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

Thermal vibrational convection in near-critical fluids. Part 1. Non-uniform heating
Thermal vibrational convection in near-critical fluids. Part 1. Non-uniform heating
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.
0022-1120
159-183
Lyubimov, D.
af90d5a8-78a0-4b6a-9ca7-0c69a14c53e7
Lyubimova, T.
5c021d17-a1c6-49a6-97ce-3ea583eaed4b
Vorobev, A.
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Mojtabi, A.
1662baed-1b28-4764-82dc-c53c1e20fe06
Zappoli, B.
1251beb1-f42b-4279-abe4-1276f319e7fc
Lyubimov, D.
af90d5a8-78a0-4b6a-9ca7-0c69a14c53e7
Lyubimova, T.
5c021d17-a1c6-49a6-97ce-3ea583eaed4b
Vorobev, A.
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Mojtabi, A.
1662baed-1b28-4764-82dc-c53c1e20fe06
Zappoli, B.
1251beb1-f42b-4279-abe4-1276f319e7fc

Lyubimov, D., Lyubimova, T., Vorobev, A., Mojtabi, A. and Zappoli, B. (2006) Thermal vibrational convection in near-critical fluids. Part 1. Non-uniform heating. Journal of Fluid Mechanics, 564, 159-183. (doi:10.1017/S0022112006001418).

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Abstract

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.

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Published date: October 2006

Identifiers

Local EPrints ID: 48861
URI: http://eprints.soton.ac.uk/id/eprint/48861
ISSN: 0022-1120
PURE UUID: d8616750-7402-4997-b7b7-374705670fff
ORCID for A. Vorobev: ORCID iD orcid.org/0000-0002-6458-9390

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Date deposited: 16 Oct 2007
Last modified: 16 Mar 2024 03:57

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Contributors

Author: D. Lyubimov
Author: T. Lyubimova
Author: A. Vorobev ORCID iD
Author: A. Mojtabi
Author: B. Zappoli

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