A thin 30-cm x 30-cm flat plate is pulled at A horizontally through a 3.6-mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 2.2 m/s as shown in the figure. The dynamic viscosity of the oil is 0.027 Pa-s. Assuming the velocity in each oil layer to vary linearly, (a) plot the velocity profile and find the location where the oil velocity is zero and (b) determine the force that needs to be applied on the plate to maintain this motion. Fixed wall h = 1 mm A F h2 = 2.6 mm %3D Vw = 2.2 m/s %3D Moving wall A (m/s) 3.2

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A thin 30-cm x 30-cm flat plate is pulled at A horizontally through a 3.6-mm-thick oil layer sandwiched
between two plates, one stationary and the other moving at a constant velocity of 2.2 m/s as shown in
the figure. The dynamic viscosity of the oil is 0.027 Pars. Assuming the velocity in each oil layer to
vary linearly,
(a) plot the velocity profile and find the location where the oil velocity is zero and
(b) determine the force that needs to be applied on the plate to maintain this motion.
Fixed wall
h = 1 mm
A
F
|h2 = 2.6 mm
Vw = 2.2 m/s
Moving wall
A (m/s)
3.2
Transcribed Image Text:A thin 30-cm x 30-cm flat plate is pulled at A horizontally through a 3.6-mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 2.2 m/s as shown in the figure. The dynamic viscosity of the oil is 0.027 Pars. Assuming the velocity in each oil layer to vary linearly, (a) plot the velocity profile and find the location where the oil velocity is zero and (b) determine the force that needs to be applied on the plate to maintain this motion. Fixed wall h = 1 mm A F |h2 = 2.6 mm Vw = 2.2 m/s Moving wall A (m/s) 3.2
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