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The formation of shock wave in a two-dimensional supersonic planar and axisymmetric non-ideal gas flow with magnetic field

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Abstract

This paper presents an analysis of the of the shock formation in 2-D steady supersonic flow of non-ideal gas with magnetic field for the planar flow and axisymmetric flows. It is shown that the governing equations describing the non-ideal gas flow with magnetic field is hyperbolic in nature. Further, using the theory of the propagation of wavefronts defined by weak shock, we derived the transport equations for shock wave which lead to determination of shock formation distance and provide the conditions of shock formation. The formation of shock wave is affected by the presence of magnetic field, non-ideal parameter and upstream flow Mach number \(M_0 >1\) is shown.

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Acknowledgements

The authors are grateful to the anonymous referee for his valuable comments, which have helped to improve the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi, 221005, India

    Rahul Kumar Chaturvedi,  Pradeep & L P Singh

Authors
  1. Rahul Kumar Chaturvedi
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  2. Pradeep
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  3. L P Singh
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Correspondence to Pradeep.

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Communicated by Abdellah Hadjadj.

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Chaturvedi, R.K., Pradeep & Singh, L.P. The formation of shock wave in a two-dimensional supersonic planar and axisymmetric non-ideal gas flow with magnetic field. Comp. Appl. Math. 40, 307 (2021). https://doi.org/10.1007/s40314-021-01672-7

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  • DOI: https://doi.org/10.1007/s40314-021-01672-7

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