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Thermal vibrational convection in near-critical fluids. Part 1. Non-uniform heating

Published online by Cambridge University Press:  15 September 2006

D. LYUBIMOV ,
T. LYUBIMOVA ,
A. VOROBEV ,
A. MOJTABI  and
B. ZAPPOLI
D. LYUBIMOV
Affiliation:
Theoretical Physics Department, Perm State University, Perm, 614990, Russia
T. LYUBIMOVA
Affiliation:
Institute of Continuous Media Mechanics, Perm, 614013, Russia
A. VOROBEV
Affiliation:
Theoretical Physics Department, Perm State University, Perm, 614990, Russia Present address: The University of Michigan – Dearborn, Dearborn, MI 48128, USA.
A. MOJTABI
Affiliation:
Institut de Mecanique des Fluides, Toulouse, 31062, France
B. ZAPPOLI
Affiliation:
Centre National d'Etudes Spatiales, Toulouse, 31055, France
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Abstract

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A theoretical model describing the response of a single-phase near-critical fluid to small-amplitude, high-frequency translational vibrations is developed on the basis of the multiple-scale and averaging methods. Additionally to the usual terms of thermal convection, the equations and boundary conditions contain new terms responsible for the generation of pulsating and average flows due to vibrational forcing and fluid compressibility. The effect of compressibility is taken into account both in the boundary layers and in the bulk. A number of classical problems of convection and thermoacoustics are considered on the basis of the new model.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 564 , 10 October 2006 , pp. 159 - 183
Copyright
© 2006 Cambridge University Press