The steady-state temperature distribution in a onedimensional wall of thermal conductivity 50 W/m·K and thickness 50 mm is observed to be T(°C) - a + bx2, where a - 200°C- b - -2000°C/m2, and x is in meters.
(a) What is the heat generation rate in the wall?
(b) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate?