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Example $12\mathrm{.}7$ Many early reactors were built with flat plate aluminum fuel elements. Calculate the film heat transfer coefficient and coefficient of friction for flow across a flat plate $0\mathrm{.}5$ meter in length at a water velocity of $1\mathrm{.}5\frac{m}{s}.$ The bulk water temperature is $350$ K $,$ and the fuel plate surface temperature is $365$ K $.$ Assume a constant heat flux from the plate.