Research Article
Nov 1970
Variational Approach to Non-Darcy Flow
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 96, Issue 11
Abstract
The principles of variational calculus are applied to solve the nonlinear partial differential equation for steady and unsteady unconfined non-Darcy flow through porous media. A functional is proposed which will yield solutions for the laminar, transitional and turbulent flow regimes. The solution represents the minimization of the rate of energy dissipation with enforced flow continuity. A finite element scheme is used to obtain the minimizing field. Examples of the method applied to steady and unsteady free surface flow is described in a rectangular rockfill section. The finite element and experimental flow fields are in good agreement.
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Journal of the Hydraulics Division
Volume 96 • Issue 11 • November 1970
Pages: 2265 - 2278
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© 1970 American Society of Civil Engineers.
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Published in print: Nov 1970
Published online: Feb 3, 2021
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John A. McCorquodale, AM.ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Windsor, Windsor, Ontario, Canada
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.