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
ANALYSIS OF NONLINEAR STABILITY OF DOUBLE-DIFFUSIVE CONVECTION WITH CROSS-DIFFUSION IN A THERMOHALINE SYSTEM
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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.Abstract: In this paper, the nonlinear stability of double-diffusiveconvection with cross-diffusion in a thermohaline system is analyzed. Byusing a simple expression, the nonlinear equations are solved. Byexpressing two cross-diffusive coefficients by two parameters, a more generalR_T-R_S relation and expressions of steady finite amplitude areobtained. These expressions can be reduced to those previously-derived oneswhen both cross-diffusive coefficients are equal to zero.