Three-Dimensional Linear Instability Analysis of Thermocapillary Return Flow on a Porous Plane
ZHAO Si-Cheng1, LIU Qiu-Sheng1, NGUYEN-THI Henri2, BILLIA Bernard2
1Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 1001902IM2NP, UMR CNRS 6137, Université d'Aix-Marseille III, 13397 Marseille Cedex 20, France
Three-Dimensional Linear Instability Analysis of Thermocapillary Return Flow on a Porous Plane
ZHAO Si-Cheng1, LIU Qiu-Sheng1, NGUYEN-THI Henri2, BILLIA Bernard2
1Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 1001902IM2NP, UMR CNRS 6137, Université d'Aix-Marseille III, 13397 Marseille Cedex 20, France
摘要A three-dimensional linear instability analysis of thermocapillary convection in a fluid-porous double layer system, imposed by a horizontal temperature gradient, is performed. The basic motion of fluid is the surface-tension-driven return flow, and the movement of fluid in the porous layer is governed by Darcy's law. The slippery effect of velocity at the fluid-porous interface has been taken into account, and the influence of this velocity slippage on the instability characteristic of the system is emphasized. The new behavior of the thermocapillary convection instability has been found and discussed through the figures of the spectrum.
Abstract：A three-dimensional linear instability analysis of thermocapillary convection in a fluid-porous double layer system, imposed by a horizontal temperature gradient, is performed. The basic motion of fluid is the surface-tension-driven return flow, and the movement of fluid in the porous layer is governed by Darcy's law. The slippery effect of velocity at the fluid-porous interface has been taken into account, and the influence of this velocity slippage on the instability characteristic of the system is emphasized. The new behavior of the thermocapillary convection instability has been found and discussed through the figures of the spectrum.
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2010, Vol. 27 
