Chu A. Kwang-Hua, Zhiqin Qiao, Zhi-Hui Li, Yingchao Xiao
{"title":"Note on Landau–Stanyukovich rule and the similarity parameter of converging shock waves","authors":"Chu A. Kwang-Hua, Zhiqin Qiao, Zhi-Hui Li, Yingchao Xiao","doi":"10.1142/s0217984924500830","DOIUrl":null,"url":null,"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 [Formula: see text] obtained by Singh et al. will be close to that for the converging spherical shock waves.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"25 3","pages":"0"},"PeriodicalIF":1.8000,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0217984924500830","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
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 [Formula: see text] obtained by Singh et al. will be close to that for the converging spherical shock waves.
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