A thin 30-cm 3 30-cm flat plate is pulled at 3 m/s horizontallythrough a 3.6-mm-thick

Chapter 2, Problem 2-81

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A thin 30-cm 3 30-cm flat plate is pulled at 3 m/s horizontallythrough a 3.6-mm-thick oil layer sandwiched betweentwo plates, one stationary and the other moving at a constantvelocity of 0.3 m/s, as shown in Fig. P281. The dynamic viscosityof the oil is 0.027 Pa?s. Assuming the velocity in each oil layerto vary linearly, (a) plot the velocity profile and find the locationwhere the oil velocity is zero and (b) determine the force thatneeds to be applied on the plate to maintain this motion. Fixed wallMoving wallh1 = 1 mm = 3 m/sh2 = 2.6 mmw = 0.3 m/sVV

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