### 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.

Original language | English |
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Journal | Microgravity Science and Technology |

Volume | 21 |

Issue number | SUPPL. 1 |

DOIs | |

Publication status | Published - 1 Aug 2009 |

### Keywords

- Convection
- Free boundary
- Gravity
- Mathematical modeling
- Microgravity
- Numerical experiments
- Tangential stresses

### ASJC Scopus subject areas

- Modelling and Simulation
- Engineering(all)
- Physics and Astronomy(all)
- Applied Mathematics