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Room 212, Hotel Quan-Ji, Changping District, Beijing 102208, China

National Laboratory for Computational Fluid Dynamics, BUAA, Beijing 100191, China

School of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

National Laboratory for Computational Fluid Dynamics, BUAA, Beijing 100191, China

National Laboratory for Computational Fluid Dynamics, Beijing Aerohydrodynamic Science Research Center, China Aerodynamics Research and Development Center, Beijing 100191, China

E-mail Address: zhli0097@x263.net

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Yingchao Xiao

School of Aeronautic Science and Engineering, BUAA, Beijing 100191, China

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https://doi.org/10.1142/S0217984924500830Cited by:0 (Source: Crossref)

Abstract

Using similarity methods with general physical assumptions and sufficient mathematical relations, researchers can obtain approximate solutions ready for experimental confirmation. Singh et al. claimed to have analyzed the second-kind self-similar motion of converging cylindrical shock waves in magnetogasdynamics. However, we found the dominated equation (11) and relevant equations of Singh et al. [Chin. Phys. Lett. 28(9) (2011) 094701] as well as the dominated equation (12) and relevant equations of Singh et al. [AIAA J. 48(11) (2010) 2523] being not correct. We show the correct mathematical derivations in details. It seems to us corresponding equations as well as illustrations by Singh et al. are of doubt due to above-mentioned issues. Our results imply the similarity exponent $α$ obtained by Singh et al. will be close to that for the converging spherical shock waves.

Keywords:

PACS: 47.10.−g, 47.10.A−, 47.40.−x, 47.65.−d

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