Develop a relation between dpdx u1 and u2 that ensures that

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Reference no: EM13635418

An incompressible, Newtonian fluid flows steadily between two parallel plates. The bottom plate moves to the left at a constant speed U1 and the upper plate moves to the right at a constant speed U2. For a small gap width, h, determine the following using the :

a. The steady, fully-developed velocity distribution, u(y) as a function of the pressure gradient dP/dx (you may start from the simplified x-momentum equation (4) that we used for Couette flow in class). Sketch the shape of the velocity distribution for the cases dP/dx = 0, dP/dx >0 and dP/dx <0.

b. Develop a relation between dP/dx, U1 and U2 that ensures that the net volume flowrate between the two plates is zero.

c. Determine the magnitude and direction of the shear stress acting on the upper plate.

Reference no: EM13635418

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