3. Consider a viscous flow between two flat plates separated by a distance H. The bottom located at y = 0 and moves to the right with speed Uplate. The top plate is located at y moves to the left with speed 2Uplate. The pressure in the flow is constant. The fluid be plates has dynamic viscosity μ. Assume that the flow is steady, incompressible, fully-de dimensional, and has negligible body forces. Starting from the differential form of the c of mass and momentum equations: a. Derive an equation for the velocity between the plates in terms of Uplate, H, ar b. Determine the average velocity between the plates in terms of Uplate and H. Determine the shear stress acting on the bottom plate in terms of Uplate, H, ar C. 2Uplate fluid H

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3. Consider a viscous flow between two flat plates separated by a distance H. The bottom plate is
located at y = 0 and moves to the right with speed Uplate. The top plate is located at y = H and
moves to the left with speed 2Uplate. The pressure in the flow is constant. The fluid between the
plates has dynamic viscosity μ. Assume that the flow is steady, incompressible, fully-developed, two
dimensional, and has negligible body forces. Starting from the differential form of the conservation
of mass and momentum equations:
a. Derive an equation for the velocity between the plates in terms of Uplate, H, and y.
b. Determine the average velocity between the plates in terms of Uplate and H.
C. Determine the shear stress acting on the bottom plate in terms of Uplate, H, and µ.
2Uplate
y
fluid
H
Uplate
Transcribed Image Text:3. Consider a viscous flow between two flat plates separated by a distance H. The bottom plate is located at y = 0 and moves to the right with speed Uplate. The top plate is located at y = H and moves to the left with speed 2Uplate. The pressure in the flow is constant. The fluid between the plates has dynamic viscosity μ. Assume that the flow is steady, incompressible, fully-developed, two dimensional, and has negligible body forces. Starting from the differential form of the conservation of mass and momentum equations: a. Derive an equation for the velocity between the plates in terms of Uplate, H, and y. b. Determine the average velocity between the plates in terms of Uplate and H. C. Determine the shear stress acting on the bottom plate in terms of Uplate, H, and µ. 2Uplate y fluid H Uplate
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