To the problem of distribution of structural components of a capillary porous medium.
Ibragimov, F. A., Tedeev, T. R., Kharebov, K. S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Ibragimov, F. A., Tedeev, T. R., Kharebov, K. S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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O. K. Matar, G. M. Sisoev, C. J. Lawrence (2008)
Mathematical Modelling of Natural Phenomena
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We study pressure-driven, two-layer flow in inclined channels with high density and viscosity contrasts. We use a combination of asymptotic reduction, boundary-layer theory and the Karman-Polhausen approximation to derive evolution equations that describe the interfacial dynamics. Two distinguished limits are considered: where the viscosity ratio is small with density ratios of order unity, and where both density and viscosity ratios are small. The evolution equations account for the...
V. M. Soundalgekar (1971)
Matematički Vesnik
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Meena, S., Kandaswamy, P., Debnath, Lokenath (2001)
International Journal of Mathematics and Mathematical Sciences
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Radim Blaheta, Tomáš Luber (2017)
Applications of Mathematics
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Poroelastic systems describe fluid flow through porous medium coupled with deformation of the porous matrix. In this paper, the deformation is described by linear elasticity, the fluid flow is modelled as Darcy flow. The main focus is on the Biot-Barenblatt model with double porosity/double permeability flow, which distinguishes flow in two regions considered as continua. The main goal is in proposing block diagonal preconditionings to systems arising from the discretization of the Biot-Barenblatt...
D. V. Krishna (1966)
Applicationes Mathematicae
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Ashraf, Ehsan Ellahi, Mohyuddin, Muhammad R. (2005)
APPS. Applied Sciences
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H. Kalisch (2012)
Mathematical Modelling of Natural Phenomena
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Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
Kolumban Hutter (1985)
Banach Center Publications
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