This article is cited in 1 paper

Determination of the saturated region shape for liquid impregnation into laminated porous material

M. M. Alimov

Сhebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Abstract: Numerical solution of the problem of liquid impregnation into laminated porous material is presented. For case steady-state process with high contrast of layer's thickness and permeability this problem is formulated as specific free boundary problem, which is characterized by small angle between free boundary and interlaminar boundary. Proposed iterative method of solution is efficient for angle greater by 0.003. The comparison of numerical results and known asymptotic analysis results is presented.

Keywords: layer, interface, saturated region shape.

UDC: 519.63+532.546

Received: 31.08.2009

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