Consider a flat horizontal plate that is infinite in size in both dimensions. Above the plate is

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Consider a flat horizontal plate that is infinite in size in both dimensions. Above the plate is a fluid of viscosity μ. The plate is at rest. Then, at time equals zero seconds, the plate is set in motion to the right with a constant velocity V acting to the right. Consider the velocity field in the fluid above the plate and simplify the general form of the velocity field by answering the following questions.

a. Which velocity components (u, v, w) are zero? Which are nonzero? Why?

b. Which spatial variables (x, y, z) are parameters? Which can be ignored? Why?

c. Is time a parameter? Or, can time be ignored? Why?

d. What is the reduced equation that represents the velocity field?

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Engineering Fluid Mechanics

ISBN: 9781118880685

11th Edition

Authors: Donald F. Elger, Barbara A. LeBret, Clayton T. Crowe, John A. Robertson

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