Lattice Boltzmann equation method in electrohydrodynamic problems

被引:140
作者
Kupershtokh, A. L. [1 ]
Medvedev, D. A.
机构
[1] Russian Acad Sci, Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia
[2] Otto Von Guericke Univ, Magdeburg, Germany
基金
俄罗斯基础研究基金会;
关键词
electrohydrodynamics; lattice Boltzmann equation; bubbles; electrostriction;
D O I
10.1016/j.elstat.2005.10.012
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A consistent lattice Boltzmann equation (LBE) model for simulating different electrohydrodynamic (EHD) phenomena is developed. The model includes fluid dynamics, electric charge transport via advection and conduction currents, and action of electric forces upon space charges in liquid. Problems with different thermodynamic phases (liquid and gaseous) and phase transitions, and with inhomogeneous and density-dependent electric permittivity and conductivity can also be simulated, as well as charge injection and recombination. Deformations and breakup of conductive vapor bubbles, bubble deformation due to electrostriction, dynamics of drops with different electric permittivity were simulated. Simulations show the great potential of the method especially for problems with free boundaries (systems with vapor bubbles and multiple components with different electric properties). (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:581 / 585
页数:5
相关论文
共 16 条
[1]  
APFELBAUM MS, 2003, P 7 INT C MOD PROBL, P9
[2]   On mechanisms involved in the propagation of subsonic positive streamers in cyclohexane. [J].
Costeanu, L ;
Lesaint, O .
PROCEEDINGS OF THE 2002 IEEE 14TH INTERNATIONAL CONFERENCE ON DIELECTRIC LIQUIDS, 2002, :143-146
[3]   BUBBLES IN INSULATING LIQUIDS - STABILITY IN ELECTRIC FIELD [J].
GARTON, CG ;
KRASUCKI, Z .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1964, 280 (1380) :211-+
[4]   BOLTZMANN APPROACH TO LATTICE GAS SIMULATIONS [J].
HIGUERA, FJ ;
JIMENEZ, J .
EUROPHYSICS LETTERS, 1989, 9 (07) :663-668
[5]  
Karpov DI, 1998, CONFERENCE RECORD OF THE 1998 IEEE INTERNATIONAL SYMPOSIUM ON ELECTRICAL INSULATION, VOLS 1 AND 2, P607, DOI 10.1109/ELINSL.1998.694866
[6]  
KUPERSHTOKH AL, 2004, B NOVOSIBIRSK STATE, V4, P75
[7]  
KUPERSHTOKH AL, 2003, P 7 INT C MOD PROBL, P152
[8]   USE OF THE BOLTZMANN-EQUATION TO SIMULATE LATTICE-GAS AUTOMATA [J].
MCNAMARA, GR ;
ZANETTI, G .
PHYSICAL REVIEW LETTERS, 1988, 61 (20) :2332-2335
[9]  
Medvedev D.A., 2000, PROC 2 INT WORKSHOP, P60
[10]   Modeling of electrohydrodynamic flows and micro-bubbles generation in dielectric liquid by Lattice Boltzmann Equation method [J].
Medvedev, DA ;
Kupershtokh, AL .
PROCEEDINGS OF THE 2002 IEEE 14TH INTERNATIONAL CONFERENCE ON DIELECTRIC LIQUIDS, 2002, :45-48