Question

You have a vertical plate which is 20 cm square and 0.75 cm thick. The plate has a thermal conductivity of 4 W/mK. The top edge of the plate is kept at a temperature of 325⁰C, and the bottom edge is kept at a temperature of 275⁰C. The vertical edges of the plate are insulated, but the faces of the plate are in contact with a 25⁰C fluid through a film coefficient of 10 W/m2K. What is the total amount of heat injected into the plate from the top edge?

the nodes are 10 cm apart