Two-dimensional wavelike equilibrium states in the wall injection-induced planar Taylor flow

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Griffond J. 2003Two-dimensional wavelike equilibrium states in the wall injection-induced planar Taylor flowProc. R. Soc. Lond. A.459749–771http://doi.org/10.1098/rspa.2002.1035SectionRestricted accessTwo-dimensional wavelike equilibrium states in the wall injection-induced planar Taylor flow J. Griffond J. Griffond ONERA–Toulouse, Aerodynamics and Energetics Modelling Department, 2, av. Ed. Belin, BP 4025, 31055 Toulouse Cedex 4, France [email protected] Google Scholar Find this author on PubMed Search for more papers by this author J. Griffond J. Griffond ONERA–Toulouse, Aerodynamics and Energetics Modelling Department, 2, av. Ed. Belin, BP 4025, 31055 Toulouse Cedex 4, France [email protected] Google Scholar Find this author on PubMed Search for more papers by this author Published:08 March 2003https://doi.org/10.1098/rspa.2002.1035AbstractIn this paper, the existence of particular nonlinear instabilities is shown in the sidewall injection–induced planar Taylor flow in rectangular channels with a solid headwall and an open aft end. These two–dimensional wave systems are asymptotic solutions of the nonlinear problem as the abscissa (distance to the headwall) tends to infinity. They are quasi–linearly spatially amplified and represent, in fact, a kind of equilibrium with the linearly accelerated base flow. The problem is solved by an asymptotic expansion in terms of the inverse–squared abscissa and also by a less rigorous but more convenient method. The results are successfully compared to direct numerical simulations. It is then suggested that these states play a role in the behaviour of a cold–flow set–up called VECLA, even if no accurate comparison with experimental work is possible. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Volkov K (2006) Application of the parameter-expansion method to calculation of two-phase flows in channels with injection, Journal of Engineering Physics and Thermophysics, 10.1007/s10891-006-0220-0, 79:6, (1169-1178), Online publication date: 1-Nov-2006. This Issue08 March 2003Volume 459Issue 2031 Article InformationDOI:https://doi.org/10.1098/rspa.2002.1035Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/03/2003Published in print08/03/2003 License: Citations and impact KeywordsTaylor FlowEquilibrium StatesNonlinear Stability