MULTI-SCALE APPROACH TO POPULATION BALANCE MODELLING OF DISPERSE SYSTEMS

被引：0
|
作者：
Lakatos, Bela G. [1 ]
机构：
[1] Univ Pannonia, Inst Proc Engn, Egyet St 10, Veszprem, Hungary
来源：
SIMULTECH 2011: PROCEEDINGS OF THE 1ST INTERNATIONAL CONFERENCE ON SIMULATION AND MODELING METHODOLOGIES, TECHNOLOGIES AND APPLICATIONS | 2011年
基金：
匈牙利科学研究基金会;
关键词：
Disperse systems; Multi-scale modelling; Population balance; Crystallization; Two-population model;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A three-scale model is presented and analysed using the multi-scale methodology of complex systems. The micro-scale model is formulated as a set of stochastic differential equations for the individual disperse objects and it is shown that the population balance equation, containing also terms describing collision interchange of extensive quantities between the disperse elements is a meso-scale model of disperse systems. The macro-scale model is formulated by means of the moments of internal quantities. As an example a two-population model, governing the coupled behaviour of crystals and fluid elements is presented for describing micromixing in solution crystallization.
引用
收藏
页码：186 / 191
页数：6
相关论文
共 50 条
  • [41] Experimental validation studies on a multi-dimensional and multi-scale population balance model of batch granulation
    Poon, Jonathan M. -H.
    Ramachandran, Rohit
    Sanders, Constantijn F. W.
    Glaser, Thomas
    Immanuel, Charles D.
    Doyle, Francis J., III
    Litster, James D.
    Stepanek, Frantisek
    Wang, Fu-Yang
    Cameron, Ian T.
    CHEMICAL ENGINEERING SCIENCE, 2009, 64 (04) : 775 - 786
  • [42] Atomic scale modelling of materials: a prerequisite for any multi-scale approach to structural and dynamical properties
    Matsubara, Masahiko
    Celino, Massimo
    Salmon, Philip S.
    Massobrio, Carlo
    THEORY, MODELING AND NUMERICAL SIMULATION OF MULTI-PHYSICS MATERIALS BEHAVIOR, 2008, 139 : 141 - +
  • [43] A multi-scale conjugate heat transfer modelling approach for corrugated heat exchangers
    Greiciunas, Evaldas
    Borman, Duncan
    Summers, Jonathan
    Smith, Steve J.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2019, 139 : 928 - 937
  • [44] Multi-scale approach based constitutive modelling of plain woven textile composites
    Udhayaraman, R.
    Mulay, Shantanu S.
    MECHANICS OF MATERIALS, 2017, 112 : 172 - 192
  • [45] Multi-scale analysis of agricultural development: A modelling approach for Ilocos Norte, Philippines
    Laborte, Alice G.
    Van Ittersum, Martin K.
    Van den Berg, Marrit M.
    AGRICULTURAL SYSTEMS, 2007, 94 (03) : 862 - 873
  • [46] Radiation embrittlement modelling in multi-scale approach to brittle fracture of RPV steels
    Margolin, Boris
    Shvetsova, Victoria
    Gulenko, Alexander
    INTERNATIONAL JOURNAL OF FRACTURE, 2013, 179 (1-2) : 87 - 108
  • [47] Radiation embrittlement modelling in multi-scale approach to brittle fracture of RPV steels
    Boris Margolin
    Victoria Shvetsova
    Alexander Gulenko
    International Journal of Fracture, 2013, 179 : 87 - 108
  • [48] Rule acquisition in generalized multi-scale information systems with multi-scale decisions
    Wu, Wei-Zhi
    Niu, Dongran
    Li, Jinhai
    Li, Tong -Jun
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2023, 154 : 56 - 71
  • [49] Population balance modelling of particulate systems
    Hounslow, MJ
    CHEMICAL ENGINEERING SCIENCE, 2002, 57 (12) : 2123 - 2123
  • [50] Towards nexus thinking in energy systems modelling: A multi-scale, embodied perspective
    Di Felice, Louisa Jane
    Perez-Sanchez, Laura
    Manfroni, Michele
    Giampietro, Mario
    ENERGY POLICY, 2024, 187
12345