Consider water flows at a velocity u over a flat plate of length L (shown below). Assume that transition from laminar to turbulent flow occurs at a point on the plate atx. The temperature of the flow outside the boundary layer is T, and the plate is at temperature T.. The following equations can be used to calculate the Nusselt number of laminar and turbulent flows over a flat plate. (25 pts) 1/2 Nu = 0.3320 Re, / Pr3, 4/5 Pr/3, 4/5 Pr3, Nu = 0.0296 Re where Laminar 8, (x) L Laminar flow Turbulent flow Turbulent Schematic diagram of a boundary layer over a flat plate 1. Prove that the average Nusselt number from the leading edge to x= L can be calculated as follows. (15 pts) Nu, (0.037 Re5-4) Pr/3, A=0.037 Re5-0.664 Rel