平均温度分布随时间变化时的Bénard对流

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The Benard Convection in a Layer of Fluid with a Time-Dependent Mean Temperature

Department of Modern Mechanics, University of Science and Technology of China, Hefei

摘要: 本文假定上、下平板之间温差随时间按指数规律变化,研究当界于两平板之间流体层的平均温度分布随时间变化时的Bénard对流,文中将临界Rayleigh数当作时间的函数,并将其按小参数展开成级数。在时间远离零点时,得到临界Rayleigh数的一个近似到二阶的非常简单的表达式。

Abstract: The onset of Bénard convection, or the critical Rayleigh number in a layer of fluid with a time-dependent mean temperature has been investigated theoretically. The critical Rayleigh number is regarded as a function of time and is expanded in series of a small parameter. Up to second approximation a simple expression of critical Rayleigh number is obtained for the time region for away from the point of zero.

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