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Nusselt Number Calculation

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I am trying to calculate the average Nusselt # over a flat plate vs. Reynolds #. Thus I need to take the average of the derivative of temperature in the y direction at the plate for the various Reynolds #'s. Can anyone help me out with this?

In the end, I want to plot Nusselt # vs. Reynolds #. Thus I need to take the average and then multiply by a constant. I am trying to verify some of the empirical formulas for Nusselt #, and Reynolds #. I need to make sure I can do this before I give it to my undergrads as a study in simple introduction to forced convection

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