{"title":"Quasi characteristic MHD flows","authors":"Thierry Alboussière","doi":"10.1016/S1620-7742(01)01401-5","DOIUrl":null,"url":null,"abstract":"<div><p>At small magnetic Reynolds number, a two-dimensional model is proposed for MHD flows in a nonuniform magnetic field and in a cavity of nonuniform depth in the direction of the magnetic field. The characteristic surfaces appear when deriving the model and play a crucial role in the resulting solutions. A new type of free shear layers are found for the first time, developing along such surfaces, of thickness of order <em>Ha</em><sup>−1/4</sup>.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 10","pages":"Pages 767-773"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01401-5","citationCount":"2","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/S1620774201014015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
At small magnetic Reynolds number, a two-dimensional model is proposed for MHD flows in a nonuniform magnetic field and in a cavity of nonuniform depth in the direction of the magnetic field. The characteristic surfaces appear when deriving the model and play a crucial role in the resulting solutions. A new type of free shear layers are found for the first time, developing along such surfaces, of thickness of order Ha−1/4.