Chapter 6, Problem 6.12P

Air at a free stream temperature of $T_{\infty }=20°\text{C}$ is in parallel flow over a flat plate of length $L=5\text{m}$ and temperature $T_s=90°\text{C}\text{.}$ However, obstacles placed in the flow intensify mixing with increasing distance x from the leading edge, and the spatial variation of temperatures measured in the boundary layer is correlated by an expression of the form $T\left(°\text{C}\right)=20+70\exp \left(-600xy\right),$ where x and y are in meters. Determine and plot the manner in which the local convection coefficient h varies with x. Evaluate the average convection coefficient $\bar{h}$ for the plate.