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力学与实践 ›› 2010, Vol. 32 ›› Issue (5): 22-26.doi: 10.6052/1000-0879-lxysj2010-187

• 应用研究 • 上一篇    下一篇

计及交叉扩散时热盐双扩散对流系统的非线性稳定性分析

王守元   

  1. 中石化金陵石化公司,南京 210042
  • 收稿日期:2010-05-05 出版日期:2010-10-08 发布日期:2010-09-08

ANALYSIS OF NONLINEAR STABILITY OF DOUBLE-DIFFUSIVE CONVECTION WITH CROSS-DIFFUSION IN A THERMOHALINE SYSTEM

  • Received:2010-05-05 Online:2010-10-08 Published:2010-09-08

摘要: 对热盐双扩散对流系统的非线性稳定性进行了研究, 其中考虑了交叉扩散的影响. 利用 一个有限表达式来求解非线性方程组, 得到了较好的结果. 只需将交叉扩散系数表示为两个 参数, 就得出了更一般的$R_T$-$R_S$关系式, 以及定常有限振幅的表达式. 而当交叉扩散系数取为零时, 该式就还原为前人在不计及交叉扩散时导出的关系式.

关键词: 热盐系统,双扩散对流,交叉扩散,非线性稳定性

Abstract: In this paper, the nonlinear stability of double-diffusive convection with cross-diffusion in a thermohaline system is analyzed. By using a simple expression, the nonlinear equations are solved. By expressing two cross-diffusive coefficients by two parameters, a more general $R_T$-$R_S$ relation and expressions of steady finite amplitude are obtained. These expressions can be reduced to those previously-derived ones when both cross-diffusive coefficients are equal to zero.

Key words: themohaline system, double-diffusive convection, cross-diffusion, nonlinear stability