Exact solution of magnetohydrodynamic equations for an axisymmetric plasma flow (Q1420648)

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scientific article; zbMATH DE number 2035924
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Exact solution of magnetohydrodynamic equations for an axisymmetric plasma flow
scientific article; zbMATH DE number 2035924

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    Exact solution of magnetohydrodynamic equations for an axisymmetric plasma flow (English)
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    2 February 2004
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    An exact solution of magnetohydrodynamic equations for two-dimensional axially symmetrical plasma flows is obtained by using a self-similarity approach. As a self-similarity variable, the author uses the ratio of the transverse coordinate to the radius of the plasma flow. Therefore, ordinary differential equations are derived which allow to express the longitudinal velocity as a function of the flow radius.
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    velocity
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    flow radius
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    self-similarity
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    Jacobi function
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