Abstract
We have studied the stability of the flow of a conducting viscous fluid in a flat channel in the presence of a longitudinal magnetic field. A new branch of instability has been found and a jumplike change in the critical Reynolds number has been observed.
Similar content being viewed by others
References
E. P. Velikhov, Zh. Éksp. Teor. Fiz. 36, 1192 (1959) [Sov. Phys. JETP 9, 848 (1959)].
A. Vorobev and O. Zikanov, J. Fluid Mech. 574, 131 (2007).
D. S. Krasnov, E. Zenicke, O. Zikanov, et al., J. Fluid Mech. 504, 183 (2004).
O. Zikanov, Phys. Fluids 9, 2923 (1996).
M. A. Gol’dshtik and V. N. Shtern, Hydrodynamic Stability and Turbulence (Nauka, Novosibirsk, 1977) [in Russian].
P. J. Schmid and D. S. Henningson Stability and Transition in Shear Flows (Springer-Verlag, New York, 2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Proskurin, A.M. Sagalakov, 2008, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2008, Vol. 34, No. 5, pp. 40–45.
Rights and permissions
About this article
Cite this article
Proskurin, A.V., Sagalakov, A.M. A new branch of instability of the magnetohydrodynamic Poiseuille flow in a longitudinal magnetic field. Tech. Phys. Lett. 34, 199–201 (2008). https://doi.org/10.1134/S1063785008030073
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785008030073