Research Article
Jul 1979
Theory of Minimum Rate of Energy Dissipation
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 105, Issue 7
Abstract
A general theory of minimum rate of energy dissipation for a class of open channel flows with or without the movement of sediment is proposed in this paper. This theory states that the rate of energy dissipation is a minimum under steady equilibrium or gradually varied flow conditions. The theory is derived from the Navier-Stoke's equations of motion for gradually varied open channel flow without sediment transport. It applies to turbulent and laminar flows as long as the inertia forces due to the time-averaged velocity distribution is small compared with the forces due to gravity and shear. The theory in different degrees of generality can be used to explain the fluvial processes from the movement of sediment to the change of velocity, slope, roughness, channel geometry, pattern, and profile of a river under an eqiulibrium condition or during the process of self-adjustment to reach an equilibrium condition.
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Published In
Journal of the Hydraulics Division
Volume 105 • Issue 7 • July 1979
Pages: 769 - 784
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Jul 1979
Published online: Feb 3, 2021
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Authors
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Chih Ted Yang, M.ASCE
Civ. Engr., U.S. Bureau of Reclamation, Engrg. Research Center, Denver Federal Center, Denver, Colo.
Charles C. S. Song, M.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Minnesota, Minneapolis, Minn.
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