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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 064, 31 pp.
DOI: https://doi.org/10.20948/prepr-2018-64
(Mi ipmp2426)
 

This article is cited in 4 scientific papers (total in 4 papers)

Investigation of convective structures near the stability threshold in non-Boussinesq fluid. Part one—analysis of simple models

V. V. Kolmychkov, O. S. Mazhorova
Full-text PDF (629 kB) Citations (4)
References:
Abstract: The paper investigates stable convective structures in vertically asymmetric horizontal fluid layer. The asymmetry is caused by internal heat generation, variable thermal diffusion and variable kinematic viscosity (temperature and vertical coordinate dependence is considered). The first part of the paper provides analysis of Prandtl number effect on the planform selection in scope of amplitude equations and perturbation method. The second part of the paper deals with a comparison of theoretical data to results of 3D numerical simulation of convective instability in finite layer of non-Boussinesq fluid.
Keywords: Rayleigh–Bénard convection, convective stability, non-Boussinesq fluid, amplitude equations, perturbation method, rolls, hexagons, Prandtl number.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00436
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: V. V. Kolmychkov, O. S. Mazhorova, “Investigation of convective structures near the stability threshold in non-Boussinesq fluid. Part one—analysis of simple models”, Keldysh Institute preprints, 2018, 064, 31 pp.
Citation in format AMSBIB
\Bibitem{KolMaz18}
\by V.~V.~Kolmychkov, O.~S.~Mazhorova
\paper Investigation of convective structures near the stability threshold in non-Boussinesq fluid. Part one---analysis of simple models
\jour Keldysh Institute preprints
\yr 2018
\papernumber 064
\totalpages 31
\mathnet{http://mi.mathnet.ru/ipmp2426}
\crossref{https://doi.org/10.20948/prepr-2018-64}
\elib{https://elibrary.ru/item.asp?id=32809198}
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  • https://www.mathnet.ru/eng/ipmp2426
  • https://www.mathnet.ru/eng/ipmp/y2018/p64
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:209
    Full-text PDF :50
    References:42
     
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