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- W2053649891 abstract "Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Duck Peter W. and Owen Jonathan 2004Non-modal stability and breakdown in corner and three-dimensional boundary layersProc. R. Soc. Lond. A.4601335–1357http://doi.org/10.1098/rspa.2003.1215SectionRestricted accessNon-modal stability and breakdown in corner and three-dimensional boundary layers Peter W. Duck Peter W. Duck Department of Mathematics, University of Manchester, Manchester M13 9PL, UK () Google Scholar Find this author on PubMed Search for more papers by this author and Jonathan Owen Jonathan Owen Department of Mathematics, University of Manchester, Manchester M13 9PL, UK () Google Scholar Find this author on PubMed Search for more papers by this author Peter W. Duck Peter W. Duck Department of Mathematics, University of Manchester, Manchester M13 9PL, UK () Google Scholar Find this author on PubMed Search for more papers by this author and Jonathan Owen Jonathan Owen Department of Mathematics, University of Manchester, Manchester M13 9PL, UK () Google Scholar Find this author on PubMed Search for more papers by this author Published:08 May 2004https://doi.org/10.1098/rspa.2003.1215AbstractTwo classes of three-dimensional boundary layer are studied, namely, the flow in the neighbourhood of a corner (of general apex angle), and the flow over a wall with spanwise-varying porosity. Streamwise variation of the mainstream flow is assumed to be of the form xn, where x is a measure of the distance downstream of the leading edge, and as such the flow is analogous to the classical Falkner-Skan solution family. The main focus of the paper is on the effect of flow disturbances on the basic-flow states (with spanwise length-scales comparable with the boundary-layer thickness). The nature of the perturbation flow response is found to be inherently linked to the existence (or otherwise) of linear, steady, streamwise algebraically growing eigensolutions in the far-field solution. When nonlinearity is included, if such linear eigensolutions exist for the basic-flow state, downstream two scenarios appear possible: either the flow will make a transition to another base state (to one not possessing algebraically growing eigensolutions) or a breakdown may occur. Linear, unsteady (harmonic) perturbations are also considered. These are inherently non-parallel in nature (but again closely linked to the existence of the aforementioned eigensolutions); however, such disturbances always decay far downstream, although often not before a significant transient response has occurred. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Zhao W and Wang G (2017) Influence of acoustic resonance on mixing enhancement in confined mixing layers, Chemical Engineering and Processing: Process Intensification, 10.1016/j.cep.2016.11.005, 111, (67-78), Online publication date: 1-Jan-2017. Alizard F, Robinet J and Guiho F (2013) Transient growth in a right-angled streamwise corner, European Journal of Mechanics - B/Fluids, 10.1016/j.euromechflu.2012.07.006, 37, (99-111), Online publication date: 1-Jan-2013. Ridha A (2005) On the three-dimensional alternative to the Blasius boundary-layer solution, Comptes Rendus Mécanique, 10.1016/j.crme.2005.09.002, 333:10, (768-772), Online publication date: 1-Oct-2005. Duck P (2005) Transient growth in developing plane and Hagen Poiseuille flow, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461:2057, (1311-1333), Online publication date: 8-May-2005. This Issue08 May 2004Volume 460Issue 2045 Article InformationDOI:https://doi.org/10.1098/rspa.2003.1215Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/05/2004Published in print08/05/2004 License: Citations and impact Keywordscorner boundary layersbypass transitionthree-dimensional boundary layersnon-modal stability" @default.
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