Problem 4.77[Difficulty: 2]Rxy xCScdGiven:Water flow through elbowFind:Force to hold elbowSolution:Basic equation: Momentum flux in x direction for the elbowAssumptions: 1) Steady flow 2) Incompressible flow 3) Uniform flowHenceRxp1gA1⋅+p2gA2⋅+V1ρ−V1⋅A1⋅()⋅V2ρV2⋅A2⋅⋅−=Rxp1g−A1⋅p2gA2⋅−ρV12A1⋅V22A2⋅+⎛⎝⎞⎠⋅−=From continuityV2A2⋅V1A1⋅=soV2V1A1A2⋅=V1D1D2⎛⎜⎝⎞⎠2⋅=V20.8ms⋅0.20.04⎛⎝⎞⎠2⋅=V220ms⋅=HenceRx350−103×Nm2⋅π0.2 m⋅2⋅4×75103×Nm2⋅π0.04 m⋅2⋅4×−
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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.