Numerical Study of Suspension Filtration Model in Porous Medium with Modified Deposition Kinetics

被引：2
|
作者：
Fayziev, Bekzodjon [1 ]
Ibragimov, Gafurjan [2 ,3 ]
Khuzhayorov, Bakhtiyor [1 ]
Alias, Idham Arif [2 ,3 ]
机构：
[1] Samarkand State Univ, Dept Math Modeling, Samarkand 140100, Uzbekistan
[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 05期
关键词：
deep bed filtration; deposition kinetics; dynamical factors; porous media; stability of difference scheme; DEEP-BED FILTRATION; TRAJECTORY ANALYSIS; PARTICLE; ATTACHMENT; TRANSPORT;
D O I：
10.3390/sym12050696
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Filtration is one of the most used technologies in chemical engineering. Development of computer technology and computational mathematics made it possible to explore such processes by mathematical modeling and computational methods. The article deals with the study of suspension filtration in a porous medium with modified deposition kinetics. It is suggested that deposition is formed in two types, reversible and irreversible. The model of suspension filtration in porous media consists of the mass balance equation and kinetic equations for each type of deposition. The model includes dynamic factors and multi-stage deposition kinetics. By using the symmetricity of porous media, the higher dimensional cases are reduced to the one-dimensional case. To solve the problem, a stable, effective and simple numerical algorithm is proposed based on the finite difference method. Sufficient conditions for stability of schemes are found. Based on numerical results, influences of dynamic factors on solid particle transport and deposition characteristics are analyzed. It is shown that the dynamic factors mainly affect the profiles of changes in the concentration of deposition of the active zone.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] Numerical Study of Micro-Thermal Environment in Block Based on Porous Media Model
    Lei, Jie
    Wang, Dengyun
    Chen, Zhenqian
    BUILDINGS, 2022, 12 (05)
  • [42] Numerical and Experimental Fractal Pore Network Study on Drying of Porous Media: Model Building
    Yuan, Yuejin
    Yuan, Yueding
    Xu, Yingying
    Dong, Jixian
    Liu, Xiangdong
    ADVANCED MATERIALS AND PROCESSES II, PTS 1-3, 2012, 557-559 : 2159 - 2162
  • [43] A Modified Stress-Displacement Solution for a Pressure Tunnel with a Permeable Liner in an Elastic Porous Medium Based on a New Model
    M. B. Wang
    G. Wang
    Rock Mechanics and Rock Engineering, 2013, 46 : 259 - 268
  • [44] A Modified Stress-Displacement Solution for a Pressure Tunnel with a Permeable Liner in an Elastic Porous Medium Based on a New Model
    Wang, M. B.
    Wang, G.
    ROCK MECHANICS AND ROCK ENGINEERING, 2013, 46 (02) : 259 - 268
  • [45] Thermal radiation and porous medium effects on a thin liquid film over a stretching sheet: A numerical comparative study
    Gouran, S.
    Vahidi, J.
    Akbari, H.
    Ghasemi, S. E.
    CASE STUDIES IN THERMAL ENGINEERING, 2023, 52
  • [46] Homogenized model for diffusion and heterogeneous reaction in porous media: Numerical study and validation.
    Bourbatache, Mohamed Khaled
    Millet, Olivier
    Le, Tien Dung
    Moyne, Christian
    APPLIED MATHEMATICAL MODELLING, 2022, 111 : 486 - 500
  • [47] Experimental study of the dryout of a 2D heat-generating model porous medium
    Gourbil, A.
    Fichot, F.
    Prat, M.
    Quintard, M.
    Duru, P.
    EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2019, 107 (140-145) : 140 - 145
  • [48] Deposition and re-entrainment of model colloids in saturated consolidated porous media: Experimental study
    Canseco, V.
    Djehiche, A.
    Bertin, H.
    Omari, A.
    COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2009, 352 (1-3) : 5 - 11
  • [49] Study on Three-dimensional Particle Migration Model in Porous Media with Dual Deposition Modes
    Liu X.
    Tu S.
    Yang D.
    Yang Z.
    Liu T.
    Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, 2023, 50 (07): : 178 - 187
  • [50] Electroless Plating of Thin Silver Films on Porous Al2O3 Substrate and the Study of Deposition Kinetics
    Fang Mei
    Tsinghua Science and Technology, 2005, (06) : 46 - 55
12345