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Model of two-component suspension filtration in a porous medium with multistage deposition kinetics

B. Kh. KhuzhayorovDepartment of Mathematical Modeling Samarkand State University, 140104, University blv. 15, Samarkand city, UzbekistanJamol MakhmudovDepartment of Mathematical Modeling Samarkand State University, 140104, University blv. 15, Samarkand city, UzbekistanBekzodjon FayzievDepartment of Mathematical Modeling Samarkand State University, 140104, University blv. 15, Samarkand city, UzbekistanTulkin BegmatovDepartment of Mathematical Modeling Samarkand State University, 140104, University blv. 15, Samarkand city, UzbekistanOtabek SagdullaevSamarkand State University, Kattakurgan branch, Samarkand, Uzbekistan
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In the paper a mathematical model of two component suspension filtration in a porous medium with multistage deposition kinetics is considered. The model includes dynamic factors and accounts for changes in media porosity. It is suggested that the process of deposition forming happens with ripening, transient and breakthrough stages and continues until the deposition reaches its locally maximum value. On the basis of numerical solutions the influences of dynamic factors and suspension polydispersity on solid particles transport and deposition characteristics are analyzed.

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