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Consider a steady, two-dimensional flow field in the xy-plane whose x-component of velocity is given by where a, b, and

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Consider a steady, two-dimensional flow field in the xy-plane whose x-component of velocity is given by

where a, b, and c are constants with appropriate dimensions. Of what form does the y-component of velocity need to be in order for the flow field to be incompressible? In other words, generate an expression for ν as a function of x, y, and the constants of the given equation such that the flow is incompressible.

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u = a + b(x – c)

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To make the flow field incompressible we need to satisfy the continuity equation which in two dimens…View the full answer


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Related Book For  answer-question
Fluid Mechanics Fundamentals And Applications

Fluid Mechanics Fundamentals And Applications

ISBN: 9780073380322

3rd Edition

Authors: Yunus Cengel, John Cimbala

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Question Details
Chapter # 4- Fluid kinematics
Section: Problems
Problem: 97
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Question Posted: September 15, 2023 23:32:40
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