cost calculations sara jotshi us pricing

Phase Change Material Properties NaNO3

Density (kg/m3) 2257Solid Heat Capacity (J/kg.K) 1780Liquid Heat Capacity (J/kg.K) 1610Latent Heat (J/kg) 170000Thermal Conductivity (W/m.K)Melting Point (degC) 306Solid Operating Temp (K) tsLiquid Operating Temp (K) tlMolwt 85

Cost Calculations

Heat to be stored (kWh) 100000Heat to be stored (J) 360000000000System Temperature Change (K) 90CpdtPCM 324420CpdtShell+ latent heat PTFE 148000

Packed Bed System Radius of sphere (m) 0.0137

Shell thickness 0.0004 PCM Vol 1.0765398E-05 Vol. of sphere 1.1736152E-05sphere Shell Vol 9.7075403E-07PCM Mass in each sphere 0.02429750305Shell Mass in each sphere 0.00213565886Number of sphere required 43909542.47Total PCM Required 1066892.24Total Shell Material Required 93775.80Volume occupied by N sphere 515.33Porosity of Bed 0.35Bed Volume 792.81Spacers Height 5% of total volume 39.64Total Volume of Tank 832.45Air Volume (m3) 317.13Tank Diameter assume (m) 12.00Tank Height 7.36Surface area of Tank on perimeter 277.48Roof/Floor Area of Tank 113.04Surface area with Tank shell 277.85Floor with shell 113.34Roof with shell 113.27

Note: Mp=306C, delta T below Mp = 56delta Tabove Mp = 34Latent heat of Teflon = 31 J/kg used

Property EquationsLiquid Constants Solid ConstantsA -42.4478 A 50.72389B 113.526 B 6.672267C -43.6466 C -2.517167D 5.89663 D 10.15934E 39.1386 E -0.200675F -305.561 F -427.2115G 91.0639 G 130.3973H -385.923 H -411.1203

1400.616

Tank System Components 2002 Cost

Tank Shell (Carbon Steel) ($4.4/kg) - Shell thickness 7 mm 67090.29 - Floor thickness - 8 mm 31235.21 - Roof Thickness 6 mm 23426.41Insulation ($160/m2-300mm 290C;$235/m2 500 565c - 700 mm(Diff 275C-200mm, For 850 C+ 200 mm$300/m2) 62579.37Tank Foundation - Insulating Concrete (460mm and $100/m3) 5213.72 - Concrete Installation $1.3 hr/m3 - Foam glass insulation (200 mm and $356/m3) 8069.92 - Insulating Fire Bricks (330 mm, $1 each) 20288.37 - Installation of bricks (0.1 labor hours each) - Perimeter ringwall bricks (530 mm, $1 each) - Installation of ringwall (0.33 labor hours each ) - Steel Slip Plate 6 mm, $1.3/kg - Installation of steel plate (0.022 labor hour/kg) - Foundation Cooling PipesStorage Media - Storage material ($774/tonne) Current price Assume 825774.60Fabrication of pellets (10%pcm cost) 82577.46

Shell Material -PTFE ($20/kg) Current price 1875516.07 - Cost of encapsulation (10% of shell cost) 187551.61

Labor Costs/Misc (Assume 40% of Total Tank costs) 87161.32Total Costs (USD) 3276484.34Cost per kWh 32.76

Cp° = A + B*t + C*t2 + D*t3 + E/t2

H° − H°298.15= A*t + B*t2/2 + C*t3/3 + D*t4/4 − E/t + F − HS° = A*ln(t) + B*t + C*t2/2 + D*t3/3 − E/(2*t2) + GCp = heat capacity (J/mol*K) H° = standard enthalpy (kJ/mol) S° = standard entropy (J/mol*K) t = temperature (K) / 1000.

Shell Material Properties PTFE

Density (kg/m3) 2200Heat Capactiy (J/kg.K) 1300 Latent heat (j/kg K) 31000Thermal Conductivity

Referenceshttp://ed.icheme.org/costchem.htmlhttp://www.worldsteelprices.com/Brick Vol 0.0016592m3

Updated Cost Cost/KWh

80508.3537482.2628111.69 146102.30 1.46

75095.24 0.75

6256.46

9683.9124346.05 40286.42 0.40

261483.96 2.61

825774.6082577.46

908352.05 9.08

1875516.07187551.61

2063067.67 20.63

104593.58 1.053337497.27

33.37



Cost Calculations



Shell thickness 0.0004 PCM Vol 1.07654E-05 Vol. of sphere 1.173615E-05sphere Shell Vol 9.70754E-07PCM Mass in each sphere 0.024297503Shell Mass in each sphere 0.0021356589Number of sphere required 43909542.469Total PCM Required 1066892.2419Total Shell Material Required 93775.803354Volume occupied by N sphere 515.32906115Porosity of Bed 0.35Bed Volume 792.81394024Spacers Height 5% of total volume 39.640697012Total Volume of Tank 832.45463725Air Volume (m3) 317.1255761Tank Diameter assume (m) 12Tank Height 7.3642483833Surface area of Tank on perimeter 277.48487908Roof/Floor Area of Tank 113.04Surface area with Tank shell 277.85485892Floor with shell 113.34164096Roof with shell 113.26619304

