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Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D,

  

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, v. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the T, 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 ft/s. 0,7 Diameter = D 0.6 * 0.5 0.4 Model data (a) * 0.3 E 0.2 0.1 1 Flowrate, Q. t'is 0.5 1.5 (b) = Ib/ft? of Wall shear stress, F, Ibift?

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