Consider fully developed, two-dimensional channel flowflow between two infinite parallel
Chapter 9, Problem 9-49(choose chapter or problem)
Consider fully developed, two-dimensional channel flowflow between two infinite parallel plates separated by distance h, with both the top plate and bottom plate stationary, and a forced pressure gradient dP/dx driving the flow as illustrated in Fig. P949. (dP/dx is constant and negative.) The flow is steady, incompressible, and two-dimensional in the xyplane. The velocity components are given by u 5 (1/2m)(dP/dx) (y2 2 hy) and v 5 0, where m is the fluids viscosity. Generate an expression for stream function c along the vertical dashed line in Fig. P949. For convenience, let c 5 0 along the bottom wall of the channel. What is the value of c along the top wall?
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