The pressure drop, p, over a certain length of horizontalpipe is assumed to be a

Chapter 7, Problem 7.39

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The pressure drop, p, over a certain length of horizontalpipe is assumed to be a function of the velocity, V, of the fluid inthe pipe, the pipe diameter, D, and the fluid density and viscosity, and . (a) Show that this flow can be described in dimensionlessform as a pressure coefficient, Cp = p/(0.5 V2) that dependson the Reynolds number, Re = VD/. (b) The following data wereobtained in an experiment involving a fluid with = 2 slugs/ft3, = 2 103 lb s/ft2, and D = 0.1 ft. Plot a dimensionless graphand use a power law equation to determine the functional relationshipbetween the pressure coefficient and the Reynolds number.(c) What are the limitations on the applicability of your equationobtained in part (b)?V, ft/s p, lb/ft2 3 192 11 704 17 1088 20 1280

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