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Question: 2 ur depth b consider a fluid flowing in a...

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2 ur depth b Consider a fluid flowing in a rectangular duct of length, L, as shown. The velocity of the fluid entering the duct is uniform over the duct inlet and of magnitude ur. The velocity of the fluid leaving the duct varies linearly with y with a maximum value ug) a) If the fluid is incompressible, find a relationship between um and ur. Hint: find u(x.y)x-t first. Ans: um=2ur b) If u(x.y)0.5u(x.y)n L, find a relationship between um and u. Ans: um u If the fluid is incompressible, express the x-component of the net total surface force,Fs x-comp, in terms of the inlet velocity, density and cross-sectional area. c) Ans: slx-comp3 pabu? d) If the fluid is water at 60F, ur 3 f/s, and a 0.5 ft, b- 1 ft, find the x-component of the surface force. Ans: 2 89 lhe
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