Ambient at K 298 ; | | panel + c - + 3.39 A coating on a panel surface is cured by radiant energy from a heater. The temperature of the coating is determined by radiative and convective heat transfer processes. If the radiation is treated as diffuse and gray, the following nonlinear system of simultaneous equations determine the unknowns J, Th, J., T: -coating 5.67 x 10$T + 17.417.-J. = 5188.18 J.-0.71J+ 7.467 = 2352.71 5.67 x 10 T + 1.8657,- JA = 2250 JA-0.71J. + 7.46T, = 11093 where J. and J. are the radiosities of the heater and coating surfaces, respectively, and T, and T are the respective temperatures. (a) Show that the following iteration functions can be used for solving the nonlinear system of equations with the fixed-point iteration method: PJ.-17.417. + 5188.1871/4 2250 +Jy - 1.8657,71/4 T = TH 5.67 x 10 J. = 2352.71 +0.71J.-7.467. Jo = 11093 +0.71J.-7.46T, (6) Solve the nonlinear system of equations with the fixed-point iteration method using the iteration func- tions from part (a). Use the following initial values: T, = T. = 298 K, J. = 3000 W/m, and Jo = 5000 W/m. Carry out 100 iterations, and plot the respective values to observe their conve gence. The final answers should be T. = 481 K, J. = 6222 W/m, T. = 671 K, JA = 10504 W/m. 5.67 x 10-8 = nver