Unsteady Flow of an Electrically Conducting Bingham Fluid in a Plane Magnetohydrodynamic Channel
| Autor: | L. D. Pokrovskii, V. I. Vishnyakov, S. M. Vishnyakova, P. V. Druzhinin |
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| Rok vydání: | 2019 |
| Předmět: |
Cauchy problem
Physics Plane (geometry) Mechanical Engineering Boundary (topology) 02 engineering and technology Mechanics Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Magnetic field Numerical integration Physics::Fluid Dynamics 020303 mechanical engineering & transports 0203 mechanical engineering Flow (mathematics) Mechanics of Materials 0103 physical sciences Magnetohydrodynamic drive Bingham plastic |
| Zdroj: | Journal of Applied Mechanics and Technical Physics. 60:432-437 |
| ISSN: | 1573-8620 0021-8944 |
| DOI: | 10.1134/s0021894419030040 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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