A layer of oil flows down a vertical plate as shown in Fig.P4.63 with a velocity of V =

Chapter 4, Problem 4.63

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A layer of oil flows down a vertical plate as shown in Fig.P4.63 with a velocity of V = (V0h2) (2hx x2)j where V0 and hare constants. (a) Show that the fluid sticks to the plate and that theshear stress at the edge of the layer (x = h) is zero. (b) Determinethe flowrate across surface AB. Assume the width of the plate is b.(Note: The velocity profile for laminar flow in a pipe has a similarshape. See Video V6.13.)

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