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Using the analyses of Example 6.1 and Problem 6.25, plot the discrepancy (percent) between the flow rates obtained from assuming uniform flow and the free vortex (irrotational) profile as a function of r2/r1.
25. Repeat Example 6.1, but with the somewhat more realistic assumption that the flow is similar to a free vortex (irrotational) profile, Vθ = c/r (where c is a constant), as shown in Fig. P6.25. In doing so, prove that the flow rate is given by
and w is the depth of the bend.
P6.25
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