionT,e ob ecti.e of t,is ab is to in.esti*ate i'portant aspects of conduction ,eat transfer

    Measure'ents -i be 'ade to e6p ore t,e properties of t,er'a conducti.ity and te'perature

    c,an*es for bot, inear and radia conduction cases

    T,er'a conduction is described as t,e transfer of ener*y fro' 'ore ener*etic partic es

    to ess ener*etic partic es due to t,e partic es interactions -it, one anot,er )n a stationary

    'ediu'" t,is causes a te'perature *radient to e6ist in t,e 'ediu' Heat transfer e6ists in

    .irtua y a en*ineerin* app ications" t,erefore" it is i'portant to ,a.e an understandin* of t,e

    'ec,anics in.o .ed -it, t,er'a conducti.ity

    Theoretical Background and ApplicationT,er'a conduction is t,e transfer of ener*y" in t,e for' of ,eat" fro' areas of ,i*,er

    ener*y concentration to areas of o-er concentration T,e 'et,ods in -,ic, ener*y transfers

    .ary dependin* on t,e p,ysica state of t,e 'ediu' in.o .ed $or *aseous and i8uid 'ediu's"

    t,e transfer of ener*y is due to co isions and diffusion of 'o ecu es durin* rando' 'otion $or

    so id 'ediu's" t,e transfer of ener*y is due to .ibrations in t,e 'o ecu ar attice and by ener*y

    transported by free e ectrons 'o.in* fro' one 'o ecu e to anot,er

    $ourier;s a- of ,eat conduction describes t,e re ations,ip bet-een t,e rate of ,eat

    conduction and .arious properties of t,e 'ediu' as:

    Rateof Heat Conduction ( Area )(Tempurature Difference )

    Thickness

    T,er'a conducti.ity is t,e abi ity for a 'ateria to conduct ,eat T,is .ariab e" denoted as k " is

    dependent on t,e 'ediu' on -,ic, t,e t,er'a conduction is occurrin* 4y usin* t,er'a

    conducti.ity" t,e e8uation for t,e rate of ,eat condition is:

    Q cond = kA dT dx

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    Heat conduction occurs in t,e direction of decreasin* te'perature Due to t,is" t,e

    te'perature *radient"dT dx " beco'es ne*ati.e -it, t,e positi.e 6

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    3

    Experimental Unit and Procedure

    Equipment

    T,e e8uip'ent in.o .ed -it, t,e co'p etion of t,is aboratory is as fo o-s:

    T,er'a Conduction Unit

    1 Heat conduction in 3 .arious p ane -a sHeat conduction in a cy inder

    3 Contro and disp ay unit/ Data cab e! 7o-er cab e# Coo in* -ater feed

    2ater return syste'% Mains po-er

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    T,ree Types of )nserts

    1 4rass" !'' Dia'eter" 30'' Len*t,(tain ess (tee 1 /30!" !'' Dia'eter" 30'' Len*t,

    3 4rass" 1!'' Dia'eter" 30'' Len*t,

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    !

    Cy indrica Heat Conduction Unit

    1 )nsu ated ,ousin*Dis+

    3 Heater / Coo er =copper pipe>! (i6 te'perature 'easurin* points

    Procedure

    T,e ,eat conduction unit -as setup as s,o-n in $i*ure 1 of t,e aboratory 'anua Co d

    -ater -as supp ied to t,e unit usin* t,e ,oses )nsert 1 -as insta ed and t,e coo in* -ater f o-

    rate -as ad usted to appro6i'ate y 1+*?, to ensure t,at a ,eater po-er of 90 2 at a te'perature

    difference of 90@C T,e unit -as turned on and t,e te'perature drop -as set usin* t,e po-er

    settin* on t,e contro and unit disp ay T,e unit -as a o-ed to reac, a steady state condition"

    t,is occurs -,en t,e indi.idua 'easurin* points are stab e and unc,an*in* T,e po-er supp ied

    to t,e unit and t,e te'perature at t,e indi.idua 'easurin* points -ere recorded T,is process

    -as repeated t,ree 'ore ti'es for t,e t-o ot,er inserts" and once a*ain for t,e radia unit

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    #

    Results and Discussion

    Equations

    Heat conduction in a -a is described by $ourier;s La-" -,ic, is e6pressed as:

    Q cond = kA dT dx

    $or t,e co'posite -a s,o-n in $i*ure # of t,e ab 'anua " t,e ,eat f o- is described as:

    1st Layer: Q= K 1 A(T 1 T 2 )

    L1

    nd Layer: Q= K 2 A(T 2 T 3 )

    L2

    &t, Layer: Q= K n A(T n T n+1 )

    Ln

    T,e ,eat f o- fro' t,e o.era difference is found by t,e fo o-in* e8uation:

    Q= A(T 1 T n+1 ) L1k 1

    + L2k 2

    + Lnk n

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    Tabulated Data

    Tab e 1: Heat Conduction in a 7 ane 2a =)nsert A1 -it, 3 Te'perature Measure'ent 7oints>

    Te'perature

    Measure'ent

    7oints

    Materia of Measure'ent

    (ection

    4rass 4rass 4rass

    Dia'eter =''> ! ! !T,eoretica Conducti.ity at

    0@C =-?'B >

    113 113 113

    Measured Heatin* 7o-er =2> #3 !Distance

    =''>

    Measured

    Te'perature

    =@C>

    Te'p Difference in

    = >

    T,er'a Conducti.ity

    =2?'B >

    1 < T 1 = 73.5 <

    Te'perature

    Measure'ent7oints

    Materia of Measure'ent

    (ection

    4rass (tain ess

    (tee

    4rass

    Dia'eter =''> ! ! !T,eoretica Conducti.ity at

    0@C =-?'B >

    113 1! 113

    Measured Heatin* 7o-er =2> //Distance

    =''>

    Measured

    Te'perature

    =@C>

    Te'p Difference in

    = >

    T,er'a Conducti.ity

    =2?'B >

    1 < T 1 = 103.8 <

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    %

    10 T 2 = 102.5

    3 0 T 3 = 98.6

    Contact 7oint

    1

    ! T 4 =

    Contact 7oint !! T 6 =

    #0 T 7 = 28.6

    % 0 T 8 = 26.6

    9 %0 T 9 = 23.5

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    Tab e 3: Heat Conduction in a 7 ane 2a =)nsert A3 -it, &o Te'perature Measure'ent 7oints>

    Te'perature

    Measure'ent

    7oints

    Materia of Measure'ent

    (ection

    4rass 4rass 4rass

    Dia'eter =''> ! 1! !T,eoretica Conducti.ity at

    0@C =-?'B >

    113 113 113

    Measured Heatin* 7o-er =2> ! 1Distance

    =''>

    Measured

    Te'perature

    =@C>

    Te'p Difference in

    = >

    T,er'a Conducti.ity

    =2?'B >

    1 < T 1 = 85.3 <

    Te'perature

    Measure'ent

    7oints

    Materia of Measure'ent

    (ection

    4rass

    Dia'eter =''> 1 ?110T,eoretica Conducti.ity at

    0@C =-?'B >

    113

    Measured Heatin* 7o-er =2> #/Distance

    =''>

    Measured

    Te'perature

    =@C>

    Te'p Difference in

    = >

    T,er'a Conducti.ity

    =2?'B >

    1 < T 1 = 46.8