Consider flow past a flat plate in the throat of a 2D channel as depicted in the figure. If the free-stream velocity is given by u? = ?x, where x is the distance from the leading edge and ? is a constant, show that the flow in the boundary layer on the plate is governed by an ODE. Solve for the stream function numerically. How does the boundary-layer thickness grow with x? How does the shear stress vary with x?

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