Research article Vol. 13 No. 1 (2017): International Journal for Computational Civil and Structural Engineering

CALCULATION OF THE FILTRATION PROBLEM AT THE FILTER INLET

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How to Cite

CALCULATION OF THE FILTRATION PROBLEM AT THE FILTER INLET

Authors

  • Ludmila I. Kuzmina National Research University Higher School of Economics, Moscow, RUSSIA
  • Yuri V. Osipov National Research Moscow State University of Civil Engineering, Moscow, RUSSIA; Moscow Aviation Institute (National Research University) , Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2017-13-1-63-68

Keywords:

deep bed filtration, porous medium, suspended and retained particles, phase boundary, asymptotic solution

Abstract

Filtration of the suspension in a porous medium with a geometric particle capture mechanism is con-sidered. The porous medium has an initial deposit unevenly distributed across the filter. The nonlinear model of deep bed filtration suggests that the porosity and permeability of the porous medium depend on the deposit. The asymptotics of the movable boundary of the two phases is determined. The asymptotic solution of the problem is constructed and calculated near the filter inlet.

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Author Biographies

  • Ludmila I. Kuzmina, National Research University Higher School of Economics, Moscow, RUSSIA

    доцент, кандидат физико-математических наук, Департамент прикладной математики

  • Yuri V. Osipov, National Research Moscow State University of Civil Engineering, Moscow, RUSSIA; Moscow Aviation Institute (National Research University) , Moscow, RUSSIA

    доцент, кандидат физико-математических наук, зав. кафедрой прикладной математики

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Published

2017-03-22

How to Cite

Kuzmina, L. I., & Osipov, Y. V. (2017). CALCULATION OF THE FILTRATION PROBLEM AT THE FILTER INLET. International Journal for Computational Civil and Structural Engineering, 13(1), 63-68. https://doi.org/10.22337/2587-9618-2017-13-1-63-68

Keywords

deep bed filtration, porous medium, suspended and retained particles, phase boundary, asymptotic solution

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