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...
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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)
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