Thermal vibrational convection in near-critical fluids. Part 2. Weakly non-uniform heating
Thermal vibrational convection in near-critical fluids. Part 2. Weakly non-uniform heating
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.
185-196
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
October 2006
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 2. Weakly non-uniform heating.
Journal of Fluid Mechanics, 564, .
(doi: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.
Text
vorobev2.pdf
- Other
More information
Published date: October 2006
Identifiers
Local EPrints ID: 48860
URI: http://eprints.soton.ac.uk/id/eprint/48860
ISSN: 0022-1120
PURE UUID: e4a1772d-4282-4dbd-9228-6cc338aeeaee
Catalogue record
Date deposited: 16 Oct 2007
Last modified: 16 Mar 2024 03:57
Export record
Altmetrics
Contributors
Author:
D. Lyubimov
Author:
T. Lyubimova
Author:
A. Mojtabi
Author:
B. Zappoli
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics