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Variational Approach to Non-Darcy Flow
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.
Variational Approach to Non-Darcy Flow
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.
Variational Approach to Non-Darcy Flow
McCorquodale, John A. (author)
Journal of the Hydraulics Division ; 96 ; 2265-2278
2021-01-01
141970-01-01 pages
Article (Journal)
Electronic Resource
Unknown
Erratum for “Variational Approach to Non-Darcy Flow”
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Darcy flow solutions with free surface
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Characterization of transition from Darcy to non-Darcy flow with 3D pore-level simulations
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NON-DARCY FLOW THROUGH LARGE GRANULAR MEDIA
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