A 1-mm-diameter horizontal platinum wire of emissivity = 0.25 is operated in saturated water at 1-atm

A 1-mm-diameter horizontal platinum wire of emissivity ε = 0.25 is operated in saturated water at 1-atm pressure.

(a) What is the surface heat flux if the surface temperature is T_s = 800 K?

(b) For emissivities of 0.1, 0.25, and 0.95, generate a log-log plot of the heat flux as a function of surface excess temperature, ∆T_e == T_s, - T_sat, for 150 ≤ ∆T_e ≤ 550 K. Show the critical heat flux and the Leiden frost point on your plot. Separately, plot the percentage contribution of radiation to the total heat flux for 150 ≤ ∆T_e ≤ 550 K.