Helium at a free stream temperature of T= 25C is in parallel flow over a flat plate of length L = 3 m and temperature T, = 85C. 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(C) = 25 + 60 exp (-600xy), where x and y are in meters. (a) Determine and plot the manner in which the local convection coefficient h varies with x. (b) Evaluate the average convection coefficient h for the plate. PROPERTIES: Helium (T, 85C = 358 K), k = 0.173 W/m-K. T(x,y) = 25 + 60exp(-600xy) T= 25C L = 3 m