Problem 4.139[Difficulty: 4]Given:Jet impacting a splitter vaneFind:Mass flow rate ratio; new speed USolution:Apply momentum equation to inertial CVAssumptions: No pressure force; neglect water mass on vane; steady flow wrt vane; uniform flow; no change of speed wrt the vaneBasic equationGiven dataV25ms⋅=A7.85 105−⋅m2⋅=U10ms⋅=θ30 deg⋅=ρ999kgm3⋅=For constant speed wrt the vane, the jet velocity at each location isVU−For no vertical force, y momentum becomes0v1m1−()⋅v2m2⋅+v3m3⋅+=where vi and mi are the vertical componentsof velocity and mass flow rates, respectively,at the inlet and exits, wrt the vanecoordinatesHence00 VU−m2⋅+−() sinθ⋅m3⋅−=orm2m3sinθ⋅=m2m3sinθ=12=Note thatm1ρA⋅−⋅=m11.18kgs=andm1m2m3+=som1m3sinθ⋅m3+=m3m111sinθ+=m3m123=m30.784kgs=m20.392kgs
This is the end of the preview. Sign up
access the rest of the document.
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.