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Question

(a) Find the expression of the shear stress at any location y. Your expression should be in

terms of the viscosity, y, and Uc.

(b) Find the shear stress expression at y = ±b. What is the shear stress at the center y = 0?

(c) Sketch the variation of shear stress as a function of y. Hand sketch is sufficient.

(d) If the length of the plates is L and width into paper is w, find an expression for the net

force exerted by the fluid on the plates. In which direction does this force act? Assume

the velocity profile at all a locations is the same.

Fig: 1