Problem 4.180

# Problem 4.180 - Problem 4.180[Difficulty 5 CS moving at...

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Problem 4.180 [Difficulty: 5] CS moving at speed U c d Given: Water jet striking moving disk Find: Motion of disk; steady state height Solution: Basic equations: Bernoulli; Momentum flux in z direction (treated as upwards) for linear accelerating CV p ρ V 2 2 + gz + constant = Assumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure 4) Uniform flow 5) velocities wrt CV (All in jet) The Bernoulli equation becomes V 0 2 2 g0 + V 1 2 2 gh + = V 1 V 0 2 2g h = (1) V 1 15 m s 2 2 9.81 × m s 2 03 () m + = V 1 12.9 m s = The momentum equation becomes M g Ma rfz w 1 ρ V 1 A 1 w 2 ρ V 2 A 2 + = V 1 U ρ V 1 U A 1 0 + = With a rfz d 2 h dt 2 = and U dh dt = we get M g M d 2 h dt 2 ρ V 1 dh dt 2 A 1 = Using Eq 1, and from continuity V 1 A 1 V 0 A 0 = d 2 h dt 2 V 0 2 h dh dt 2 ρ A 0 V 0 MV 0 2 h g = (2) This must be solved numerically!

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## This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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Problem 4.180 - Problem 4.180[Difficulty 5 CS moving at...

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