Helium at a free stream temperature of T∞=25°C is in parallel flow over a flat plate of length L=3 m and temperature Ts=

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Helium at a free stream temperature of T∞=25°C is in parallel flow over a flat plate of length L=3 m and temperature Ts=85°C. 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(−525xy) where xand y are in meters. Determine the local convection coefficient, in W/m2·K, at x=L. Evaluate the average convection coefficient h⎯⎯, in W/m2·K, for the plate.