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Handbook of air conditioning and refrigeration / Shan K

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28.18 CHAPTER TWENTY-EIGHT<br />

calculated as<br />

T fc,p � T rp �<br />

� 78 �<br />

where Q rsp � zone sensible cooling load at part load, Btu/h (W)<br />

T rp � zone <strong>air</strong> temperature at part load, °F (°C)<br />

(28.16)<br />

At part-load operation, the relative humidity <strong>of</strong> supply <strong>air</strong> leaving the fan coil � fc,p may vary between<br />

80 <strong>and</strong> 90 percent. If � fc,p � 88 percent, point fcp can be plotted on the psychrometric chart<br />

as shown in Fig. 28.1b. From the chart, h fcp � 27.2 Btu/lb (63.3 kJ/kg).<br />

8. During cooling mode part-load operation, the sensible heat ratio <strong>of</strong> space <strong>conditioning</strong> line<br />

SHR s � 13,100/15,900 � 0.82. Draw line fcp-rp from fcp with a sensible heat ratio <strong>of</strong> the space<br />

<strong>conditioning</strong> line at part load SHR sp � 0.82. Line fcp-rp intersects the zone temperature line T rp at<br />

rp. Therefore, point rp can be determined. From the psychrometric chart, � rp � 57.5 percent.<br />

9. When the space cooling load is reduced to 50 percent <strong>of</strong> design load, if the temperature <strong>of</strong><br />

chilled water supplied to fan coils T w,f <strong>and</strong> that to the outdoor <strong>air</strong> AHU T w,p are reset to 50°F (10°C)<br />

at part-load operation, <strong>and</strong> the chilled water temperature increase in the cooling coil <strong>of</strong> the outdoor<strong>air</strong><br />

AHU is still 10°F, then the condition <strong>of</strong> supply <strong>air</strong> from the outdoor <strong>air</strong> AHU at part-load point<br />

psp can be determined as in full-load operation, T psp � 60 � 2 � 4 � 66°F (18.9°C), <strong>and</strong> w psp �<br />

0.0110 lb/lb (0.0110 kg/kg).<br />

Draw line psp-rp. The condition <strong>of</strong> the mixture at part load, point mp, can be determined from<br />

the following relationship:<br />

(28.17)<br />

From the psychrometric chart, T mp � 75.3°F (24.1°C), <strong>and</strong> w mp � 0.0116 lb/lb (0.0116 kg/kg).<br />

Because T cfp � T mp � 0.5°F � 75.3 � 0.5 � 75.8°F, <strong>and</strong> w cfp � w mp � 0.0116 lb/lb, from the<br />

psychrometric chart, h cfp � 31.0 Btu/lb (72.1 kJ/kg).<br />

10. Fan-coil cooling coil load at part load Q cfcp <strong>and</strong> sensible coil load at part load Q sfcp, both in<br />

Btu/h (W), can be calculated as<br />

� 60(4)(300)(0.7)(0.073)(31.0 � 27.2) � 13,980 Btu/h (4096 W)<br />

� 60(4)(300)(0.7)(0.073)(0.243)(75.8 � 63.3) � 11,176 Btu/h (3275 W)<br />

(28.18)<br />

(28.19)<br />

11. At winter heating mode design load operation, if only two fan-coil units are operated <strong>and</strong><br />

h fg,o � 1061 Btu/lb (2468 kJ/kg), the humidity ratio difference between zone <strong>air</strong> <strong>and</strong> the fan-coil<br />

supply <strong>air</strong> is<br />

w r � w s �<br />

�<br />

Q rl<br />

Q rsp<br />

60 � 0.7V˙ fc� cf c pa<br />

Q cfcp � 60V˙ fc� cf (h cfp � h fcp)<br />

Q sfcp � 60V˙ fc� cf c pa(T cfp � T fcp)<br />

60V˙ fc� hfh fg,o<br />

rp-mp<br />

rp-ps � V˙ p<br />

V˙ fc<br />

0.5(26,200)<br />

60 � 4 � 300 � 0.7 � 0.073 � 0.243<br />

2700<br />

�<br />

60 � 2 � 300 � 0.073 � 1061<br />

200<br />

4 � 300 � 0.7<br />

� 63.3�F(17.4�C)<br />

� 0.24<br />

� 0.00097 lb/lb (0.00097 kg/kg)<br />

(28.20)

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