Solar flux of 900 W/m2 is incident on the top side of a plate whose surface has a solar absorptivity of 0.9 and an emissivity of 0.1. The air and surroundings are at 17 C and the convection heat transfer coefficient between the plate and air is 20 W/m2 K. Assuming that the bottom side of the plate is insulated, determine the steady-state temperature of the plate.

Energy Equation ● Ein - Eout + Egen = Estored – Does this refer to a Control Volume Jeff Luttrell MAE 3314 Spring 2016 1 Fourier's Law of Conduction ● In conduction, the flow of heat energy is proportional to the space derivative of the temperature – Heat Flow vs Heat Flux dT qx=−k A Eq. 2.1 dx qx dT q''x= =−k Eq. 2.2 A dx Jeff Luttrell MAE 3314 Spring 2016 2 Newton's Law of Cooling ●In convection, the flow of heat energy is proportional to a temperature difference – Heat Flow vs. Heat Flux q q''=