Diffusion and dissolution in a reactive porous medium: Mathematical modelling and numerical simulations

被引:26
|
作者
Moszkowicz, P
Pousin, J
Sanchez, F
机构
[1] INST NATL SCI APPL,LAB CHIM PHYS APPL & ENVIRONM,F-69621 VILLEURBANNE,FRANCE
[2] INST NATL SCI APPL,MATH MODELLING & SCI COMP LAB,CNRS,URA 740,F-69621 VILLEURBANNE,FRANCE
关键词
reaction-diffusion; phase change; jumping nonlinearities; semilinear parabolic-hyperbolic;
D O I
10.1016/0377-0427(95)00192-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work a simple mathematical model for diffusion and dissolution in reactive porous medium is presented. The case of lime and lead in solid phase enclosed in cement matrices is considered more specifically. A numerical method based on finite difference and on a marching technique is proposed and some numerical results are provided. In a simple case, the results obtained are compared with numerical results available in literature.
引用
收藏
页码:377 / 389
页数:13
相关论文
共 50 条
  • [21] Mathematical modelling for particulate cleaning from a contaminated porous medium
    Chamkha, AJ
    Al-Sahhaf, T
    Peddieson, J
    ADVANCES IN FILTRATION AND SEPARATION TECHNOLOGY, VOL 12, 1998: ADVANCING FILTRATION SOLUTIONS 98, 1998, : 602 - 611
  • [22] MODELLING TWO-LAYER GRANULES DISSOLUTION PROCESS IN POROUS MEDIUM
    Lipin, A. G.
    Turkova, N. D.
    Kuvshinova, A. S.
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII KHIMIYA I KHIMICHESKAYA TEKHNOLOGIYA, 2012, 55 (09): : 90 - +
  • [23] Mathematical modelling of damp porous material drying in diffusion approximation
    Ilyasov, U. R.
    Igoshin, D. E.
    THERMOPHYSICS AND AEROMECHANICS, 2008, 15 (04) : 643 - 650
  • [24] Mathematical modelling of damp porous material drying in diffusion approximation
    U. R. Ilyasov
    D. E. Igoshin
    Thermophysics and Aeromechanics, 2008, 15 : 643 - 650
  • [25] Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell
    George, Uduak Z.
    Stephanou, Angelique
    Madzvamuse, Anotida
    JOURNAL OF MATHEMATICAL BIOLOGY, 2013, 66 (03) : 547 - 593
  • [26] Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell
    Uduak Z. George
    Angélique Stéphanou
    Anotida Madzvamuse
    Journal of Mathematical Biology, 2013, 66 : 547 - 593
  • [27] NUMERICAL SIMULATIONS OF REVERSIBLE REACTIVE FLOWS IN HOMOGENEOUS POROUS MEDIA
    Alhumade, H.
    Azaiez, J.
    JOURNAL OF POROUS MEDIA, 2014, 17 (04) : 359 - 372
  • [28] CRYSTAL PRECIPITATION AND DISSOLUTION IN A POROUS MEDIUM: EFFECTIVE EQUATIONS AND NUMERICAL EXPERIMENTS
    Van Noorden, T. L.
    MULTISCALE MODELING & SIMULATION, 2009, 7 (03): : 1220 - 1236
  • [29] Numerical simulations for a two-scale model in a porous medium
    Mahato H.S.
    Mahato, H. Sh. (hsmahato@uga.edu), 1600, Maik Nauka Publishing / Springer SBM (10): : 28 - 36
  • [30] Numerical modelling of reactive transport processes in fractured porous media
    Habbar, A
    Kolditz, O
    GROUNDWATER QUALITY: REMEDIATION AND PROTECTION, 1998, (250): : 313 - 319