{"title":"Theory of cellular detonations in gases. Part 2. Mach-stem formation at strong overdrive","authors":"Paul Clavin, Bruno Denet","doi":"10.1016/S1620-7742(01)01352-6","DOIUrl":null,"url":null,"abstract":"<div><p>A weakly nonlinear analysis of cellular detonations at onset of the instability against transverse disturbances is carried out in the Newtonian limit at strong overdrive. A nonlinear integral-differential equation describing the formation of cusps representative of Mach-stems on the detonation front is obtained as an asymptotic solution of the reactive Euler equations. A numerical study of this equation exhibits patterns that are similar to the cellular structures observed experimentally in gaseous detonation waves.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 489-496"},"PeriodicalIF":0.0000,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01352-6","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1620774201013526","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
A weakly nonlinear analysis of cellular detonations at onset of the instability against transverse disturbances is carried out in the Newtonian limit at strong overdrive. A nonlinear integral-differential equation describing the formation of cusps representative of Mach-stems on the detonation front is obtained as an asymptotic solution of the reactive Euler equations. A numerical study of this equation exhibits patterns that are similar to the cellular structures observed experimentally in gaseous detonation waves.
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