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Building Services Engineering 5th Edition Handbook

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140 Ventilation and air conditioning<br />

Some engineers prefer to calculate the mass flow rate of air flow through the air-conditioned<br />

space. This is easily found by multiplying the volume flow rate by the density of air at that<br />

location, thus,<br />

supply air mass flow rate = 2.13 m3<br />

s<br />

× 1.205 kg = 2.57 kg/s<br />

m3 Air mass flow rate does not change with temperature, volume flow does.<br />

Q = NV<br />

3600<br />

N = 3600 Q<br />

V<br />

3600 × 2.13<br />

= air changes/h<br />

20 × 15 × 3.2<br />

= 8 air changes/h<br />

Between 4 and 20 air changes/h are likely to create fresh air circulation through an office without<br />

causing draughts and should be suitable for the application.<br />

EXAMPLE 5.5<br />

A room has a heat loss in winter of 32 kW and a supply air flow rate of 3.5 m 3 /s. The<br />

room air temperature is to be maintained at 22 ◦ C. Calculate the supply air temperature to<br />

be used.<br />

For winter, the equation is:<br />

Q =<br />

SH × 273 + t s<br />

t s − t r 357<br />

This can be rearranged to find the supply air temperature t s required:<br />

Q × 357(t s − t r ) = SH(273 + t s )<br />

Q × 357t s − Q × 357t r = 273SH + SH × t s<br />

Q × 357t s − SH × t s = 273SH + Q × 357t s<br />

Thus, for winter:<br />

t s (Q × 357 − SH) = 273SH + Q × 357t r<br />

In this example:<br />

t s =<br />

t s = 273SH + 357Qt r ◦ C<br />

357Q − SH<br />

273 × 32 + 357 × 3.5 × 22<br />

357 × 3.5 − 32<br />

= 29.75 ◦ C

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