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Thermal vibrational convection in near-critical fluids. Part 2. Weakly non-uniform heating

Lyubimov, Dimitry and Lyubimova, Tanya and Vorobev, Anatoliy and Mojtabi, Abdelkader and Zappoli, Bernard Thermal vibrational convection in near-critical fluids. Part 2. Weakly non-uniform heating. (2006) Journal of Fluid Mechanics, 564. 185-196. ISSN 0022-1120

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Official URL: https://doi.org/10.1017/S002211200600142X

Abstract

The governing equations and effective boundary conditions to describe thermal vibrational convection in a near-critical fluid are derived with the help of the multiple-scale method and averaging procedure. In contrast to Part 1, this paper focuses on the effects of density non-homogeneities caused not by external heating but by vibrational and gravity stratifications due to the divergent mechanical compressibility of near-critical media. It is shown that vibrations generate non-homogeneities in the average temperature, which result in the onset of thermal convection even under isothermal boundary conditions. An agreement with the results of previous numerical and asymptotical analyses and with experiments is found.

Item Type:Article
HAL Id:hal-01946088
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National d'Études Spatiales - CNES (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Other partners > Perm state university (RUSSIA)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Laboratory name:
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Deposited By: Isabelle Perez
Deposited On:19 Nov 2018 15:36

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