Problem 4.58[Difficulty: 3]Given:Data on flow through a control surfaceFind:Net rate of momentum fluxSolution:∫⋅CSdAVVrrρBasic equation: We need to evaluateAssumptions: 1) Uniform flow at each sectionFrom Problem 4.24V110fts⋅=A10.5 ft2⋅=V220fts⋅=A20.1 ft2⋅=A30.6 ft2⋅=V35fts⋅=It is an outlet()()() ()jAVAViAVAVAVjViVAVjVAViVAVjViVAVjVAViVAVVAVVAVVdAVVCSˆ60cosˆ60sinˆ60cosˆ60sinˆˆˆ60cosˆ60sinˆˆ32322232312133332221113333222111333222111−++−=−++−=⋅−+⋅+⋅=⋅+⋅+⋅=⋅∫rrrrrrrrrrrrrrrrrThen for the control surface=+−60sin323121AVAVHence the x component is65lbmft3⋅
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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.