Problem 4.82[Difficulty: 2]RxyxCScdGiven:Water flow through orifice plateFind:Force to hold plateSolution: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⋅ρV22A2⋅V12A1⋅−⎛⎝⎞⎠⋅+=From continuityQV1A1⋅=V2A2⋅=soV1QA1=20ft3s⋅4π13ft⋅⎛⎝⎞⎠2⋅×=229fts⋅=andV2V1A1A2⋅=V1Dd⎛⎝⎞⎠2⋅=229fts⋅41.5⎛⎝⎞⎠2×=1628fts⋅=NOTE: problem has an error: Flow rate should be 2 ft3/s not 20 ft3/s! We will provide answers to bothHenceRx200−lbfin2⋅π4in⋅2⋅4×1.94slugft3⋅1628fts⋅⎛⎝⎞⎠2π1.5 in⋅2⋅4×229fts⋅⎛⎝⎞⎠
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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.