Unsteady Flows with a Constant Total Pressure, Described by the Equations of Ideal Magnetohydrodynamics
S. V. Golovin1,2, M. N. Dudnik3
1Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2Novosibirsk State University
3Novosibirsk State University, Novosibirsk, 630090 Russia
Keywords: magnetohydrodynamics, exact solutions, total constant pressure
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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