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Building Services Engineering 5th Edition Handbook

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248 Condensation in buildings<br />

Temperature (°C)<br />

t ai<br />

t a<br />

1<br />

Q f (W)<br />

R si<br />

2<br />

3<br />

R so<br />

4<br />

Thermal conductivity<br />

λ (W/mK)<br />

5<br />

I<br />

Thickness I (m)<br />

10.2 Temperature gradient through a solid construction.<br />

and,<br />

Q f = λ l<br />

W<br />

m 2 K × A m2 × (t 2 − t 4 ) K<br />

and,<br />

Q f = 1<br />

R so<br />

W<br />

m 2 K × A m2 × (t 4 − t 5 ) K<br />

The heat flow rate Q f can easily be evaluated from U, t ai and t ao . The only unknowns in the<br />

other equations are the second temperatures t 2 and t 4 . An intermediate temperature t 3 can be<br />

calculated at half the concrete thickness by using l/2:<br />

Q f = 2λ<br />

l<br />

W<br />

m 2 K × A m2 × (t 2 − t 3 ) K<br />

If the wall area is taken as 1 m 2 , then:<br />

and,<br />

Q f = 1<br />

R si<br />

(t 1 − t 2 )<br />

t 2 = t 1 − Q f R si<br />

Similarly:<br />

Q f = λ l (t 2 − t 4 )<br />

and,<br />

t 4 − t 2 − l λ Q f

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