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Handbook of air conditioning and refrigeration / Shan K

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11.36 CHAPTER ELEVEN<br />

compression ratio. The EER drops to 11.5. It is preferable to select two DX coils each with a face<br />

area <strong>of</strong> 21 ft 2 (1.95 m 2 ) to reduce energy input.<br />

Because the T con <strong>of</strong> an <strong>air</strong>-cooled condenser affects its total heat rejection Q rej, <strong>of</strong>ten T con is estimated<br />

first when an <strong>air</strong>-cooled condenser is selected to determine Q rej for the compressor–DX coil<br />

combination. If T con is estimated at 115°F (46.1°C), from Fig. 11.21, for a power input <strong>of</strong> 64 kW to<br />

two compressors, the required total heat rejection <strong>of</strong> the selected <strong>air</strong>-cooled condenser is<br />

Q rej � Q rc � 3413P in � 63 � 12,000 � 64 � 3413 � 974,400 Btu / h (285,500 W)<br />

In Fig. 11.21, draw a line from point Y to point Z� whose Q rej � 974,000 Btu/h (285,500 W). Draw<br />

horizontal line Z�Z intersecting the Q rej-T con curve <strong>of</strong> condenser size 120 at Z. At point Z, T con �<br />

113.3°F (45.2°C). If a smaller condenser 095 is selected, then the intersecting point is Z� <strong>and</strong> the<br />

corresponding T con is 117.5°F (47.5°C), which necessitates a higher P in to the compressor.<br />

Using a larger condenser, the final selected capacity <strong>of</strong> this direct-expansion reciprocating<br />

<strong>refrigeration</strong> system may be as follows:<br />

Refrigeration load<br />

Suction temperature<br />

Condensing temperature<br />

Power input to the compressor motor<br />

Total heat rejection Q rej<br />

64 tons (225 kW)<br />

40°F (4.4°C)<br />

114°F (45.6°C)<br />

64 kW<br />

986,000 Btu/h (288,900 W)<br />

For thermostatic expansion valves, the selected capacity must be greater than the cooling capacity<br />

<strong>of</strong> the compressor at a pressure drop across the expansion valve <strong>of</strong> 75 to 120 psi (517 to 827 kPa)<br />

for HCFC-22 at design conditions.<br />

11.8 OPERATING CHARACTERISTICS OF AIR-COOLED,<br />

DIRECT-EXPANSION RECIPROCATING REFRIGERATION SYSTEM<br />

Operating Balance at Design Condition<br />

Consider an <strong>air</strong>-cooled direct-expansion reciprocating <strong>refrigeration</strong> system in a ro<strong>of</strong>top packaged<br />

system with the same characteristics as described in the last section <strong>and</strong> shown in Fig. 11.21. If the<br />

design <strong>refrigeration</strong> load from the evaporation <strong>of</strong> HCFC-22 inside the two DX coils is only 60 tons<br />

or 720,000 Btu/h (211 kW) instead <strong>of</strong> the selected capacity <strong>of</strong> 64 tons (225 kW), then the volume<br />

flow rate <strong>of</strong> the piston displacement V˙<br />

p<br />

to extract suction vapor is greater than that <strong>of</strong> the vaporized<br />

refrigerant in the evaporator. This imbalance lowers the evaporating pressure <strong>and</strong> temperature in the<br />

evaporator <strong>and</strong>, therefore, increases the specific volume vsuc <strong>of</strong> the suction vapor <strong>and</strong> the log-mean<br />

temperature difference as well as the heat transfer to the evaporator until V˙<br />

p is balanced with the<br />

volume flow rate <strong>of</strong> refrigerant evaporized in the evaporator V˙ ev,<br />

cfm (m/s). A new equilibrium between<br />

the compressor <strong>and</strong> evaporator is reached<br />

m˙ ev<br />

m˙ com � V˙ p� v� suc � m˙ ev � V˙ ev<br />

v suc<br />

� 200Q rc<br />

q rf<br />

where � mass flow rate <strong>of</strong> refrigerant evaporized in evaporator, lb/min (kg/min)<br />

Qrc � <strong>refrigeration</strong> load at evaporator, tons<br />

qrf � <strong>refrigeration</strong> effect, Btu/lb<br />

(11.10)<br />

The refrigerant discharged from the compressor then enters the <strong>air</strong>-cooled condenser at mass<br />

flow rate . Because the selected condenser can condense a mass flow rate <strong>of</strong> refrigerant equal to<br />

m˙ com

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