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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008 Volume 150, Book 3, Pages 88–103 (Mi uzku690)

This article is cited in 1 paper

Iterative Solution of the Problem of Liquid Impregnation into Laminated Porous Material

M. M. Alimov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Abstract: The problem of liquid impregnation into laminated porous material is considered. For case with high contrast of layers' thickness and permeability, this problem is formulated as specific free boundary problem. Numerical solution is obtained by the iterative method similarly to the Levi–Civita method in hydrodynamic of an ideal liquid. A comparison of asymptotic analysis results and numerical results is presented.

Keywords: free boundary problems, multiphase mediums, liquid impregnation into porous material, VARTM technology.

UDC: 532.546

Received: 26.02.2008



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