GROUP PROPERTIES AND EXACT SOLUTIONS OF EQUATIONS FOR VIBRATIONAL CONVECTION OF A BINARY MIXTURE

被引:2
|
作者
Ryzhkov, I. I. [1 ]
Stepanova, I. V. [1 ]
机构
[1] Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia
关键词
vibrational convection; binary mixture; thermodiffusion; group classification; partially invariant solutions; LAYER;
D O I
10.1134/S0021894411040080
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A model of vibrational convection of a binary mixture with the thermodiffusion effect is considered. The symmetries of model equations are found, depending on the values of physical parameters. A partially invariant solution, which describes separation of the binary mixture in a thermodiffusion column, is constructed and studied. The influence of streamwise vibrations on the flow regime and separation of the mixture is investigated.
引用
收藏
页码:560 / 570
页数:11
相关论文
共 50 条
  • [1] Group properties and exact solutions of equations for vibrational convection of a binary mixture
    I. I. Ryzhkov
    I. V. Stepanova
    Journal of Applied Mechanics and Technical Physics, 2011, 52 : 560 - 570
  • [2] Group classification for equations of thermodiffusion in binary mixture
    Stepanova, Irina V.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (06) : 1341 - 1346
  • [3] Vibrational convection of a binary mixture in connected channels
    I. A. Babushkin
    A. F. Glukhov
    V. A. Demin
    Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, 2009, 3 : 148 - 153
  • [4] Vibrational convection of a binary mixture in connected channels
    Babushkin, I. A.
    Glukhov, A. F.
    Demin, V. A.
    JOURNAL OF SURFACE INVESTIGATION-X-RAY SYNCHROTRON AND NEUTRON TECHNIQUES, 2009, 3 (01) : 148 - 153
  • [5] Symmetry Analysis of Equations for Convection in Binary Mixture
    Ryzhkov, Ilya I.
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2008, 1 (04): : 410 - 431
  • [6] LIE GROUP CLASSIFICATION AND EXACT SOLUTIONS OF THE GENERALIZED KOMPANEETS EQUATIONS
    Patsiuk, Oleksii
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [7] Stationary convection in a binary mixture of ferrofluids in a porous medium
    Hounsou, P.
    Monwanou, A., V
    Miwadinou, C. H.
    Chabi Orou, J. B.
    FLUID DYNAMICS RESEARCH, 2020, 52 (03)
  • [8] Mixed convection of a binary mixture in a porous medium
    Joulin, A
    Ouarzazi, MN
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE, 2000, 328 (04): : 311 - 316
  • [9] Rotating convection in a binary viscoelastic liquid mixture
    Laroze, D
    Martínez-Mardones, J
    Pérez-Garcia, CP
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (10): : 3329 - 3336
  • [10] Development of convection in binary mixture with soret effect
    Valentina Shevtsova
    Denis Melnikov
    Alexander Mialdun
    Jean Claude Legros
    Microgravity - Science and Technology, 2006, 18 : 38 - 41