Effects of gravity and inlet/outlet location on a two-phase cocurrent imbibition in porous media.
El-Amin, M.F., Sun, Shuyu (2011)
Journal of Applied Mathematics
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El-Amin, M.F., Sun, Shuyu (2011)
Journal of Applied Mathematics
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Jaroslav Hron, Maria Neuss-Radu, Petra Pustějovská (2011)
Applications of Mathematics
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In this paper, we propose a mathematical model for flow and transport processes of diluted solutions in domains separated by a leaky semipermeable membrane. We formulate transmission conditions for the flow and the solute concentration across the membrane which take into account the property of the membrane to partly reject the solute, the accumulation of rejected solute at the membrane, and the influence of the solute concentration on the volume flow, known as osmotic effect. The model...
Abbassi, Adil, Namah, Gawtum (2005)
Mathematical Problems in Engineering
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Constales, D., Kačur, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Waniewski, Jacek (2001)
Journal of Theoretical Medicine
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Todd Arbogast, Clint N. Dawson, Mary F. Wheeler (1995)
Applications of Mathematics
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We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport...
Pal Dulal, Veerabhadraiah, R., Shivakumar, P.N., Rudraiah, N. (1984)
International Journal of Mathematics and Mathematical Sciences
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Radek Fučík, Jiří Mikyška (2011)
Mathematica Bohemica
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In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed.
Bettina Albers, Stavros A. Savidis, H. Ercan Taşan, Otto von Estorff, Malte Gehlken (2012)
International Journal of Applied Mathematics and Computer Science
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The dynamical investigation of two-component poroelastic media is important for practical applications. Analytic solution methods are often not available since they are too complicated for the complex governing sets of equations. For this reason, often some existing numerical methods are used. In this work results obtained with the finite element method are opposed to those obtained by Schanz using the boundary element method. Not only the influence of the number of elements and time...