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Prandtl's student Blasius deduced that the velocity profiles in a flat plate boundary layer obey the similarity principle i.e. if rescaled accordingly, they should collapse to a single curve. Re-plot the profiles from exercise 2 in terms of the Blasius variables in a different figure. Also plot the corresponding values from the Blasius solution in this figure. How well does the FLUENT solution obey the similarity principle?

 

Exercise 4 -

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Quantitative Explanation of the Velocity Profile Overshoot

First order boundary layer theory says that the flow outside of the boundary layer remains undisturbed, but we see that FLUENT predicts an overshoot in the velocity due to the presence of the boundary layer since the flow accelerates. This acceleration and overshoot can be attributed to the displacement thickness of the boundary layer. In this exercise, modify the flat plate to account for this displacement thickness, plot the velocity at the outlet, and compare your results to the flat plate solution from the tutorial. 

You will need to create a geometry file that can imported into DesignModeler. There are several ways to do this but one way to do so is to create the curve for the boundary layer displacement thickness in Excel and then connect the appropriate points together. Remember, DesignModeler takes in "zones" which will be your first column so that it can identify the edges in the geometry. The second column will be the points in those zones DesignModeler connects together. The third ,  fourth, and fifth columns are your x, y, z points respectively. Since this problem is 2D, the z column should be all 0. 

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