Research Article
Mar 1970
Dynamic Equations for Steady Spatially Varied Flow
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 96, Issue 3
Abstract
Dynamic equations for steady spatially varied flow in uniform channels are derived separately based on momentum and energy principles. It is shown that the momentum equation is inherently different from the energy equation. In general, six different gradients are involved in steady spatially varied flow: the friction slope in the momentum equation, the dissipated energy gradient in the energy equation, the total head gradient, the gradient of the piezometric head, the free surface slope, and the channel slope. Conventional practice of using the Manning, Chezy, or Weisbach formulas to evaluate the friction slope or the dissipated energy gradient is only an approximation.
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Published In
Journal of the Hydraulics Division
Volume 96 • Issue 3 • March 1970
Pages: 801 - 814
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Mar 1970
Published online: Feb 3, 2021
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Authors
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Ben Chie Yen, AM.ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
Harry G. Wenzel Jr., M.ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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