A fluid between two parallel horisontal plates of which the upper one is moving with a constant velocity will establish a so-called Couette flow if there is no pressure gradient. A. Derive an expression for the velocity profile if the lower plate is fixed, the upper plate is moving with the constant velocity U, and the vertical distance between the plates is H. B. Show that the shear stress is constant in a Couette flow. C. Is the flow irrotational or rotational? Describe how this can be shown.
A fluid between two parallel horisontal plates of which the upper one is moving with a constant velocity will establish a so-called Couette flow if there is no pressure gradient. A. Derive an expression for the velocity profile if the lower plate is fixed, the upper plate is moving with the constant velocity U, and the vertical distance between the plates is H. B. Show that the shear stress is constant in a Couette flow. C. Is the flow irrotational or rotational? Describe how this can be shown.
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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A fluid between two parallel horisontal plates of which the upper one is moving with a constant velocity will establish a so-called Couette flow if there is no pressure gradient.
A. Derive an expression for the velocity profile if the lower plate is fixed, the upper plate is moving with the constant velocity U, and the vertical distance between the plates is H.
B. Show that the shear stress is constant in a Couette flow.
C. Is the flow irrotational or rotational? Describe how this can be shown.
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