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

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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.

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Authors and Affiliations

  1. Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056, Russia

    O. M. Belotserkovskii, V. V. Denisenko, A. M. Oparin & O. V. Troshkin

  2. Institute of Thermophysical Extremal States, Joint Institute of High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 125412, Russia

    A. V. Konyukhov

  3. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    V. M. Chechetkin

Authors
  1. O. M. Belotserkovskii
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  2. V. V. Denisenko
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  3. A. V. Konyukhov
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  4. A. M. Oparin
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  5. O. V. Troshkin
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  6. V. M. Chechetkin
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Correspondence to O. M. Belotserkovskii.

Additional information

Original Russian Text © O.M. Belotserkovskii, V.V. Denisenko, A.V. Konyukhov, A.M. Oparin, O.V. Troshkin, V.M. Chechetkin, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 4, pp. 754–768.

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Belotserkovskii, O.M., Denisenko, V.V., Konyukhov, A.V. et al. Numerical stability analysis of the Taylor-Couette flow in the two-dimensional case. Comput. Math. and Math. Phys. 49, 729–742 (2009). https://doi.org/10.1134/S0965542509040162

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  • DOI: https://doi.org/10.1134/S0965542509040162

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