### Abstract

The exact solutions of the Oberbeck Boussinesq equations for simulating the Gravitational Thermocapillary convection of fluid in the horizontal layer with the free boundary in co-Current fluid gas-flow interface is found. The gas flow caused by a constant pressure difference is determined as the Poiseuille solution of the set of Navier Stokes equations for a viscous incompressible fluid. When the solid boundary of the fluid layer is thermally insulated and the free boundary is warmed up through the gas flow the steady convective motion is established in the plane horizontal fluid layer. The possible flow patterns for various values of the Rayleigh and Marangoni numbers and the specific gas flow rate show possible character of motion of ethanol for a co-current nitrogen flow. It is also found that under zero-gravity conditions, the fluid carries away the gas near the interface in the motion opposite to the basic flow.

Original language | English |
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Pages (from-to) | 242-247 |

Number of pages | 6 |

Journal | Doklady Physics |

Volume | 54 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 May 2009 |

### ASJC Scopus subject areas

- Mechanics of Materials
- Computational Mechanics
- Physics and Astronomy(all)

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## Cite this

*Doklady Physics*,

*54*(5), 242-247. https://doi.org/10.1134/S1028335809050061