Problem *4.127[Difficulty: 3]CS(moves at speed U)yxcdRxRyGiven:Water jet striking moving vaneFind:Force needed to hold vane to speed U = 5 m/sSolution:Basic equations: Momentum flux in x and y directionsAssumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Jet relative velocity isconstantThenRxu1ρ−V1⋅A1⋅()⋅u2ρV2⋅A2⋅⋅+=VU−−ρ−⋅A⋅⋅−() cosθ⋅ρ−⋅A⋅⋅+=Rxρ−2A⋅cosθ() 1−⋅=Aπ4401000m⋅⎛⎝⎞⎠2⋅=A1.26103−×m2=Using given dataRx1000kgm3⋅255−ms⋅⎡⎣⎤⎦2×1.26×103−×m2⋅cos 150 deg⋅1−×Ns2⋅kg m⋅×=Rx940
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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.