Double-Diffusive Interleaving: The Influence of Nonconstant Diffusivities

Double-Diffusive Interleaving: The Influence of Nonconstant Diffusivities
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双扩散交织:非恒定扩散率的影响

DOI:
10.1175/1520-0485(1995)025
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发表时间:
1995
期刊:
影响因子:
--
通讯作者:
B. Ruddick
B. Ruddick
中科院分区:
--
文献类型:
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作者:
David A. Walsh;B. Ruddick

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摘要用一个简单的模型研究了非恒定扩散系数和粘性对双扩散交错的影响。该分析允许的斜率,垂直波数,和增长速度最快的交织模式为指定的背景梯度的盐度和温度的预测。允许盐的扩散率是一个函数的密度比Rp导致一个更大的增长率和更低的垂直波数比在Toole和Georgi考虑的恒定扩散率的情况下,而跨前斜坡的侵入体基本上不受影响。包括在模型配方中的非恒定粘度被发现对溶液的形式没有影响。该模型预测的较大的垂直尺度和增长率可以追溯到一个增强的“有效扩散率”与不断增长的侵入体的扩散率梯度。一个变换被发现,转换系统与广义扩散系数检查这里的模拟…
Abstract The influence of nonconstant diffusivity and viscosity on double-diffusive interleaving is examined using a simple model. The analysis allows a prediction of the slope, vertical wavenumber, and growth rate of the fastest-growing interleaving mode for specified background gradients of salinity and temperature. Allowing the salt diffusivity to be a function of the density ratio Rp leads to a larger growth rate and a lower vertical wavenumber than in the constant diffusivity case considered by Toole and Georgi, while the cross-front slope of the intrusions is essentially unaffected. The nonconstant viscosity included in the model formulation is found to have no effect on the form of the solutions. The larger vertical scales and growth rates predicted by the model can be traced to an enhanced “effective diffusivity” resulting from the diffusivity gradients associated with the growing intrusions. A transformation is found that converts the system with generalized diffusivities examined here to the sim...