MECHANISM OF THE PATTERN-FORMATION IN RAYLEIGH-BENARD CONVECTION

被引：1

作者：

MIZUSHIMA, J

机构：

[1] Faculty of Engineering, Doshisha University, Kyoto, Kamigyo-ku

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1994年 / 63卷 / 01期

关键词：

PATTERN FORMATION; RAYLEIGH BENARD CONVECTION; STABILITY;

D O I：

10.1143/JPSJ.63.101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A set of model equations, which describe the time development of the amplitudes of Fourier modes, are proposed to clarify the mechanism of the pattern formation in Rayleigh-Benard convection with free-rigid boundaries. It is shown that a hexagonal cellular pattern and two-dimensional rolls are steady solutions of the set of model equations. The bifurcation diagram of these solutions is obtained together with their stabilities. Results of numerical simulations for the set of model equations illustrate the mechanism of the pattern formation.

引用

页码：101 / 110

页数：10