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Solutions of special type describing the three dimensional thermocapillary flows with an interface

机译：用接口描述三维热毛细流的特殊类型的解决方案

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摘要

The convective fluid flows with an interface are modeled using the classical Oberbeck-Boussinesq model of convection. The three dimensional solutions for the infinite domains with fixed heat-insulated boundaries and with the interface under action of a longitudinal temperature gradient are studied. Construction of the solutions for the flows of two immiscible fluids in a channel with a rectangular cross-section is carried out using a complete problem statement. The kinematic and dynamic conditions are prescribed at the interface. The additional condition of continuity of the tangential velocities, the conditions of continuity of temperature and of the thermal fluxes are assumed to be fulfilled on the interface. In the present paper the fluid flows are studied in the stationary case under conditions of gravity and microgravity. To investigate this problem numerically an iteration algorithm is introduced. This algorithm is based on a finite difference scheme (the alternating direction method) and it allows to find all the components of velocity for both phases and temperature distributions. The examples of flows which can be characterized as a combination of the translational and progressively rotational types of motion are presented.
机译：使用经典的对流Oberbeck-Boussinesq模型对具有接口的对流流体进行建模。研究了具有固定绝热边界和在纵向温度梯度作用下的界面的无限域的三维解。使用完整的问题陈述来构造两种不混溶流体在具有矩形横截面的通道中的流动的解决方案。在接口上规定了运动和动态条件。假定切向速度的连续性的附加条件，温度和热通量的连续性条件都在界面上得到满足。在本文中，研究了在重力和微重力条件下静止情况下的流体流动。为了数值地研究这个问题，引入了迭代算法。该算法基于有限差分方案（交替方向方法），可以找到相和温度分布的所有速度分量。给出了可以被描述为运动的平移和渐进旋转类型的组合的流的示例。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2012年第4期|p.715-725|共11页
  • 作者

    Olga N. Goncharova; Oleg A. Kabov; Vladislav V. Pukhnachov;

  • 作者单位

    Altai State University, Faculty of Mathematics, Department of Differential Equations, Prosp. Lenina 61, Barnaul 656049, Russia,Institute ofThermophysics, Russian Academy of Sciences, Lavrentyev Prosp. 1, Novosibirsk 630090, Russia,Heat Transfer International Research Institute ofUniversite Libre de Bruxelles and Institute of Thermophysics of Russian Academy of Sciences, Av. F.D. Roosevelt 50, B-1050Bruxelles, Belgium;

    rnInstitute ofThermophysics, Russian Academy of Sciences, Lavrentyev Prosp. 1, Novosibirsk 630090, Russia,Heat Transfer International Research Institute of Universite Libre de Bruxelles and Institute of Thermophysics of Russian Academy of Sciences, Av. F.D. Roosevelt 50, B-1050Bruxelles, Belgium,Universite Libre de Bruxelles, Chimie-Physique EP Microgravity Research Center, Av. F.D. Roosevelt 50, B-1050 Bruxelles, Belgium,Centre of Smart Interfaces, Technische Universitaet Darmstadt, Petersenstrasse 32, Darmstadt 64287, Germany;

    rnLavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, Lavrentyev Prosp. 15, Novosibirsk 630090, Russia,Novosibirsk State University, Faculty of Mechanics and Mathematics, ul. Pirogova 2, Novosibirsk 630090, Russia;

  • 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

    convection; interface; special solutions; longitudinal temperature gradient; gravity effect;

    机译：对流界面特殊解纵向温度梯度重力效应;

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