An aluminum cube, initially at 400oC, with a dimension of 2 cm on each side is cooled using 30oC air with a convection coefficient of 210W/m^2*K?.
a. What is the Biot number of this cooling situation?
b. Would lumped capacitance provide an accurate method for analyzing the cooling?
c. How long would it take before the cube cooled to 200oC?