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Consider a large plane wall of thickness L 04 m thermal conductivity k 18 WmK and surface area A 30 m2 The left side of the wall is maintained at a constant temperature of

Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 1.8 W/m·K, and surface area A = 30 m2. The left side of the wall is maintained at a constant temperature of T1 = 90°C while the right side loses heat by convection to the surrounding air at T = 25°C with a heat transfer coefficient of

h = 24 W/m2·K. Assuming constant thermal conductivity and no heat generation in the wall,

(a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall,

(b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the rate of heat transfer through the wall.

Jul 21 2020 View more View Less

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