The Convection Instability of Bhnard-Rayleigh Fluid Under Varied External Force |
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Authors: | LUO Xue-li WU Da-jin |
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Affiliation: | Department of Physics, Huazhong University of Science and Technology Wuhan 430074, China |
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Abstract: | A new model of Bknard-Rayleigh convection has been put forward from mantle convection and liquid crystal, where the external force deviates from constant to a lineal function of vertical dimension z. The dimensionless parameter ε is induced to describe the scale of this kind of deviations. Through linear stability analyses, we find that even-odd symmetry broken appears. By numerical calculation under rigid boundary conditions, we find that αc is almost α constant but Rc decreases nonlinearly as ε increases, so the increase of ε benefits convection. When ε=0, all results reduce to the former works automatically. |
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