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Evaporation-driven thermocapillary Marangoni convection in liquid layers of different depths

机译:蒸发驱动的不同深度的液层中的热毛细管Marangoni对流

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摘要

In the experimental part, which employed infrared (IR) camera, temperature distributions at the free surface of ethanol layers in deep and shallow vessels under room temperature or subjected to heating from below in the 68–105 °C temperature range (including the ethanol boiling temperature of 78.3 °C) were studied, and correlated with the heater surface temperature. The regular and irregular Marangoni convection patterns were recognized. Light particles fully entrained by the Marangoni convection on the free surface were tracked and their velocities were measured and compared to the theoretical predictions. Namely, a model was developed for the Marangoni-driven convection due to a non-uniform evaporation-related cooling of the free surface of a liquid in an open vessel. In this case, an analytical solution of the plane problem in the creeping flow approximation was found using the general Goursat solution of the biharmonic equation for the stream function and the complex potential technique of Kolosov and Muskhelishvili. The velocity of thermocapillarity-driven motion of tiny particles toward the cooler center was predicted and found to be in reasonable agreement with the experimental result.
机译:在使用红外(IR)摄像机的实验部分中,室温或在68–105 C的温度范围内从下方加热(包括乙醇沸腾)时,深层和浅层容器中乙醇层自由表面的温度分布温度为78.3°C)进行了研究,并与加热器表面温度相关。规则和不规则的Marangoni对流模式得到了认可。跟踪了在自由表面上被Marangoni对流完全夹带的轻粒子,并测量了它们的速度并将其与理论预测值进行比较。即,由于在敞口容器中对液体的自由表面进行了与蒸发有关的不均匀冷却,因此开发了一种用于Marangoni驱动对流的模型。在这种情况下,使用双谐方程的通用Goursat解来求解流函数,并使用Kolosov和Muskhelishvili的复势技术,找到了蠕变流近似中的平面问题的解析解。预测了由热毛细作用驱动的微小颗粒向冷却器中心运动的速度,并与实验结果合理吻合。

著录项

  • 来源
  • 作者

    A. Sankaran; A.L. Yarin;

  • 作者单位

    Department of Mechanical and Industrial Engineering, University of Illinois at Chicago;

    Department of Mechanical and Industrial Engineering, University of Illinois at Chicago;

  • 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

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