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Building Services Engineering 5th Edition Handbook

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136 Ventilation and air conditioning<br />

If the duct side is l m, then A = l 2 m 2 . Therefore:<br />

l = √ A m<br />

= √ 0.106 m<br />

= 0.325 m<br />

EXAMPLE 5.2<br />

A lecture theatre has dimensions 25 m × 22 m × 6 m high and has 100 occupants; 8 l/s of<br />

fresh air and 25 l/s of recirculated air are supplied to the theatre for each person. A singleduct<br />

ventilation system is used. If 10% of the supply volume leaks out of the theatre,<br />

calculate the room air change rate and the air volume flow rate in each duct.<br />

supply air quantity = (8 + 25) l s × 1m3<br />

Hence,<br />

Now,<br />

Q = 0.033 × 110 m 3 /s<br />

= 3.63 m 3 /s<br />

Q = NV<br />

3600<br />

and hence,<br />

= 0.033 m 3 /s<br />

N = 3600 Q<br />

V<br />

3600 × 3.63<br />

= air changes/h<br />

25 × 22 × 6<br />

= 3.96 air changes/h<br />

Leakage from the theatre is:<br />

Q 1 = 10% × Q<br />

= 0.1 × 3.63 m 3 /s<br />

= 0.36 m 3 /s<br />

10 3 l<br />

Quantity of air extracted from the theatre is:<br />

Q e = 3.63 − 0.36 m 3 /s<br />

= 3.27 m 3 /s

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