Stability of the heated liquid film in the presence of the thermocapillary effect

被引:0
作者
S. P. Aktershev
机构
[1] Kutateladze Institute of Thermophysics SB RAS,
来源
Thermophysics and Aeromechanics | 2013年 / 20卷
关键词
nonisothermal liquid film; stability; thermocapillary effect; stationary waves;
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学科分类号
摘要
Stability of the flow of the heated liquid film is studied in the presence of the thermocapillary effect. To describe the waves in the film, the integral model is used. According to results of linear analysis of stability, the thermocapillary effect expands the area of instability only at low values of Peclet number Pe, and at high values of Pe, the instability area narrows. Wave evolution in the film on a substrate with the fixed temperature was simulated numerically. Results of numerical simulations agree with the linear theory of stability.
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页码:1 / 16
页数:15
相关论文
共 25 条
  • [1] Goussis D.A.(1991)Surface wave and thermocapillary instabilities in a liquid film flow J. Fluid Mech. 223 24-45
  • [2] Kelly R.E.(2003)Thermocapillary instability and wave formation on a film falling down a uniformly heated plane J. Fluid Mech. 492 303-338
  • [3] Kalliadasis S.(2005)Thermocapillary long waves in a liquid film flow. Part 1. Low-dimensional formulation J. Fluid Mech. 538 199-222
  • [4] Demekhin E.A.(2005)Thermocapillary long waves in a liquid film flow. Part 2. Linear stability and nonlinear waves J. Fluid Mech. 538 223-244
  • [5] Ruyer-Quil C.(2002)Further accuracy and convergence results on the modeling of flows down inclined planes by weighed-residual approximations Phys. Fluids 14 170-183
  • [6] Velerade M.G.(2007)Heated falling films J. Fluid Mech. 592 295-334
  • [7] Ruyer-Quil C.(1968)Wave flow theory for a thin viscous liquid layer Fluid Dynamics 3 12-15
  • [8] Scheid B.(1995)Instability of a liquid film moving under the effect of gravity and gas flow Int. J. Heat Mass Transfer 38 2127-2134
  • [9] Kalliadasis S.(undefined)undefined undefined undefined undefined-undefined
  • [10] Velerade M.G.(undefined)undefined undefined undefined undefined-undefined