The pressure rise, p = p2 p1, across the abrupt expansionof Fig. P7.38 through which a

Chapter 7, Problem 7.38

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The pressure rise, p = p2 p1, across the abrupt expansionof Fig. P7.38 through which a liquid is flowing can beexpressed asp = f(A1, A2, , V1)where A1 and A2 are the upstream and downstream cross-sectionalareas, respectively, is the fluid density, and V1 is the upstreamvelocity. Some experimental data obtained with A2 = 1.25 ft2,V1 = 5.00 ft/s, and using water with = 1.94 slugs/ft3 are givenin the following table:A1 (ft2) 0.10 0.25 0.37 0.52 0.61p (lb/ft2) 3.25 7.85 10.3 11.6 12.3Plot the results of these tests using suitable dimensionless parameters.With the aid of a standard curve fitting program determinea general equation for p and use this equation to predict pfor water flowing through an abrupt expansion with an area ratioA1/A2 = 0.35 at a velocity V1 = 3.75 ft/s.

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