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Magnetogasdynamic Shock Waves in Non-ideal Gas Under Gravitational Field-Isothermal Flow

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Abstract

Self-similar solutions are obtained for one-dimensional unsteady isothermal flow of non-ideal gas with gravitational effects behind a spherical shock wave, in the presence of a spatially decreasing azimuthal magnetic field. The shock wave is driven out by a moving piston with time according to power law. The gas is assumed to be non-ideal having infinite electrical conductivity. The medium is under the influence of the gravitational field due to a heavy nucleus at the origin (Roche model). The effects of variation of the parameter of non-idealness of the gas, the Alfven–Mach number and the gravitational parameter on the flow-field behind the shock are investigated. It is shown that the presence of magnetic field, gravitational field and non-idealness of the gas has decaying effect on the shock wave. Further, it is investigated that the shock strength decreases due to an increase in the strength of magnetic field, gravitational and non-idealness parameter. The present study can be important for description of shocks in supernova explosions, in the study of a flare produced shock in the solar wind, central part of star burst galaxies, nuclear explosion, rupture of a pressurized vessel and explosion in the ionosphere etc.

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Authors and Affiliations

  1. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, 211004, India

    G. Nath

  2. Department of Mathematics, K. S. Saket P. G. College, Faizabad, 224123, India

    A. K. Sinha

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  1. G. Nath
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  2. A. K. Sinha
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Correspondence to G. Nath.

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Nath, G., Sinha, A.K. Magnetogasdynamic Shock Waves in Non-ideal Gas Under Gravitational Field-Isothermal Flow. Int. J. Appl. Comput. Math 3, 225–238 (2017). https://doi.org/10.1007/s40819-015-0101-3

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