The 150-mm-thick wall of a gas-fired furnace is constructed of fireclay brick (k 1.5 W/m∙ K, 2600 kg/m3, ρcp = 1000 J/kg ∙ K) and is well insulated at its outer surface. The wall is at a uniform initial temperature of 20°C, when the burners are fired and the inner surface is exposed to products of combustion for which T∞ = 950°C and h = 100 W/m2 ∙ K.
(a) How long does it take for the outer surface of the wall to reach a temperature of 750°C?
(b) Plot the temperature distribution in the wall at the foregoing time, as well as at several intermediate times.
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