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
  • [31] Group classifications, optimal systems and exact solutions to the generalized Thomas equations
    Liu, Hanze
    Li, Jibin
    Liu, Lei
    Wei, Yuan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 383 (02) : 400 - 408
  • [32] Painlevé analysis, group classification and exact solutions to the nonlinear wave equations
    Hanze Liu
    Cheng-Lin Bai
    Xiangpeng Xin
    The European Physical Journal B, 2020, 93
  • [33] Painleve analysis, group classification and exact solutions to the nonlinear wave equations
    Liu, Hanze
    Bai, Cheng-Lin
    Xin, Xiangpeng
    EUROPEAN PHYSICAL JOURNAL B, 2020, 93 (02):
  • [34] Influence of separation ratio on Rayleigh-Benard convection solutions in a binary fluid mixture
    Ning Li-Zhong
    Wang Na
    Yuan Zhe
    Li Kai-Ji
    Wang Zhuo-Yun
    ACTA PHYSICA SINICA, 2014, 63 (10)
  • [35] Time-Periodic Traveling Solutions of Localized Convection Cells in Binary Fluid Mixture
    Watanabe, Takeshi
    Toyabe, Kazutaka
    Iima, Makoto
    Nishiura, Yasumasa
    THEORETICAL AND APPLIED MECHANICS JAPAN, 2011, 59 : 211 - 219
  • [36] Exact analytical solutions of the stokes equation for testing the equations of mantle convection with a variable viscosity
    V. P. Trubitsyn
    A. A. Baranov
    A. N. Eyseev
    A. P. Trubitsyn
    Izvestiya, Physics of the Solid Earth, 2006, 42 : 537 - 545
  • [37] New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations
    Cherniha, Roman
    Pliukhin, Oleksii
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (33) : 10049 - 10070
  • [38] Exact analytical solutions of the Stokes equation for testing the equations of mantle convection with a variable viscosity
    Trubitsyn, V. P.
    Baranov, A. A.
    Evseev, A. N.
    Trubitsyn, A. P.
    IZVESTIYA-PHYSICS OF THE SOLID EARTH, 2006, 42 (07) : 537 - 545
  • [39] Painleve properties and exact solutions of the generalized coupled KdV equations
    Ye, LJ
    Lin, J
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (05): : 313 - 320
  • [40] Dielectric properties and vibrational analysis of thiamine hydrochloride- DMSO binary mixture
    Lakhamawad, H. N.
    Pabboj, V. S.
    Jinklor, G. T.
    Rander, D. N.
    Kanse, K. S.
    Joshi, Yogesh
    Kumbharkhane, A. C.
    Rana, V. A.
    SPECTROSCOPY LETTERS, 2025,