Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/mK) subjected to convection on both sides with T1 = 27 Co and h1 = 5 W/m2K on the inside, and T2 = 8 Co and h2 = 12 W/mK on the outside. Assuming constant thermal conductivity with no heat generation and negligible radiation:
(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 temperatures at the inner and outer surfaces of the wall.