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Evolution of salt finger convection with steady wind shear

机译：稳定风切变作用下盐指对流的演变

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摘要

In oceanographics situations where salt fingers may be an important mechanism for the transport of heat and salt in the vertical direction, velocity shears may also be present. Salt finger convection is analogous to Benard convection in that the kinetic energy of the motions is obtained from the potential energy stored in the unstable distribution of a stratifying component. On the basis of the thermal analogy it is of interest to discover whether salt fingers are converted into two-dimensional sheets by wind shear, and how the vertical fluxes of heat and salt are changed by wind shear. Salt finger convection under the effect of steady wind shear is theoretically examined in this paper. The evolution of instability developing in the presence of a vertical density gradient disturbance and the horizontal Couette flow is considered near the onset of salt fingers under a moderate rate of shear. We use velocity as the basic variable and solve the pressure Poisson equation in terms of the associated Green function. Growth competition between the longitudinal rolls (LR) and the transverse rolls (TR), whose axes are, respectively, in the direction parallel to and perpendicular to the Couette flow, is investigated by the weakly nonlinear analysis of coupled-mode equations. The results show that the TR mode is stable under a small wind shear and the LR mode is stable for a higher wind shear.
机译：在海洋学中，盐指可能是垂直方向传热和盐分的重要机制，速度剪切也会出现。盐指对流类似于贝纳德对流，其中运动的动能是从分层成分的不稳定分布中存储的势能中获得的。基于热模拟，有趣的是发现是否通过风切变将盐指转化为二维薄片，以及如何通过风切变改变热量和盐分的垂直通量。从理论上研究了稳定风切变作用下的盐指对流。在中等剪切速率下，在盐指的开始附近，考虑到在垂直密度梯度扰动和水平库埃特流的存在下不稳定性的发展。我们将速度用作基本变量，并根据关联的格林函数求解压力泊松方程。通过耦合模式方程的弱非线性分析，研究了纵轴（LR）和横轴（TR）之间的增长竞争，纵轴和横轴的坐标分别平行于和垂直于库埃特流动。结果表明，TR模式在小风切变情况下是稳定的，而LR模式在大风切变情况下是稳定的。

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  • 来源
    《Acta astronautica》 |2011年第2期|p.22-27|共6页
  • 作者

    Ray-Yeng Yang; Hwung-Hweng Hwung; Igor V. Shugan;

  • 作者单位

    Tainan Hydraulics laboratory. National Cheng Kung University, 5th f., 500, Sec. 3, Anming Rd., Tainan 709, Taiwan;

    rnNational Cheng Kung University, Tainan 701, Taiwan;

    rnTainan Hydraulics laboratory. National Cheng Kung University, 5th f., 500, Sec. 3, Anming Rd., Tainan 709, Taiwan,Prochorov General Physics Institute of Russian Academy of Sciences, Vanilova 38, Moscow, Russia,Tainan Hydraulics Laboratory, National Cheng Kung University, 5th f., 500, Sec. 3, Anming Rd., Tainan 709,Taiwan;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    salt finger convection; wind shear; growth competition; longitudinal rolls; transverse rolls; coupled-mode equations;

    机译：盐指对流风切变增长竞争;纵向辊横向辊耦合模方程;

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