Variational Theories in Hydrodynamics and Hydraulics
Publication: Journal of Hydraulic Engineering
Volume 120, Issue 6
Abstract
Hydrodynamic and hydraulic theories have been developed along two parallel approaches, i.e., the vectorial and variational approaches. Most classical hydraulic theories are based on vectorial approaches. The variational approach is a scalar approach based on the maximization of entropy, minimization of energy, or minimization of energy dissipation rate. A review of variational theories and hypotheses shows that fundamental theories in hydrodynamics and hydraulics derived from vectorial approaches can also be independently derived from variational approaches. A comparison of different variational theories indicates that they are consistent with each other provided that the concepts of entropy and energy are properly defined and correctly applied.
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Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 120 • Issue 6 • June 1994
Pages: 737 - 756
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Oct 12, 1993
Published online: Jun 1, 1994
Published in print: Jun 1994
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