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Two immiscible, incompressible, viscous fluids having thesame densities but different

Fundamentals of Fluid Mechanics | 8th Edition | ISBN: 9781119080701 | Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein ISBN: 9781119080701 456

Solution for problem 6.80 Chapter 6.9.2

Fundamentals of Fluid Mechanics | 8th Edition

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Fundamentals of Fluid Mechanics | 8th Edition | ISBN: 9781119080701 | Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Fundamentals of Fluid Mechanics | 8th Edition

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Problem 6.80

Two immiscible, incompressible, viscous fluids having thesame densities but different viscosities are contained between twoinfinite, horizontal, parallel plates (Fig. P6.80). The bottom plate isfixed, and the upper plate moves with a constant velocity U.Determine the velocity at the interface. Express your answer in termsof U, 1, and 2. The motion of the fluid is caused entirely by themovement of the upper plate; that is, there is no pressure gradient inthe x direction. The fluid velocity and shearing stress are continuousacross the interface between the two fluids. Assume laminar flow.

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Chapter 6.9.2, Problem 6.80 is Solved
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Textbook: Fundamentals of Fluid Mechanics
Edition: 8
Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
ISBN: 9781119080701

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Two immiscible, incompressible, viscous fluids having thesame densities but different