Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 2.3 W/m · °C, and surface area A = 20 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 = 40 W/m2 · °C. 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. (c) Evaluate the rate of heat transfer through the wall.
Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 2.3 W/m · °C, and
surface area A = 20 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 = 40 W/m2
· °C. 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.
(c) Evaluate the rate of heat transfer through the wall.
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