The slope of the free surface of a steady wave in one-dimensional flow in a shallow liquid

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The slope of the free surface of a steady wave in one-dimensional flow in a shallow liquid layer is described by the equation

\[\frac{\partial h}{\partial x}=-\frac{u}{g} \frac{\partial u}{\partial x}\]

Use a length scale, $L$, and a velocity scale, $V_{0}$, to nondimensionalize this equation. Obtain the dimensionless groups that characterize this flow.

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Fox And McDonald's Introduction To Fluid Mechanics

ISBN: 9781118912652

9th Edition

Authors: Philip J. Pritchard, John W. Mitchell

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Question Posted: May 06, 2024 08:00 AM

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The slope of the free surface of a steady wave in one-dimensional flow in a shallow liquid

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Fox And McDonald's Introduction To Fluid Mechanics

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