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Exact solution of Marangoni convection in a binary fluid with throughflow and Soret effect

机译：具有通流和Soret效应的二元流体中Marangoni对流的精确解

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摘要

The onset of Marangoni convection in a non-reactive binary fluid layer in the presence of throughflow and Soret effect is determined. The bottom boundary of the fluid layer is assumed to be either conducting or insulating to temperature and solute concentration perturbations while the top boundary is free and insulating. The linear stability analysis is followed and an exact solution is obtained for the corresponding eigenvalue problem by assuming that stationary convection is exhibited at the neutral state. The contribution from the Soret effect is seen only when the throughflow is weak, but however for a wider range of upward throughflow when the bottom boundary is conducting. The instability gets advanced/delayed when the Soret parameter assumes negative/positive values. The results agree well with the existing results in the literature for some particular cases.
机译：确定了在存在通流和Soret效应的情况下，非反应性二元流体层中Marangoni对流的发生。假定流体层的底部边界对温度和溶质浓度扰动是传导或绝缘的，而顶部边界是自由且绝缘的。进行线性稳定性分析，并假设在中性状态下存在平稳对流，从而获得了对应特征值问题的精确解。只有当通流较弱时才能看到索雷特效应的贡献，但是当底部边界传导时，却可以看到更大范围的向上通流。当Soret参数采用负/正值时，不稳定性会增强/延迟。在某些特定情况下，结果与文献中的现有结果非常吻合。

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  • 来源
    《Applied Mathematical Modelling》 |2009年第9期|3674-3681|共8页
  • 作者

    S. Saravanan; T. Sivakumar;

  • 作者单位

    Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India;

    Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India;

  • 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

    stability; marangoni convection; soret effect;

    机译：稳定性;马兰戈尼对流痛感;

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