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On the geometry of magnetohydrodynamic flows

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Abstract

In this paper it is shown that the motion of magnetofluid is circulation preserving if the magnetic field is in a direction of no variation. Employing the anholonomic geometric results it is proved that for the circulation preserving and complex lamellar motion of magnetofluids, the Lamb surfaces are developables if and only if the magnitude of the vorticity is constant along the streamlines.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, India

    S. N. Singh & H. P. Singh

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  1. S. N. Singh
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  2. H. P. Singh
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Singh, S.N., Singh, H.P. On the geometry of magnetohydrodynamic flows. Astrophys Space Sci 105, 33–37 (1984). https://doi.org/10.1007/BF00651204

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  • DOI: https://doi.org/10.1007/BF00651204

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