Nonlinear model for Marangoni convection

被引：0
|
作者：
Department of Theoretical Physics, Indian Assoc. the Cultiv. of Sci., Jadavpur, Calcutta, 700032, India [1 ]
机构：
来源：
Physical Review E - Statistical, Nonlinaer, and Soft Matter Physics | 2001年 / 63卷 / 1 I期
关键词：
Bifurcation (mathematics) - Boundary conditions - Mathematical models - Thermoanalysis;
D O I：
10.1103/PhysRevE.63.012601
中图分类号：
学科分类号：
摘要：
A Lorenz-like model for Marangoni convection with finite wave number in large aspect ratio situations is constructed. There is exchange of stabilities at the onset of convection. Due to the presence of surface fluctuations, there is onset of oscillations. As the Marangoni number is increased, the oscillations become chaotic. It is shown that the principle of stability is true for the large aspect ratio system. The cylindrical rolls undergo a Hopf bifurcation as the first secondary instability.
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页码：012601 / 012601
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