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ID: 1863071 • Letter: #
Question
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The pressure drop delta P = P1 - P2 through a long section of round pipe can be written in terms of the shear stress Tw along the wall. Shown on the figure below is the shear stress acting by the wall on the fluid. The shaded pink region is a control volume composed of the fluid in the pipe between axial locations 1 and 2. There are two dimensionless parameters related to the pressure drop: the Euler number Eu and the Darcy friction factor f. (a) Using the control volume sketched in the figure below, generate a relationship for f in terms of Eu (and any other properties or parameters in the problem as needed) (b) Using the experimental data of the table below, plot the Darcy friction factor as a function of Re. Does f show Reynolds number independence at large values of Re? If so, what is the value off at very high Re? Table Pressure drop Y§ velocity Water at 20 degree C flows through a long, straight pipe The pressure drop is measured along a section of the pipe of length L= 1.3 m as a function of average velocity V through the pipe. The inner diameter of the pipe is D = 10.4 cm.Explanation / Answer
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