Numerical Study of Thermocapillary-Driven Capillary Pore Flows

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Results

 

   The calculated results for water and ethanol are shown. For both liquids, opposite flow directions and different temperature distribution are shown between superheating and subcooling cases.
    For the superheating case of water, the negative temperature gradient in the x-direction causes the clockwise flow circulation. In other words, the surface tension near the center of a meniscus surface is higher than one near the side wall because the temperature of side walls is higher than near center of a meniscus surface. This clockwise flow circulation convects heated liquid from the side wall into the meniscus surface. Therefore, isotherms are depressed into the meniscus surface. Returning flows at a center region convects down the cool water, pulling down the isotherms into the bottom.
    
For the subcooling case of water, the positive temperature gradient in the x-direction causes the counterclockwise flow circulation. The returning cooled liquid from lower portion depressed upward the isotherm. Compared with two different mode, circulation for a superheating case is stronger than one for a subcooling case. This is due to the overlap of buoyancy-driven flow and thermocapillary-driven flow for a superheating case.
   
 Similar profiles are obtained for ethanol case, as shown in the attached figures. However, ethanol has larger Marangoni number than water, and results in more circulations and depression of isotherm.

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