A one-dimensional plane wall of thickness 2L = 100 mm experiences uniform thermal energy generation of q = 975 W/m^3 and is convectively cooled at x = ±50 mm by an ambient fluid characterized by T∞ = 32.0°C. If the steady-state temperature distribution within the wall is T(x) = a (L^2 - x^2) + b where a = 10°C/m^2 and b = 30°C, what is the thermal conductivity of the wall? What is the value of the convection heat transfer coefficient, h?
The thermal conductivity of the wall, in W/m·K:
The convection heat transfer coefficient, in W/m^2·K: