A model of two-velocity particles transport in a porous medium

被引：25

作者：

Kuzmina, Liudmila I. ^{[1
]}

Osipov, Yuri V. ^{[2
]}

Galaguz, Yuri P. ^{[2
]}

机构：

[1] Natl Res Univ, Dept Appl Math, Higher Sch Econ, 20 Myasnitskaya St, Moscow 101000, Russia

[2] Moscow State Univ Civil Engn, Natl Res Univ, Dept Appl Math, 26 Yaroslavskoe Shosse, Moscow 129337, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2017年 / 93卷

关键词：

Porous media; Deep bed filtration; Suspended and retained particles; Mathematical model; Exact and asymptotic solutions; DEEP BED FILTRATION; PARTICULATE SUSPENSIONS;

D O I：

10.1016/j.ijnonlinmec.2017.04.015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A one-dimensional flow of suspension with two types of solid particles moving with different velocities in a porous medium is considered. A mathematical model of deep bed filtration which generalizes the known equations of mass balance and particle capture kinetics for a flow of fluid with identical particles is developed. The exact solution is evaluated at the filter inlet and on the concentration front of fast suspended and retained particles, asymptotic solutions are provided in certain vicinities of these lines. A global asymptotic solution to the problem with a small limit deposit is constructed. The asymptotics rapidly converges to the numerical solution.

引用

页码：1 / 6

页数：6

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