(a) Expression for the velocity field(b) Rate of rotation(c) Stream functionProblem 5.78[Difficulty: 2]Given:Velocity field for motion in the x-direction with constant shearFind:Solution:We will apply the definition of circulation to the given velocity field.0twzvyuxGoverningEquations:(Continuity equation)V21(Definition of rotation)Assumptions:(1) Steady flow(2) Incompressible flow ixfAyVˆThe x-component of velocity is:uyAdfx()Ayf xSince flow is parallel to the x-axis:kAxfAyzyxkjiˆ2100ˆˆˆ21
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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.