Problem 4.145[Difficulty: 4]CS(moves at speed instantaneous speed U)y x cdGiven:Water jet striking moving vane/cart assemblyFind:Angle θat t = 5 s; Plot θ(t)Solution:Basic equation: Momentum flux in x direction for accelerating CVAssumptions: 1) No changes in CV 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Constant jet relativevelocityThenM−arfx⋅u1ρ−V1⋅A1⋅()⋅u2ρV2⋅A2⋅⋅+=VU−−ρ−⋅A⋅⋅−() cosθ⋅ρ−⋅A⋅⋅+=M−arfx⋅ρ−2A⋅cosθ() 1−⋅=orcosθMarfx⋅ρ−2⋅A⋅−=Sincearfxconstant=thenUarfxt⋅=cosθrfx⋅ρVarfxt⋅−2⋅A⋅−=θacos 1rfx⋅ρrfxt⋅−2⋅A⋅−⎡
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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.