Question 3: Air is flowing at average velocity, um. between two large parallel plates is driven...

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Question 3: Air is flowing at average velocity, um. between two large parallel plates is driven by pressure gradient, Ap/L = 0.984 Pa/m, where the distance between the plates, 2yo = 0.1 m. Assume the flow is fully developed and turbulent with moderate pressure gradient, where the wake function can be considered zero. The Reynolds number of the flow, Rey 2youm/v. Given the air density, p = 1.23 kg/m and kinematic viscosity, v = 1.5 x 10-5 m2/s. (a) Using the law of wall, u+= (1/k) Iny++ C, where, = 0.40, and, C = 5.5, are empirical constants, derive the implicit formula of the friction factor, f, in term of Reynolds number, Rey. (b) Determine the wall shear stress, friction velocity, average velocity, Reynolds number, and friction factor. (c) Repeat the problem if, k = 0.41, and, C = 5.0. Question 3: Air is flowing at average velocity, um. between two large parallel plates is driven by pressure gradient, Ap/L = 0.984 Pa/m, where the distance between the plates, 2yo = 0.1 m. Assume the flow is fully developed and turbulent with moderate pressure gradient, where the wake function can be considered zero. The Reynolds number of the flow, Rey 2youm/v. Given the air density, p = 1.23 kg/m and kinematic viscosity, v = 1.5 x 10-5 m2/s. (a) Using the law of wall, u+= (1/k) Iny++ C, where, = 0.40, and, C = 5.5, are empirical constants, derive the implicit formula of the friction factor, f, in term of Reynolds number, Rey. (b) Determine the wall shear stress, friction velocity, average velocity, Reynolds number, and friction factor. (c) Repeat the problem if, k = 0.41, and, C = 5.0.