{"title":"Double-Deck Structure of the Boundary Layer in the Flow Around a Small Localized Irregularity on a Curved Surface","authors":"R.K. Gaydukov","doi":"10.1134/S1061920825600461","DOIUrl":null,"url":null,"abstract":"<p> Equations of the double-deck boundary layer structure are obtained in the problem of a flow of a viscous incompressible fluid around a small irregularity on a curved surface at high Reynolds numbers. It is shown that ,due to the chosen coordinate system, the form of the equations of the double-deck structure coincides with those of the previously studied case of a small irregularity on a flat surface; the difference lies only in the values of the coefficients. This means that the results of flow modelling for the flat case can be qualitatively transferred to the curvilinear case. </p><p> <b> DOI</b> 10.1134/S1061920825600461 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"32 3","pages":"458 - 463"},"PeriodicalIF":1.5000,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920825600461","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Equations of the double-deck boundary layer structure are obtained in the problem of a flow of a viscous incompressible fluid around a small irregularity on a curved surface at high Reynolds numbers. It is shown that ,due to the chosen coordinate system, the form of the equations of the double-deck structure coincides with those of the previously studied case of a small irregularity on a flat surface; the difference lies only in the values of the coefficients. This means that the results of flow modelling for the flat case can be qualitatively transferred to the curvilinear case.
期刊介绍:
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.