A fuel cell cooling system is designed to effectively dispel 50 kW per m2 to the environment to maintain a constant internal temperature (800 C). The emissivity and absorptivity of the surfaces on the exposed fuel cell are both 0.5. The cooling system adjusts the net convective heat transfer coefficient seen by the exposed surfaces to maintain its constant temperature by changing the air flow rate.

(a) Plot the convective and radiative heat fluxes leaving the fuel cell if the air temperature surrounding the fuel cell ranges from 10-200 C.

(b) What are the maximum and minimum convective heat transfer coefficients needed to maintain the 50 kW of heat dissipation over the temperature range in part A.