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Nonlinear Large-Scale Perturbations of Steady Thermal Convective Dynamo Regimes in a Plane Layer of Electrically Conducting Fluid Rotating about the Vertical Axis

Author

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  • Simon Ranjith Jeyabalan

    (Mathematics Center of the Porto University (CMUP), Mathematics Department, Faculty of Sciences, University of Porto, R. Campo Alegre s/n, 4169-007 Porto, Portugal)

  • Roman Chertovskih

    (Faculty of Engineering, University of Porto, Rua Roberto Frias, s/n, 4200-465 Porto, Portugal)

  • Sílvio Gama

    (Mathematics Center of the Porto University (CMUP), Mathematics Department, Faculty of Sciences, University of Porto, R. Campo Alegre s/n, 4169-007 Porto, Portugal)

  • Vladislav Zheligovsky

    (Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, 84/32 Profsoyuznaya St., 117997 Moscow, Russia)

Abstract

We present results of numerical investigation of regimes of steady thermal convective dynamo in a plane layer of electrically conducting fluid rotating about the vertical axis and subjected to large-scale perturbations.

Suggested Citation

  • Simon Ranjith Jeyabalan & Roman Chertovskih & Sílvio Gama & Vladislav Zheligovsky, 2022. "Nonlinear Large-Scale Perturbations of Steady Thermal Convective Dynamo Regimes in a Plane Layer of Electrically Conducting Fluid Rotating about the Vertical Axis," Mathematics, MDPI, vol. 10(16), pages 1-44, August.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2957-:d:889477
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    References listed on IDEAS

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    1. O. M. Podvigina, 2006. "Magnetic field generation by convective flows in a plane layer," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(4), pages 639-652, April.
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    Cited by:

    1. Tianwang Lai & Jimin Xu & Xiangyang Liu & Maogang He, 2022. "Study of Rotation Effect on Nanofluid Natural Convection and Heat Transfer by the Immersed Boundary-Lattice Boltzmann Method," Energies, MDPI, vol. 15(23), pages 1-15, November.
    2. Daniil Tolmachev & Roman Chertovskih & Vladislav Zheligovsky, 2023. "Algorithmic Aspects of Simulation of Magnetic Field Generation by Thermal Convection in a Plane Layer of Fluid," Mathematics, MDPI, vol. 11(4), pages 1-25, February.

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