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Question

Air at a free stream temperature of $T_{\mathrm{x}}=20^{\circ} \mathrm{C}T_{\mathrm{x}}=20^{\circ} \mathrm{C}$ is in parallel flow over a flat plate of length L=5 m and temperature $T_{s}=90^{\circ} \mathrm{C}$. 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 $T\left(^{\circ} \mathrm{C}\right)=20+70$exp (-600xy), 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.

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