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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 6, Pages 64–69
DOI: https://doi.org/10.15372/PMTF20160608
(Mi pmtf769)
 

This article is cited in 2 scientific papers (total in 2 papers)

Self-gravitating stability of a rotating fluid layer

A. A. Hasan

College of Engineering and Technology, Arab Academy for Science and Technology and Maritime Transport (AASTMT), Aswan, Egypt
Full-text PDF (175 kB) Citations (2)
Abstract: The self-gravitating instability of the present model is discussed by using a simple linear theory. The problem is formulated for a rotating fluid layer, and a dispersion relation valid for all kinds of perturbations is derived and discussed. The self-gravitating force is found to be a destabilizing factor for a small range of wavenumbers, while it is stabilizing in other ranges, depending on the density ratio of the fluids. For high values of the angular velocity, the rotational force produces a stabilizing effect and can suppress the self-gravitating instability. In the absence of the self-gravitating force, the model of a rotating fluid layer is marginally stable.
Keywords: self-gravitating, rotation, superposed fluids.
Received: 29.01.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 6, Pages 1016–1021
DOI: https://doi.org/10.1134/S0021894416060080
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: A. A. Hasan, “Self-gravitating stability of a rotating fluid layer”, Prikl. Mekh. Tekh. Fiz., 57:6 (2016), 64–69; J. Appl. Mech. Tech. Phys., 57:6 (2016), 1016–1021
Citation in format AMSBIB
\Bibitem{Has16}
\by A.~A.~Hasan
\paper Self-gravitating stability of a rotating fluid layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 6
\pages 64--69
\mathnet{http://mi.mathnet.ru/pmtf769}
\crossref{https://doi.org/10.15372/PMTF20160608}
\elib{https://elibrary.ru/item.asp?id=28103706}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 6
\pages 1016--1021
\crossref{https://doi.org/10.1134/S0021894416060080}
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  • https://www.mathnet.ru/eng/pmtf769
  • https://www.mathnet.ru/eng/pmtf/v57/i6/p64
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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