Problem *5.32Given:Approximate profile for a laminar boundary layer:uU2yδyδ2δcx(c is constant)Find:(a) Stream function for the flow field(b) Location of streamlines at one-quarter and one-half the total flow rate in the boundary layer.Solution:We will generate the stream function from the velocity field.xvyuGoverningEquations:(Definition of stream function)Integrating the x-component of velocity yields the stream function:ψyU2yδyδ2dfx()Uδyδ213yδ3fxIf we setψ0aty0the stream function would be:ψUδyδ213yδ3The total flow rate per unit depth within the boundary layer is:Qψδψ0Uδ
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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.