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Numerical Modeling of the Tangential Stress Effects on Convective Fluid Flows in an Open Cavity

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Abstract

Mathematical and numerical modeling of convection of fluids in a domain with a free boundary being subjected to an effect of a gas phase is widely investigated nowadays. When a gas medium generates on the free boundary the tangential stresses effected by evaporation, the additional characteristics of the convective flows should be studied. The new experiments in the frame of the scientific project CIMEX of the European Space Agency demand a mathematical modeling and preliminary investigation of the different features of the fluid flows. A stationary problem of convection in a rectangular cavity with a non-deformed thermocapillary boundary under conditions of gravity and zero-gravity is considered. The tangential forces created by the external gas flows on the free boundary are taken into account. Different kinds of a dependence of the tangential stresses on a longitudinal coordinate is investigated numerically. The simulations are carried out for a liquid filled cavities with different aspect ratio. The paper presents topology of the convective fluid flows in the conditions corresponding qualitatively to the CIMEX experiment.

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Authors and Affiliations

  1. Faculty of Mathematics, Department of Differential Equations, Altai State University, pr. Lenina 61, Barnaul, 656049, Russian Federation

    Olga N. Goncharova

  2. Microgravity Research Center, Universite Libre de Bruxelles, Av. Roosevelt 50, 1050, Brussels, Belgium

    Olga N. Goncharova & Oleg A. Kabov

  3. Institute of Thermophysics, Russian Academy of Sciences, Novosibirsk, Russian Federation

    Oleg A. Kabov

Authors
  1. Olga N. Goncharova
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  2. Oleg A. Kabov
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Correspondence to Olga N. Goncharova.

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Goncharova, O.N., Kabov, O.A. Numerical Modeling of the Tangential Stress Effects on Convective Fluid Flows in an Open Cavity. Microgravity Sci. Technol. 21 (Suppl 1), 119–127 (2009). https://doi.org/10.1007/s12217-009-9124-x

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  • DOI: https://doi.org/10.1007/s12217-009-9124-x

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