Problem 4.134 - Problem 4.134 [Difficulty: 3] CS (moves to...

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Problem 4.134 [Difficulty: 3] CS (moves to left at speed V c ) y x c d R x V j + V c V j + V c t R Given: Water jet striking moving cone Find: Thickness of jet sheet; Force needed to move cone Solution: Basic equations: Mass conservation; Momentum flux in x direction Assumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Jet relative velocity is constant Then ρ V 1 A 1 ρ V 2 A 2 + 0 = ρ V j V c + () π D j 2 4 ρ V j V c + 2 π R t + 0 = (Refer to sketch) Hence t D j 2 8R = t 1 8 4in 2 × 1 9in × = t 0.222 in = Using relative velocities, x momentum is R x u 1 ρ V 1 A 1 u 2 ρ V 2 A 2
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