The velocity profile for a boundary layer for flow over a flat plate is give by the expression: (, ) 3 ( 1 = - where the boundary layer thickness & is a function of x and is given by the expression: 280vx 8(x) = 13 (a) Develop the expression for the local drag coefficient. Next, the temperature profile in a thermal boundary layer for flow over a flat plate is give by the expression: 3 T(x, y)- Ts3 y 2 Sth, y To - Ts 2 Sth, Assume that the thickness of the thermal boundary layer &th is the function of the x and is given by the expression: Sth (x) = 4.53 Re Pr1/3 (b) Develop the expression for the local heat transfer coefficient. (c) Develop the expression for the average heat transfer coefficient over the length L.