Effects of modulation on Rayleigh-Benard convection. Part I

Effects of modulation on Rayleigh-Benard convection. Part I

The linear stability of a horizontal layer of fluid heated from below and above is considered. In addition to a steady temperature difference between the walls of the fluid layer, a time-dependent periodic perturbation is applied to the wall temperatures. Only infinitesimal disturbances are consider...

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Main Authors: B. S. Bhadauria, Lokenath Debnath
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204211541
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spelling doaj-0b6bf275121048b5a59de876f80960df2020-11-24T22:40:13ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-01200419991100110.1155/S0161171204211541Effects of modulation on Rayleigh-Benard convection. Part IB. S. Bhadauria0Lokenath Debnath1Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342001, IndiaDepartment of Mathematics, University of Texas - Pan American, Edinburg, TX 78539-2999, USAThe linear stability of a horizontal layer of fluid heated from below and above is considered. In addition to a steady temperature difference between the walls of the fluid layer, a time-dependent periodic perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. Numerical results for the critical Rayleigh number are obtained at various Prandtl numbers and for various values of the frequency. Some comparisons have been made with the known results.http://dx.doi.org/10.1155/S0161171204211541
collection DOAJ
language English
format Article
sources DOAJ
author B. S. Bhadauria
Lokenath Debnath
spellingShingle B. S. Bhadauria
Lokenath Debnath
Effects of modulation on Rayleigh-Benard convection. Part I
International Journal of Mathematics and Mathematical Sciences
author_facet B. S. Bhadauria
Lokenath Debnath
author_sort B. S. Bhadauria
title Effects of modulation on Rayleigh-Benard convection. Part I
title_short Effects of modulation on Rayleigh-Benard convection. Part I
title_full Effects of modulation on Rayleigh-Benard convection. Part I
title_fullStr Effects of modulation on Rayleigh-Benard convection. Part I
title_full_unstemmed Effects of modulation on Rayleigh-Benard convection. Part I
title_sort effects of modulation on rayleigh-benard convection. part i
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2004-01-01
description The linear stability of a horizontal layer of fluid heated from below and above is considered. In addition to a steady temperature difference between the walls of the fluid layer, a time-dependent periodic perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. Numerical results for the critical Rayleigh number are obtained at various Prandtl numbers and for various values of the frequency. Some comparisons have been made with the known results.
url http://dx.doi.org/10.1155/S0161171204211541
work_keys_str_mv AT bsbhadauria effectsofmodulationonrayleighbenardconvectionparti
AT lokenathdebnath effectsofmodulationonrayleighbenardconvectionparti
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