Double-diffusive interleaving due to horizontal gradients
Double-diffusive interleaving due to horizontal gradients
复制标题
由于水平梯度而产生的双扩散交错
DOI：
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发表时间：
1983
影响因子：
3.7
通讯作者：
J. Holyer
中科院分区：
文献类型：
--
作者：
J. Holyer
本文给出了具有补偿水平温度和盐度梯度的无界垂直分层流体的线性稳定性分析，因此不存在水平密度梯度。对于给定的线性水平和垂直梯度，我们得到了最不稳定扰动，并计算了增长率、入侵的垂直长度尺度和入侵到水平的斜率。我们发现，系统对二维扰动最不稳定，除了温度分层不稳定和盐度分层稳定的小区域外，最不稳定的扰动是非振荡的。我们还得到了全非线性方程的解，并计算了热和盐的通量。非线性解表明，当垂向分层均稳定时，岩体最终会出现盐指界面和扩散界面的交替界面。
In this paper we present a linear stability analysis for an unbounded, vertically stratified fluid which has compensating horizontal temperature and salinity gradients, so there is no horizontal density gradient. We obtain the most unstable perturbation for given linear horizontal and vertical gradients and calculate the growth rates, the vertical lengthscale of the intrusion and the slope of the intrusion to the horizontal. We show that the system is most unstable to two-dimensional disturbances and that, except for a small region in which the temperature stratification is unstable and the salinity stratification is stable, the most-unstable disturbance is non-oscillatory. We also obtain a solution to the fully nonlinear equations and calculate the fluxes of heat and salt. The nonlinear solution shows that alternating interfaces of salt-finger and diffusive interfaces will eventually appear on the intrusion when the vertical stratifications are both stable.