Asymptotics for filtration of polydisperse suspension with small impurities

作     者：L.I.KUZMINA Y.V.OSIPOV T.N.GORBUNOVA L.I.KUZMINA;Y.V.OSIPOV;T.N.GORBUNOVA

作者机构：Department of Applied MathematicsNational Research University Higher School of EconomicsMoscow 101000Russia Department of Applied MathematicsMoscow State University of Civil Engineering(National Research University)Moscow 129337Russia 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2021年第42卷第1期

页      面：109-126页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：deep bed filtration suspension colloid porous medium particle size distribution analytical model 

摘      要：A model for deep bed filtration of a polydisperse suspension with small impurities in a porous medium is *** suspended particles move with the same velocity as the carrier water and get blocked in the pore throats due to the size-exclusion mechanism of particle retention.A solution of the model in the form of a traveling wave is *** global exact solution for a multiparticle filtration with one high concentration and several low concentrations of suspended particles is obtained in an explicit *** analytic solutions for a bidisperse suspension with large and small particles are *** profiles of the retained small particles change monotony with *** global asymptotics for the filtration of a polydisperse suspension with small kinetic rates is constructed in the whole filtration zone.