On the patterns of interaction between shear and interfacial modes in plane air–water Poiseuille flow

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dc.contributor.authorShapiro, Evgeniyen_UK
dc.contributor.authorTimoshin, Sergeien_UK
dc.date.accessioned2005-11-22T13:33:30Z
dc.date.available2005-11-22T13:33:30Z
dc.date.issued2005-05-08en_UK
dc.description.abstractThe current work deals with the numerical analysis of linear stability problems in a stratified plain Poiseuille flow of air over water with equal layer heights. The interaction and branch exchange between Tollmien–Schlichting instability in air and interfacial instability is discovered and investigated. This effect is shown to stabilize disturbances with wavelengths of the order of channel height for interfacial waves and to produce a closed stable region inside the neutral curve of the interfacial mode. The behaviour of three unstable modes in the problem, corresponding to Tollmien–Schlichting type instability in air and water layers and interfacial instability respectively, has been studied in detail. Neutral conditions for all three modes and the stable region have been calculated.en_UK
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dc.identifier.citationEvgeniy Shapior and Sergei Timoshin, On the patterns of interaction between shear and interfacial modes in plane air–water Poiseuille flow, Proceedings of the Royal Society of London A, Volume 461, number 2057, 8 May 2005, pages 1583-1597en_UK
dc.identifier.issn0080-4630
dc.identifier.urihttp://hdl.handle.net/1826/937
dc.identifier.urihttp://dx.doi.org/10.1098/rspa.2004.1442
dc.language.isoenen_UK
dc.publisherThe Royal Societyen_UK
dc.subjectPoiseuille flowen_UK
dc.subjectmode coalescenceen_UK
dc.titleOn the patterns of interaction between shear and interfacial modes in plane air–water Poiseuille flowen_UK
dc.typeArticleen_UK

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