中文摘要：

通过二维流体力学基本方程组模拟了具有较强Soret效应（分离比ψ=-0.47）的混合流体在极小长高比（Γ=4）腔体内的Rayleigh-Benard对流运动.研究了极小长高比行波对流的动力学特性,得到了稳定的Undulation行波存在的r值范围,给出了稳定后的Undulation行波摆动周期Tp的变化规律,分析了极小长高比行波对流的r依赖性及稳定性.首次发现极小长高比Γ=4时,与长高比Γ=12和Γ=8时相比,在腔体两端的滚动生成和消失的现象不再出现.讨论了长高比对Undulation行波向行波过渡的影响.

英文摘要：

By the two dimensional hydrodynamic equations, the Rayleigh-Benard convection in binary fluid mixtures with strong Soret effect （ψ =-0.47） in a small-aspect-ratio（F=4） cell was simulated completely. The dynamics of traveling wave convection in a small-aspect-ratio was studied, the Rayleigh number r range in the existence of the stable Undulation traveling wave convection, the regularity of swing period Tp were given, the dependence of Rayleigh number and stability in a small-aspect-ratio were analyzed. For the small-aspect-ratio F=4, in contrast to F=12 and F=8, the rolling wave no longer generated and disappeared on the ends of the cell. The influence of the aspect-ratio on Undulation traveling wave convection was discussed.