Consider a large plane wall of thickness L = 0 3. ft and thermal conductivity k = 1.2 Btu/...

Consider a large plane wall of thickness L = 0 3. ft and thermal conductivity k = 1.2 Btu/h·ft °Fin space. The wall is covered with a material having an emissivity of ε = 0.80 and a solar absorptivity of αs = 0.60. The inner surface of the wall is maintained at 520 R at all times, while the outer surface is exposed to solar radiation that is incident at a rate of  The outer surface is also losing heat by radiation to deep space at 0 R, Using a uniform nodal spacing of Δx = 0.1 ft, (a) obtain the finite difference formulation for steady one-dimensional heat conduction and (b) determine the nodal temperatures by solving those equations. Answers: (b) 528 R, 535 R. 543 R

FIGURE P 5-135 E