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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 2, Pages 98–106
(Mi pmtf1587)
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Evolution of the interface in a stratified anisotropic porous material
M. M. Alimov Chebotarev Research Institute of Mathematics and Mechanics, Kazan’ State University, Kazan’, 420008, Russia
Abstract:
It is shown that the boundary-value problem describing the evolution of the interface during impregnation of a stratified inhomogeneous anisotropic porous material with a viscous fluid can be reduced to a similar problem for a stratified inhomogeneous isotropic material by nonorthogonal transformation of the coordinates. As a result, the well-known estimates of the problem parameters determining the interface configuration for impregnation of an isotropic material can be extended to the anisotropic case.
Keywords:
free-boundary problem, multiphase media, bulk anisotropy.
Received: 24.11.2008 Accepted: 23.04.2009
Citation:
M. M. Alimov, “Evolution of the interface in a stratified anisotropic porous material”, Prikl. Mekh. Tekh. Fiz., 51:2 (2010), 98–106; J. Appl. Mech. Tech. Phys., 51:2 (2010), 226–232
Linking options:
https://www.mathnet.ru/eng/pmtf1587 https://www.mathnet.ru/eng/pmtf/v51/i2/p98
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