Property EquationsLiquid Constants Solid ConstantsA -42.4478 A 50.72389

Cp° = A + B*t + C*t2 + D*t3 + E/t2 B 113.526 B 6.672267H° − H°298.15= A*t + B*t2/2 + C*t3/3 + D*t4/4 − E/t + F − C -43.6466 C -2.517167S° = A*ln(t) + B*t + C*t2/2 + D*t3/3 − E/(2*t2) + G D 5.89663 D 10.15934Cp = heat capacity (J/mol*K) E 39.1386 E -0.200675

F -305.561 F -427.2115G 91.0639 G 130.3973H -385.923 H -411.1203

1400.616



Shell Material -PTFE ($20kg) Current price 1875516Zinc coating 10% of PCM wt. @$2000/Ton 213378.4Cost of encapsulation (10% of shell cost) 208889.5

Labor Costs/Misc (Assume 40% of Total Tank costs) 87161.32Total Costs (USD) 3511201Cost per kWh 35.11201

H° = standard enthalpy (kJ/mol) S° = standard entropy (J/mol*K) t = temperature (K) / 1000.

Shell Material Properties PTFE

Density (kg/m3) 2200Heat Capactiy (J/kg.K) 1300 Latent heat (j/kg K) 31000Thermal Conductivity

Heat Capactiy (J/kg.K) for Zinc 388

Referenceshttp://ed.icheme.org/costchem.htmlhttp://www.worldsteelprices.com/Brick Vol 0.0016592m3


80508.3537482.2628111.69 146102.3 1.46

75095.24 0.75

6256.46

9683.9124346.05 40286.4152 0.40

261483.957 2.61

825774.6082577.46

908352.055 9.08

1875516.07213378.45208889.45 2297784 22.98

104593.58 1.053572213.56

35.72



Cost Calculations




Property EquationsLiquid Constants Solid ConstantsA -42.4478 A

Cp° = A + B*t + C*t2 + D*t3 + E/t2 B 113.526 BH° − H°298.15= A*t + B*t2/2 + C*t3/3 + D*t4/4 − E/t + F − H C -43.6466 CS° = A*ln(t) + B*t + C*t2/2 + D*t3/3 − E/(2*t2) + G D 5.89663 DCp = heat capacity (J/mol*K) E 39.1386 E

F -305.561 FG 91.0639 GH -385.923 H

1400.616



Shell Material -PTFE ($3/kg) Current price 1875516.067Nickel coating 5% of PCM wt. @$15000/Ton 960203.0177Cost of encapsulation (10% of shell cost) 283571.9085



Solid Constants Shell Material Properties PTFE50.723896.672267 Density (kg/m3) 2200

-2.517167 Heat Capactiy (J/kg.K) 1300 Latent heat (j/kg K) 3100010.15934 Thermal Conductivity

-0.200675-427.2115 Heat Capactiy (J/kg.K) for Nickel 445130.3973

-411.1203 Referenceshttp://ed.icheme.org/costchem.htmlhttp://www.worldsteelprices.com/Brick Vol 0.0016592m3


80508.3537482.2628111.69 146102.30 1.46

75095.24 0.75

6256.46

9683.9124346.05 40286.42 0.40

261483.96 2.61

825774.6082577.46

908352.05 9.08

1875516.07960203.02283571.91 3119290.99 31.19

104593.58 1.054393720.59

43.94



Cost Calculations




Property EquationsLiquid Constants Solid ConstantsA -42.4478 A

Cp° = A + B*t + C*t2 + D*t3 + E/t2 B 113.526 BH° − H°298.15= A*t + B*t2/2 + C*t3/3 + D*t4/4 − E/t + F C -43.6466 CS° = A*ln(t) + B*t + C*t2/2 + D*t3/3 − E/(2*t2) + G D 5.89663 DCp = heat capacity (J/mol*K) E 39.1386 E

F -305.561 FG 91.0639 GH -385.923 H

1400.616



Shell Material -PTFE ($3/kg) Current price 1879553.2713881Nickel coating 5% of PCM wt. @$15000/Ton 962269.93452038Cost of encapsulation (10% of shell cost) 284182.32059084



Solid Constants Shell Material Properties PTFE50.723896.672267 Density (kg/m3) 2200

-2.517167 Heat Capactiy (J/kg.K) 130010.15934 Thermal Conductivity

-0.200675-427.2115 Heat Capactiy (J/kg.K) for Nickel 445130.3973

-411.1203 Referenceshttp://ed.icheme.org/costchem.htmlhttp://www.worldsteelprices.com/Brick Vol 0.0016592m3

Updated Cost

80681.6537482.2628111.69 146275.60

75210.08

6256.46

9683.9124346.05 40286.42

261772.09

827552.1482755.21

910307.36

1879553.27962269.93284182.32 3126005.53

104708.844402793.82

44.03

Latent heat (j/kg K)

Cost/KWh

1.46

0.75

0.40

2.62

9.10

31.26

1.05

cost calculations sara jotshi us pricing

Documents