Question: Problem 3 (12 pts) Water with constant density p enters a straight pipe with a uniform velocity U. The flow velocity changes to a

Problem 3 (12 pts) Water with constant density p enters a straight

Problem 3 (12 pts) Water with constant density p enters a straight pipe with a uniform velocity U. The flow velocity changes to a parabolic profile u(r) = Umax [1 (r/R)] after a horizontal distance L. The pipe has a radius R. Given: p, U, R, L. Questions: (1) (6 pts) Perform control volume analysis to determine the maximum velocity Umar for the parabolic profile. (2) (6 pts) Calculate the momentum flux associated with the parabolic velocity profile. U R X L- u(r)

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