Unsteady free surface flow in porous media: One-dimensional model equations including vertical effects and seepage face - 13/04/18
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Abstract |
This note examines the two-dimensional unsteady isothermal free surface flow of an incompressible fluid in a non-deformable, homogeneous, isotropic, and saturated porous medium (with zero recharge and neglecting capillary effects). Coupling a Boussinesq-type model for nonlinear water waves with Darcy's law, the two-dimensional flow problem is solved using one-dimensional model equations including vertical effects and seepage face. In order to take into account the seepage face development, the system equations (given by the continuity and momentum equations) are completed by an integral relation (deduced from the Cauchy theorem). After testing the model against data sets available in the literature, some numerical simulations, concerning the unsteady flow through a rectangular dam (with an impermeable horizontal bottom), are presented and discussed.
Le texte complet de cet article est disponible en PDF.Keywords : Boussinesq-type model, Nonlinear water waves, Porous medium, Seepage face, Rectangular dam
Plan
Vol 346 - N° 5
P. 366-383 - mai 2018 Retour au numéroBienvenue sur EM-consulte, la référence des professionnels de santé.
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