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On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics

  • Shobhit Kumar Srivastava EMAIL logo , Rahul Kumar Chaturvedi and Lal Pratap Singh

Abstract

The article presents the study of the evolutionary behavior of plane and cylindrically symmetric acceleration discontinuities along the characteristic path under the effect of dust particles in a non-ideal magnetogasdynamic flow. Implications regarding the propagation of disturbances in planar and cylindrically symmetric flows have been shown. Using the characteristics of the governing quasilinear system as a reference coordinate system, we transform the fundamental equations and find the solution. It is explored how the dust particles, along with the nonideal parameter, will influence the steepening or flattening of the propagating waves in magnetic and nonmagnetic cases. The transport equation leading to the evolution of acceleration discontinuities is determined, which provides the relation for the occurrence of shock. The impact of non-idealness of the gas and dust on the evolutionary process of propagating waves for the magnetic and nonmagnetic cases are discussed. The comparison between the flow patterns and distortion of the propagating waves for planar and cylindrically symmetric flows is demonstrated under the various parameter effects.


Corresponding author: Shobhit Kumar Srivastava, Department of Mathematical Sciences, Indian Institute of Technology (Banaras Hindu University), Varanasi221005, India, E-mail:

Acknowledgments

The author, Shobhit Kumar Srivastava, acknowledges University Grants Commission (UGC), New Delhi, India for the award of SRF fellowship. The authors are grateful to the anonymous referees for their valuable comments, which have helped to improve the manuscript.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-12-23
Accepted: 2021-02-05
Published Online: 2021-03-04
Published in Print: 2021-05-26

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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