Consider flow over a flat plate with an extremely rough surface and more warmer than the outside environment. Experimentally, it was determined that a good approximation for The heat transfer coefficient can be given by the following expression: hx(x) = 0.5x-^(0.5) a) Develop an expression for the average heat transfer coefficient for a plate of length x. b) For L = 50 cm, graph the relationship hx and hx c) What does this difference represent? d) Discuss the importance of the thermal boundary layer in convective heat transport.