https://doi.org/10.1140/epjp/s13360-024-05683-1
Regular Article
Shock wave kinematics in an inviscid gas with solid dust particles
1
Mathematics Division, School of Advanced Sciences and Languages, VIT Bhopal University, Kotrikalan, 466114, Sehore, Madhya Pradesh, India
2
School of Computer Science Engineering and Technology, Bennett University, Greater Noida, India
3
Department of Applied Mathematics and Scientific Computing, Indian Institute of Technology Roorkee, Roorkee, India
Received:
13
June
2024
Accepted:
22
September
2024
Published online:
4
October
2024
In this article, a system of partial differential equations governing the one-dimensional motion of an inviscid gas with solid dust particles is considered. The evolutionary behavior of cylindrical and spherical shock waves in dusty gas is determined. For this, we used the method based on the kinematics of one-dimensional motion of shock waves to derive an infinite hierarchy of transport equations describing the strength of shock waves and induced discontinuity behind it. These equations are used to analyze the growth and decay behaviors of shock waves in a dusty gas. The first two truncation approximations are considered and the obtained results are compared with the results obtained by Guderley’s exact solution and the characteristic rule.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
