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Question: 5 consider a steady 2d incompressible laminar boundary layer over...

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5- Consider a steady 2D incompressible laminar boundary layer over a semi-infinite flat plate. The free stream velocity U is constant and correspondingly the stream-wise pressure gradient is zero. Consider a small uniform wall-normal suction velocity Vw applied at the wall to control the boundary layer. a) Derive the following momentum integral equation: 149 tA dx Assuming a sine-arc velocity profile within the boundary layer (η-y/6), u/U, «, sin(am: b) Express 62 and Tw in terms of boundary layer thickness c) Derive an equation for the boundary layer thickness. d) Show that at large distance from the leading edge, the boundary layer thickness becomes constant and its value is rv/vw

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