Geodesic
Iterative Solution of the Problem of Liquid Impregnation into Laminated Porous Material
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 88-103

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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. 
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     author = {M. M. Alimov},
     title = {Iterative {Solution} of the {Problem} of {Liquid} {Impregnation} into {Laminated} {Porous} {Material}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {88--103},
     publisher = {mathdoc},
     volume = {150},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a9/}
}
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M. M. Alimov. Iterative Solution of the Problem of Liquid Impregnation into Laminated Porous Material. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 88-103. http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a9/