Problem 6.11[Difficulty: 2]Given:Velocity fieldFind:Expression for pressure gradient; plot; evaluate pressure at outletSolution:Basic equationsGiven dataU15ms⋅=L5m⋅=pin100 kPa⋅=ρ1250kgm3⋅=Hereux()U 1xL−⎛⎝⎞⎠⋅=u0() 15ms=uL() 0ms=The x momentum becomesρu⋅xudd⋅ρaa⋅=xpdd−=Henceaxxx∂∂⋅=axxU2xL1−⎛⎝⎞⎠⋅L=The pressure gradient is thendpdxρ−U2L⋅x
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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.