Consider a large plane wall of thickness L = 0.4 m, thermal conductivity %3D k= 2.3 W/m - °C, and surface area A = 20 m?. The left side of the wall is maintained at a constant temperature of T1=80°C while the right side loses heat by convection to the surrounding air at To = 15°C with a heat transfer coefficient of h = 24 W/m? - °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, and (c) evaluate the rate of heat transfer through the wall. Answer: (c) 6030 W %3D

Consider a large plane wall of thickness L = 0.4 m, thermal conductivity %3D k= 2.3 W/m - °C, and surface area A = 20 m?. The left side of the wall is maintained at a constant temperature of T1=80°C while the right side loses heat by convection to the surrounding air at To = 15°C with a heat transfer coefficient of h = 24 W/m? - °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, and (c) evaluate the rate of heat transfer through the wall. Answer: (c) 6030 W %3D