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Stability of the poiseuille flow in a longitudinal magnetic field

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Abstract

The stability to small perturbations of a 2D flow of a conducting viscous fluid with large Reynolds numbers in a longitudinal magnetic field is investigated. A complete linearized system of magnetohydrodynamics equations is considered using the method of collocations and the differential sweep method. The dependences of the critical Reynolds numbers on the electrical conductivity are analyzed in detail. A new instability branch for large Reynolds numbers and a jumpwise variation of the critical Reynolds numbers are discovered.

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Authors and Affiliations

  1. Polzunov Altai State Technical University, pr. Lenina 46, Barnaul, 656038, Russia

    A. V. Proskurin & A. M. Sagalakov

Authors
  1. A. V. Proskurin
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  2. A. M. Sagalakov
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Correspondence to A. V. Proskurin.

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Original Russian Text © A.V. Proskurin, A.M. Sagalakov, 2012, published in Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 82, No. 5, pp. 29–35.

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Proskurin, A.V., Sagalakov, A.M. Stability of the poiseuille flow in a longitudinal magnetic field. Tech. Phys. 57, 608–614 (2012). https://doi.org/10.1134/S1063784212050234

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  • DOI: https://doi.org/10.1134/S1063784212050234

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