Unsteady flows with a constant total pressure,described by the equations of ideal magnetohydrodynamics |
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Authors: | S V Golovin M N Dudnik |
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Institution: | 1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia 2. Novosibirsk State University, Novosibirsk, 630090, Russia
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Abstract: | Exact solutions of the equations of ideal magnetohydrodynamics describing the class of unsteady flows of an electrically conducting fluid with a constant total pressure are constructed. The solutions are written in the Lagrange coordinate system; arbitrariness in its choice was used to parameterize magnetic field lines. The wide functional arbitrariness the solutions provide a significant variation in the picture of the described fluid motions. An example of unsteady flow of an ideal electrically conducting fluid in a cylindrical channel with fixed magnetic tubes is given. |
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