2-77 A thin 30-cm x 30-cm flat plate is pulled at 3 m/s hori- zontally through a 3.6-mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.3 m/s, as shown in Fig. P2-77. The dynamic vis- cosity 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.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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2-77 A thin 30-cm x 30-cm flat plate is pulled at 3 m/s hori-
zontally through a 3.6-mm-thick oil layer sandwiched between
two plates, one stationary and the other moving at a constant
velocity of 0.3 m/s, as shown in Fig. P2-77. The dynamic vis-
cosity 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.
|h₁ = 1 mm
|h₂ = 2.6 mm
Fixed wall
V = 3 m/s
FIGURE P2-77
Moving wall
F
Vw = 0.3 m/s
W
Transcribed Image Text:2-77 A thin 30-cm x 30-cm flat plate is pulled at 3 m/s hori- zontally through a 3.6-mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.3 m/s, as shown in Fig. P2-77. The dynamic vis- cosity 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. |h₁ = 1 mm |h₂ = 2.6 mm Fixed wall V = 3 m/s FIGURE P2-77 Moving wall F Vw = 0.3 m/s W
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