A) Consider a heated sphere at 127oC. Using 27oC air as the ambient fluid plot the convection coefficient of heat transfer, h, due to free convection as a function of the diameter (for 0.1 mm < D < 100. mm). Use log-log plot. include typed derivation and show all units. B) Consider a heated sphere of diameter D = 1.0 cm and emissivity  = 0.8 at Ts (in oC) in an ideal gas with surroundings at 27oC. On a single plot:
a. Plot the heat transfer (in Watts) due to free convection for 30oC < Ts < 400oC. b. Plot the heat transfer (in Watts) due to radiation for 30oC < Ts < 400oC. c. Plot the combined heat transfer (in Watts) for 30oC < Ts < 400oC. Use the following fluid properties (assumed to be constant): k = 0.0263 W/(m oC),  = 15.9 x 10-6 m2/s and Pr = 0.71.