Unsteady Flow of an Electrically Conducting Bingham Fluid in a Plane Magnetohydrodynamic Channel
- Authors: Vishnyakov V.I.1, Vishnyakova S.M.1, Druzhinin P.V.1, Pokrovskii L.D.1
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Affiliations:
- Bauman Moscow State Technical University
- Issue: Vol 60, No 3 (2019)
- Pages: 432-437
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161553
- DOI: https://doi.org/10.1134/S0021894419030040
- ID: 161553
Cite item
Abstract
The influence of a sudden change in the external magnetic field on the flow of an electrically conducting Bingham fluid in a two-dimensional channel is considered. It is demonstrated that a method of independent descriptions of the flows in plastic and viscous regions can be used for studying magnetohydrodynamic flows of the Bingham fluid. An exact equation is derived for the position of the plastic flow region boundary as a function of time and magnetic field induction. It is shown that the corresponding Cauchy problem has a unique asymptotically stable solution. Results of numerical integration for some values of parameters are presented; these result confirm the qualitative conclusions.
About the authors
V. I. Vishnyakov
Bauman Moscow State Technical University
Author for correspondence.
Email: sofvish@mail.ru
Russian Federation, Moscow, 105005
S. M. Vishnyakova
Bauman Moscow State Technical University
Email: sofvish@mail.ru
Russian Federation, Moscow, 105005
P. V. Druzhinin
Bauman Moscow State Technical University
Email: sofvish@mail.ru
Russian Federation, Moscow, 105005
L. D. Pokrovskii
Bauman Moscow State Technical University
Email: sofvish@mail.ru
Russian Federation, Moscow, 105005