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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 754–768 (Mi zvmmf16)  
This article is cited in 4 scientific papers (total in 4 papers)

Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case

O. M. Belotserkovskiia, V. V. Denisenkoa, A. V. Konyukhovb, A. M. Oparina, O. V. Troshkina, V. M. Chechetkinc

a Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056, Russia
b Institute of Thermophysical Extremal States, Joint Institute of High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 125412, Russia
c Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (2047 kB) Citations (4)
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Abstract: The stability of the laminar flow between two rotating cylinders (Taylor–Couette flow) is numerically studied. The simulation is based on the equations of motion of an inviscid fluid (Euler equations). The influence exerted on the flow stability by physical parameters of the problem (such as the gap width between the cylinders, the initial perturbation, and the velocity difference between the cylinders) is analyzed. It is shown that the onset of turbulence is accompanied by the formation of large vortices. The results are analyzed and compared with those of similar studies.
Key words: Taylor–Couette flow stability, numerical simulation of the Euler equation for inviscid fluid, turbulence.
Received: 22.10.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 729–742
DOI: https://doi.org/10.1134/S0965542509040162
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. M. Belotserkovskii, V. V. Denisenko, A. V. Konyukhov, A. M. Oparin, O. V. Troshkin, V. M. Chechetkin, “Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 754–768; Comput. Math. Math. Phys., 49:4 (2009), 729–742
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    1. Sodersten A., Matsunaga T., Koshizuka S., Hosaka T., Ishii E., “Adaptive Resizing-Based Multi-Resolution Particle Method”, Mech. Eng. J., 9:1 (2022), 21-00309–21-00309  crossref  isi
    2. Evgeny A. Krestin, Vladimir B. Zhilnikov, “Pressure distribution study in cone slot gap drives of electric power systems”, Urban construction and architecture, 12:3 (2022), 176  crossref
    3. Igor B. Petrov, Smart Innovation, Systems and Technologies, 214, Smart Modelling For Engineering Systems, 2021, 7  crossref
    4. O. V. Troshkin, “Nonlinear stability of a parabolic velocity profile in a plane periodic channel”, Comput. Math. Math. Phys., 53:11 (2013), 1729–1747  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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