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Handbook of air conditioning and refrigeration / Shan K

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LOAD CALCULATIONS 6.31<br />

Internal load density (ILD), W/ft 2 (W/m 2 ), indicates the total internal heat gains <strong>of</strong> people, lights,<br />

<strong>and</strong> equipment, <strong>and</strong> it can be calculated as<br />

where SHGp, LHGp � sensible <strong>and</strong> latent heat gains for occupants, respectively, Btu/h (W)<br />

Afl � floor area, ft2 (m2 )<br />

WA,l, WA,e � lighting <strong>and</strong> equipment power density, respectively, W/ft 2 (W/m2 ILD �<br />

)<br />

SHGp � LHGp � WA,l � WA,e 3.413 Afl (6.41)<br />

Both infiltration sensible heat gain q inf, s <strong>and</strong> infiltration latent heat gain q inf, l, in Btu/h (W), are instantaneous<br />

space cooling loads; they also can be expressed as<br />

Q inf, s � q inf, s Q inf, l � q inf, l (6.42)<br />

where Q inf, s, Q inf, l � infiltration sensible <strong>and</strong> latent cooling loads, respectively, Btu/h (W).<br />

Example 6.1. A return <strong>air</strong> plenum in a typical floor <strong>of</strong> a multistory building has the following<br />

construction <strong>and</strong> operating characteristics:<br />

Wattage <strong>of</strong> electric lights<br />

Return <strong>air</strong> volume flow rate<br />

Density <strong>of</strong> return <strong>air</strong> � r<br />

Fraction <strong>of</strong> heat to plenum F lp<br />

U values: exterior wall <strong>of</strong> plenum<br />

suspended ceiling<br />

floor<br />

Area <strong>of</strong> ceiling <strong>and</strong> floor<br />

Area <strong>of</strong> exterior wall <strong>of</strong> plenum<br />

CLF <strong>of</strong> electric lights<br />

CLTD <strong>of</strong> exterior wall <strong>of</strong> plenum<br />

Space temperature<br />

1.5 W/ft 2 (16.1 W/m 2 )<br />

11,800 cfm (334 m 3 /min)<br />

0.073 lb/ft 3 (1.168 kg/m 3 )<br />

0.5<br />

0.2 Btu/h�ft 2 �°F (1.136 W/m 2 �°C)<br />

0.32 Btu/h�ft 2 �°F (1.817 W/m 2 �°C)<br />

0.21 Btu/h�ft 2 �°F (1.192 W/m 2 �°C)<br />

11,900 ft 2 (1106 m 2 )<br />

1920 ft 2 (178 m 2 )<br />

1.0<br />

24°F (13.3°C)<br />

75°F (23.9°C)<br />

Determine the return <strong>air</strong> plenum temperature <strong>and</strong> the space cooling load from the electric lights<br />

when they are recess-mounted on the ceiling <strong>and</strong> the ceiling plenum is used as a return plenum.<br />

Solution. From Eq. (6.17),<br />

q lp � F lpq s, l � 0.5 � 1.5 � 11,900 � 3.413 � 30,461 Btu/h (W)<br />

Since 60V˙ r �r cpa � 60 � 11,800 � 0.073 � 0.243 � 12,559 Btu / h��F,<br />

<strong>and</strong> given Eq. (6.22), the<br />

temperature <strong>of</strong> return <strong>air</strong> in the return plenum is<br />

� 75 �<br />

T p � T r �<br />

� 75 � 39,933<br />

18,866<br />

q lp � U wp A wpCLTD wp<br />

60V˙ r � r c pa � U cl A cl � U flA fl<br />

30,717 � 0.2 � 1920 � 24<br />

12,559 � 0.32 � 11,900 � 0.21 � 11,900<br />

� 77.12�F (25.07�C)

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