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Refrigeration Calculations - Sporlan Online

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27<br />

A collection of short<br />

pointed topical papers.<br />

May 2006<br />

Whether it’s Air Conditioning or <strong>Refrigeration</strong><br />

<strong>Refrigeration</strong><br />

<strong>Calculations</strong><br />

by: Garth Denison<br />

Senior Application Engineer<br />

The <strong>Sporlan</strong> Division of Parker Hannifin assumes no obligation or liability for any advice furnished or for any<br />

results obtained with respect to this information. All such advice is given and accepted at users risk. This disclosure<br />

of information herein is not a license to operate under, or a recommendation to infringe any patent of<br />

<strong>Sporlan</strong> Division of Parker Hannifin or others.<br />

® Registered trademark of <strong>Sporlan</strong> Division of Parker Hannifin, Washington, MO 63090 USA<br />

© Copyright 2003 by <strong>Sporlan</strong> Division of Parker Hannifin, Washington, MO 63090 USA<br />

This document may be copied and distributed for educational purposes only.<br />

®<br />

Cold W.A.R. Issue 027


Page 2 - Cold W.A.R. Issue 27<br />

1. Net <strong>Refrigeration</strong><br />

Effect, Btu/lb<br />

2. Net Refrigerating<br />

Effect, Btu/lb<br />

3. Net refrigerating<br />

Effect, Btu/lb<br />

4. Refrigerant Circulated,<br />

lb/min<br />

5. Compressor<br />

Displacement, cu ft/min<br />

6. Compressor<br />

Displacement, cu ft/min<br />

7. Heat of Compression,<br />

Btu/lb<br />

8. Heat of Compression<br />

Btu/lb<br />

9. Compression Work,<br />

Btu/min<br />

10. Compression<br />

Horsepower<br />

<strong>Refrigeration</strong> <strong>Calculations</strong><br />

Pressure-enthalpy charts are tools to use in better understanding refrigeration cycles, for judging<br />

whether the operation is normal, and for estimating the effect of change in operation. Learning<br />

how to read the charts and to do the calculations involved will pay rich dividends in all phases of<br />

refrigeration work.<br />

Examples of various refrigeration calculations are shown below.<br />

Heat content of<br />

vapor leaving<br />

evaporator, Btu/lb<br />

Latent heat of<br />

vaporization,<br />

Btu/lb<br />

Capacity, Btu/min<br />

Refrigerant circulated, lb/min<br />

Load or capacity, Btu/min<br />

Net refrigeration effect, Btu/lb<br />

Refrigerant<br />

circulated, lb/min<br />

Capacity<br />

Btu/min<br />

X<br />

Heat content of<br />

Vapor leaving<br />

Compressor, Btu/lb<br />

X<br />

Refrigerant circulated, lb/min<br />

Compression work, Btu/min<br />

Heat content of<br />

liquid entering<br />

evaporator, Btu/lb<br />

Conversion factor, 42.41 Btu/min - hp<br />

Change in heat content<br />

of liquid from condensing<br />

to evaporator temperature, Btu/lb<br />

Volume of gas<br />

entering compressor, cu ft/lb<br />

Volume of gas<br />

entering compressor, cu ft/lb<br />

Net refrigerating effect, Btu/lb<br />

Heat of compression,<br />

Btu/lb<br />

X<br />

Heat content of<br />

Vapor entering<br />

Compressor, Btu/lb<br />

(42.41 Btu/min - hp) (compression horsepower)<br />

Refrigerant circulated,<br />

lb/min<br />

or<br />

Btu/hr<br />

2546 Btu/hr - hp


11. Compression<br />

Horsepower<br />

12. Compression<br />

Horsepower<br />

13. Compression<br />

Horsepower per Ton<br />

14. Power, watts<br />

15. Coefficient of<br />

Performance<br />

16. Capacity,<br />

Btu/min<br />

17. Capacity,<br />

Btu/min<br />

18. Capacity,<br />

Btu/min<br />

COP =<br />

Example of # 15<br />

Net refrigeration effect<br />

Heat of compression<br />

NRE is<br />

<strong>Refrigeration</strong> <strong>Calculations</strong><br />

108.8<br />

- 45.1<br />

63.7<br />

H of C is<br />

= 63.7<br />

10.1<br />

SCT is Saturated Condensing Temperature<br />

SST is Saturated Suction Temperature<br />

Cold W.A.R. Issue 27 - Page 3<br />

Heat of compression,Btu/lb X Capacity, Btu/min<br />

(42.41 Btu/min - hp) X Net refrigeration effect, Btu/lb<br />

Capacity, Btu/min<br />

(42.41 Btu/min - hp) X Coefficient of performance<br />

4.716<br />

Coefficient of performance<br />

Compression horsepower per Ton X 745.7 w - ton/hp<br />

Net refrigeration effect, Btu/lb<br />

Heat of compression, Btu/lb<br />

Refrigerant circulated, lb/min X Net refrigerating effect, Btu/lb<br />

Compressor displacement, cu ft/min X Net refrigerating effect, Btu/lb<br />

Volume of gas entering compressor, cu ft/lb<br />

Compression<br />

horsepower<br />

118.9<br />

-108.8<br />

10.1<br />

= 6.61<br />

X<br />

42.41<br />

Btu/min - hp<br />

X<br />

Heat of compression, Btu/lb<br />

139.0<br />

49.8<br />

Pressure<br />

( p sia)<br />

100 F<br />

40 F<br />

Enthalpy<br />

(Btu/lb)<br />

200<br />

42.41<br />

= 4.716<br />

Net refrigerating<br />

Effect, Btu/lb<br />

Reference: Fluorocarbon Refrigerants Handbook<br />

45.1<br />

SST<br />

SCT<br />

108.8<br />

R-134a<br />

118.9

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