Question

Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, U. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.5-ft-diameter pipe through which water flows at the rate of 2.0 ft3/s. 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 Diameter D 0 Model data 0.5 1.5 Flowrate, Q, ft3s Tw .048 lb/ft2Please Show work

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