A viscous and incompressible fluid with a density of p is flowing steadily between two parallel plates separated by a distance of 2h. At section 1, the velocity, U., is uniform, while the velocity distribution at section 2 is assumed to be linear. The flow is identical in all planes, which are parallel to the xy- plane. The pressures at sections 1 and 2 are p₁ and p₂, respectively. Determine a) the maximum velocity at section 2 and b) the drag force exerted on the plates. Solution Y U 2h n₁ Control volume 12

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A viscous and incompressible fluid with a density of p is flowing steadily between two parallel plates
separated by a distance of 2h. At section 1, the velocity, U., is uniform, while the velocity distribution
at section 2 is assumed to be linear. The flow is identical in all planes, which are parallel to the xy-
plane. The pressures at sections 1 and 2 are p₁ and p₂, respectively. Determine
a) the maximum velocity at section 2 and
b) the drag force exerted on the plates.
Solution
Y
U
2h
n₁
Control volume
12
Transcribed Image Text:A viscous and incompressible fluid with a density of p is flowing steadily between two parallel plates separated by a distance of 2h. At section 1, the velocity, U., is uniform, while the velocity distribution at section 2 is assumed to be linear. The flow is identical in all planes, which are parallel to the xy- plane. The pressures at sections 1 and 2 are p₁ and p₂, respectively. Determine a) the maximum velocity at section 2 and b) the drag force exerted on the plates. Solution Y U 2h n₁ Control volume 12
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