For a one-dimensional wall (a slab) with a thickness of 60 mm and a thermal conductivity of 27 W/mK, the temperature distribution is given by T(x) = a + bx + cx^2 where a = 300 C, b = 160 C/m, and c = -2000 C/m^2. The x is in meters.
a) Determine the internal volumetric heat generation rate.
b) What are the heat fluxes on the two boundary surface?
c) Please show how the two heat fluxes are related to internal heat generation rate.
d) If the left side wall surface is experiencing a strong wind convection and the heat transfer coefficient is 15.6 W/m^2K, what is the wind temperature.