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How do I solve this problem? 豕Fluid flows between two horizontal parallel plates, a distance L…


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How do I solve this problem? 豕Fluid flows between two horizontal parallel plates, a distance L…

How do I solve this problem?

豕Fluid flows between two horizontal parallel plates, a distance L apart. The low rplate moves at speed u(0) Up and there is an imposed constant pressure gradient dp/dx. A stagnation pitot tube is inserted and placed at the centerline as shown and a static pressure tap is located at the same x location in the upper plate; both fill with the flowing fuld of density ρ In the coordinate system shown and expressing answers in at most the variables y, p, μ, L, Up, and dp/dx, determine: (a) the velocity distribution u(y); (b) the shear stress at both plates; (c) the height Ah difference in the total and static tap manometers if dp/dx-0; (d) the value of dp/dx which would make the shcar stress at the stationary upper plate be zcro?; Approx. Ans: (a) u C1-C2y+C3 y: (b)t(0)-CluUp-C2pl. (o) Ah Up/g: (d) dp/dx HUpA2 Up
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