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Air at T∞2 (oC) is flowing over the roof surface of a corridor with uniform velocity of Vair (km/hr). The length and width of the room are respectively, 8m and 3m. The roof consists of 5-cm concrete brick (kbrick= 38 W/m.K). It is demanded to decrease the rate of heat transfer by more than 50% via using an insulation layer of (kins= 0.03 W/m.K).
Determine
(a) The adequate thickness (x) of the insulation required when the reduction in heat transfer is 55%, 60%, 65%, 70%, 75%, 80%, 85%, 90%,95%, and 99%.
(b) Plot a graph showing the trend of the insulation thickness (x) vs. the reduction percent.
(c) Select the insulation thickness that you believe is realistic to use.
Properties of Air: k = 0.03095 W/m K; v = 2.306 x 10-5 m2/s; Pr = 0.7111
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