MATHEMATICAL MODELLING OF MOISTURE DISTRIBUTION IN POROUS MEDIA

被引:0
|
作者
Koshev, A. N. [1 ]
Kuzina, V. V. [1 ]
Koshev, N. A. [2 ]
机构
[1] Penza State Univ Architecture & Construct, Penza, Russia
[2] Skolkovo Inst Sci & Technol, Moscow, Russia
关键词
mathematical modelling; porous material; moisture distribution; industrial humidification; boundary value problem for ordinary differential equation;
D O I
10.14529/mmp240202
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose the mathematical model for distribution of moisture in porous material during the industrial wetting process for a number of assumptions. The model is presented in form of a boundary problem for ordinary differential equation. In current article we discuss possible methods of the solution of this problem, highlight some problems, which can occur during the solution. At the end of the paper, we present some numerical results of modelling wetting process for different materials and calculation of the parameters. The model under discussion allows to understand better the influence of parameters of the problem in order to optimize the wetting process in industry.
引用
收藏
页码:15 / 28
页数:14
相关论文
共 50 条
  • [1] ON MATHEMATICAL MODELLING OF HEAT AND MOISTURE DISTRIBUTION IN POROUS MULTILAYER MEDIA
    Aboltins, Aivars
    Kalis, Harijs
    Kangro, Ilmars
    [J]. 15TH INTERNATIONAL SCIENTIFIC CONFERENCE: ENGINEERING FOR RURAL DEVELOPMENT, 2016, : 37 - 44
  • [2] Mathematical modelling of moisture desorption in a porous medium
    Peng, SW
    Mizukami, K
    Liu, W
    [J]. INTERNATIONAL JOURNAL OF ENERGY RESEARCH, 1996, 20 (10) : 923 - 931
  • [3] Numerical modelling of moisture swelling in unsaturated porous media
    Kolditz, O
    Kohlmeier, M
    Thorenz, C
    Shao, H
    [J]. COMPUTATIONAL METHODS IN WATER RESOURCES, VOLS 1 AND 2, PROCEEDINGS, 2002, 47 : 1 - 8
  • [4] ON MATHEMATICAL MODELLING OF HEAT AND MOISTURE DISTRIBUTION IN THE DRYING PROCESS FOR POROUS TWO LAYERED GYPSUM BOARD PRODUCTS
    Aboltins, Aivars
    Kalis, Harijs
    Kangro, Ilmars
    [J]. 16TH INTERNATIONAL SCIENTIFIC CONFERENCE: ENGINEERING FOR RURAL DEVELOPMENT, 2017, : 134 - 141
  • [5] Mathematical modelling of transport phenomena in concrete porous media
    Plecas, Ilija
    [J]. EPITOANYAG-JOURNAL OF SILICATE BASED AND COMPOSITE MATERIALS, 2009, 61 (01): : 11 - 13
  • [6] Calculation of heat and moisture distribution in the porous media layer
    Kalis, H.
    Kangro, I.
    [J]. MATHEMATICAL MODELLING AND ANALYSIS, 2007, 12 (01) : 91 - 100
  • [7] Numerical Modelling of Moisture Transfer in Saturated and Non-saturated Porous Media
    Krejci, T.
    Koudelka, T.
    Broucek, M.
    [J]. 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 988 - 991
  • [8] MOISTURE DESORPTION OF PADDY BY TWO DIFFERENT POROUS MEDIA: MATHEMATICAL MODELS AND EXPERIMENTAL DATA
    Wiriyaumpaiwong, Songchai
    Raikham, Kittiporn
    Yangvo, Pannee
    Soponronnarit, Somchart
    [J]. JOURNAL OF FOOD PROCESS ENGINEERING, 2009, 32 (03) : 319 - 337
  • [9] Mathematical modelling of leaching by irregular wetting fronts in chemically heterogeneous porous media
    Martin, Miguel Angel
    [J]. GEODERMA, 2006, 134 (3-4) : 267 - 273
  • [10] Modelling moisture transport for a predominant water vapour diffusion in a partially saturated porous media
    Mchirgui, Walid
    Millet, Olivier
    Amiri, Ouali
    [J]. EUROPEAN JOURNAL OF ENVIRONMENTAL AND CIVIL ENGINEERING, 2013, 17 (03) : 202 - 218