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TVT, 2015, Volume 53, Issue 6, Pages 961–964 (Mi tvt8016)  

This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

Twisting of a fire vortex subject to gravity and Coriolis forces

S. P. Bautina, I. Yu. Krutovab, A. G. Obukhovc

a Urals State University of Railway Transport, Ekaterinburg
b Snezhinsk Physiń Institute of the National Research Nuclear University MEPhI
c Tyumen State Oil and Gas University

Abstract: A set of gas dynamics equations for an ideal polytropic gas is considered in the isentropic case subject to gravity and Coriolis forces. For this system a special characteristic Cauchy problem is formulated, the solution of which described the motion of air, which is originally motionless in the field of gravity, during smooth heating of a vertical cylinder placed in it. It is proved that the formulated problem in some neighborhood of a point under consideration has a unique analytical solution in the form of a convergent series subject to the analyticity of the basic data. Analysis of the first coefficients of this series showed that heating the cylinder in air causes a circular gas motion swirling in the negative direction in the Northern Hemisphere and in the positive direction in the Southern Hemisphere. The facts ascertained are mathematical justification of the direction of twisting of fire vortices.

DOI: https://doi.org/10.7868/S0040364415050038

Full text: PDF file (159 kB)
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English version:
High Temperature, 2015, 53:6, 928–930

Bibliographic databases:

UDC: 533.6
Received: 28.01.2015

Citation: S. P. Bautin, I. Yu. Krutova, A. G. Obukhov, “Twisting of a fire vortex subject to gravity and Coriolis forces”, TVT, 53:6 (2015), 961–964; High Temperature, 53:6 (2015), 928–930

Citation in format AMSBIB
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\by S.~P.~Bautin, I.~Yu.~Krutova, A.~G.~Obukhov
\paper Twisting of a fire vortex subject to gravity and Coriolis forces
\jour TVT
\yr 2015
\vol 53
\issue 6
\pages 961--964
\mathnet{http://mi.mathnet.ru/tvt8016}
\crossref{https://doi.org/10.7868/S0040364415050038}
\elib{http://elibrary.ru/item.asp?id=24730607}
\transl
\jour High Temperature
\yr 2015
\vol 53
\issue 6
\pages 928--930
\crossref{https://doi.org/10.1134/S0018151X1505003X}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949984560}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Yu. Varaksin, “Air tornado-like vortices: Mathematical modeling”, High Temperature, 55:2 (2017), 286–309  mathnet  crossref  crossref  isi  elib
    2. S. P. Bautin, A. G. Obukhov, D. D. Barannikova, “Numerical simulation of fire vortices with consideration of gravity and Coriolis forces”, High Temperature, 56:2 (2018), 229–233  mathnet  crossref  crossref  isi  elib  elib
    3. D. A. Cherentsov, S. P. Pirogov, S. M. Dorofeev, Y. S. Ryabova, “Oscillations of manometric tubular springs with rigid end”, International Conference Transport and Storage of Hydrocarbons, IOP Conference Series-Materials Science and Engineering, 357, IOP Publishing Ltd, 2018, UNSP 012030  crossref  isi  scopus
    4. P. V. Grigorieva, K. S. Voronin, D. A. Cherentsov, “Development of layout algorithm for pipeline, considering topographic features”, International Conference Transport and Storage of Hydrocarbons, IOP Conference Series-Materials Science and Engineering, 357, IOP Publishing Ltd, 2018, UNSP 012022  crossref  isi  scopus
    5. A. G. Zakirzakov, Yu. D. Zemenkov, K. A. Akulov, “Viability of using different types of main oil pipelines pump drives”, International Conference Transport and Storage of Hydrocarbons, IOP Conference Series-Materials Science and Engineering, 357, IOP Publishing Ltd, 2018, UNSP 012012  crossref  isi  scopus
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