A Continuation Method Applied to the Study of Thermocapillary Instabilities in Liquid Bridges

被引：1
|
作者：
Zhang, Jian-Kang [3 ]
Xun, Bo [4 ]
Chen, Paul G. [1 ,2 ]
机构：
[1] Univ Aix Marseille, CNRS, UMR 6181, Lab M2P2, F-13451 Marseille 20, France
[2] Univ Cent Marseille, CNRS, UMR 6181, Lab M2P2, F-13451 Marseille 20, France
[3] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China
[4] Chinese Acad Sci, Natl Micrograv Lab, Inst Mech, Beijing 100190, Peoples R China
来源：
MICROGRAVITY SCIENCE AND TECHNOLOGY | 2009年 / 21卷
关键词：
Thermocapillary instability; Liquid bridge; Continuation method; Microgravity; CONVECTION; POINTS;
D O I：
10.1007/s12217-009-9111-2
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
A continuation method is applied to investigate the linear stability of the steady, axisymmetric thermocapillary flows in liquid bridges. The method is based upon an appropriate extended system of perturbation equations depending on the nature of transition of the basic flow. The dependence of the critical Reynolds number and corresponding azimuthal wavenumber on serval parameters is presented for both cylindrical and non-cylindrical liquid bridges.
引用
收藏
页码：111 / 117
页数：7
相关论文
共 50 条
  • [21] Effect of Marangoni Number on Thermocapillary Convection and Free-Surface Deformation in Liquid Bridges
    Zhang Yin
    Huang Hu-Lin
    Zhou Xiao-Ming
    Zhu Gui-Ping
    Zou Yong
    JOURNAL OF THERMAL SCIENCE, 2016, 25 (02) : 178 - 187
  • [22] Instability of thermocapillary convection in long liquid bridges of high Prandtl number fluids in microgravity
    Nishino, Koichi
    Yano, Taishi
    Kawamura, Hiroshi
    Matsumoto, Satoshi
    Ueno, Ichiro
    Ermakov, Michael K.
    JOURNAL OF CRYSTAL GROWTH, 2015, 420 : 57 - 63
  • [23] Effect of Marangoni number on thermocapillary convection and free-surface deformation in liquid bridges
    Yin Zhang
    Hu-Lin Huang
    Xiao-Ming Zhou
    Gui-Ping Zhu
    Yong Zou
    Journal of Thermal Science, 2016, 25 : 178 - 187
  • [24] Thermocapillary instabilities in a horizontal liquid layer under partial basal slip
    Kowal, Katarzyna N.
    Davis, Stephen H.
    Voorhees, Peter W.
    JOURNAL OF FLUID MECHANICS, 2018, 855 : 839 - 859
  • [25] Hydrothermal instability of thermocapillary convection in large-Prandtl-number liquid bridges under microgravity
    Chen, Qi-Sheng
    Liu, Ya-Chao
    ADVANCES IN SPACE RESEARCH, 2008, 41 (12) : 2126 - 2130
  • [26] Stability of thermocapillary flow in liquid bridges fully coupled to the gas phase
    Stojanovic, Mario
    Romano, Francesco
    Kuhlmann, Hendrik C.
    JOURNAL OF FLUID MECHANICS, 2022, 949
  • [27] Finite-size Lagrangian coherent structures in thermocapillary liquid bridges
    Romano, Francesco
    Kuhlmann, Hendrik C.
    PHYSICAL REVIEW FLUIDS, 2018, 3 (09):
  • [28] Influence of variable viscosity on the onset of hydrothermal waves in thermocapillary liquid bridges
    Kozhoukharova, Z
    Kuhlmann, HC
    Wanschura, M
    Rath, HJ
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1999, 79 (08): : 535 - 543
  • [29] Three-dimensional instabilities of ferromagnetic liquid bridges
    A. G. Papathanasiou
    A. G. Boudouvis
    Computational Mechanics, 1998, 21 : 403 - 408
  • [30] Thermocapillary flow instabilities of medium Prandtl number liquid in rotating annular pools
    Li, Han-Ming
    Shi, Wan-Yuan
    Ermakov, Michael K.
    INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2017, 120 : 233 - 243
12345