Problem 4.114 - Problem *4.114 [Difficulty: 3] CS Given:...

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Problem *4.114 [Difficulty: 3] CS c d Given: Water jet striking disk Find: Expression for speed of jet as function of height; Height for stationary disk Solution: Basic equations: Bernoulli; Momentum flux in z direction p ρ V 2 2 + gz + constant = Assumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow The Bernoulli equation becomes V 0 2 2 g0 + V 2 2 gh + = V 2 V 0 2 2g h = VV 0 2 h = Hence M g w 1 ρ w 1 A 1 () = ρ V 2 A = But from continuity ρ V 0 A 0 ρ V A = so VA V 0 A 0 = Hence we get Mg ρ V V A
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