Instability from Steady and Axisymmetric to Steady and Asymmetric Floating Half Zone Convection in a Fat Liquid Bridge of Larger Prandtl Number
CHEN Qi-sheng1,2, HU Wen-rui1
1Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2Department of Mechanical Engineeing, State University of New York, Stony Brook, NY 11794, USA
Instability from Steady and Axisymmetric to Steady and Asymmetric Floating Half Zone Convection in a Fat Liquid Bridge of Larger Prandtl Number
CHEN Qi-sheng1,2;HU Wen-rui1
1Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2Department of Mechanical Engineeing, State University of New York, Stony Brook, NY 11794, USA
Abstract: The linear instability analysis of the present paper shows that the thermocapillary convection in a half floating zone of larger Prandtl number has a steady instability mode ωi = 0 and m = 1 for a fat liquid bridge V = 1.2 with small geometrical aspect ratio A = 0.6. This conclusion is different from the usual idea of hydrothermal instability, and implies that the instability of the system may excite a steady and axial asymmetric state before the onset of oscillation in the case of large Prandtl number.
CHEN Qi-sheng;HU Wen-rui. Instability from Steady and Axisymmetric to Steady and Asymmetric Floating Half Zone Convection in a Fat Liquid Bridge of Larger Prandtl Number[J]. 中国物理快报, 1999, 16(11): 822-823.
CHEN Qi-sheng, HU Wen-rui. Instability from Steady and Axisymmetric to Steady and Asymmetric Floating Half Zone Convection in a Fat Liquid Bridge of Larger Prandtl Number. Chin. Phys. Lett., 1999, 16(11): 822-823.