An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. The flow is caused by the movement of the bottom plate which has a velocity U, while the upper plate is fixed. The flow has zero pressure gradient in the x-direction. The velocity of the moving plate is U =7 m/s and b= 1 m. a) Determine the flow rate passing between the two plates per unit width (the width is perpendicular to the drawing plane). b) Calculate the magnitude of the rotation. c) Calculate the volumetric dilatation rate.
An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. The flow is caused by the movement of the bottom plate which has a velocity U, while the upper plate is fixed. The flow has zero pressure gradient in the x-direction. The velocity of the moving plate is U =7 m/s and b= 1 m. a) Determine the flow rate passing between the two plates per unit width (the width is perpendicular to the drawing plane). b) Calculate the magnitude of the rotation. c) Calculate the volumetric dilatation rate.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An incompressible viscous flow is contained between two parallel plates separated from each other by distance b. The flow is caused by the movement of the bottom plate which has a velocity U, while the upper plate is fixed. The flow has zero pressure gradient in the x-direction. The velocity of the moving plate is U =7 m/s and b= 1 m.
a) Determine the flow rate passing between the two plates per unit width (the width is perpendicular to the drawing plane).
b) Calculate the magnitude of the rotation.
c) Calculate the volumetric dilatation rate.
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