Absolute-convective instability of a mixed forced-free convection boundary layer

dc.contributor.authorMureithi, Eunice
dc.contributor.authorDenier, James
dc.date.accessioned2018-11-08T10:17:33Z
dc.date.available2018-11-08T10:17:33Z
dc.date.issued2010-08-18
dc.description.abstractA spatio-temporal inviscid instability of a mixed forced-free convection boundary layer is investigated. The base flow considered is the self-similar flow with free-stream velocity ue xn. Such a boundary-layer flow presents the unusual behaviour of generating a region of velocity overshoot, in which the streamwise velocity within the boundary layer exceeds the free-stream speed.A linear stability analysis has been carried out. Saddle points have been located and a critical value for the buoyancy parameter, G0c 3.6896, has been determined below which the flow is convectively unstable and above which the flow becomes absolutely unstable. Two spatial modes have been obtained, one mode being convective in nature and the other absolute. The convective-type spatial mode shows mode crossing behaviour at lower frequencies. Thermal buoyancy is shown to be destabilizing to the absolutely unstable spatial mode.en_US
dc.identifier.doi10.1088/0169-5983/42/5/055506
dc.identifier.urihttp://hdl.handle.net/20.500.11810/4981
dc.language.isoenen_US
dc.publisherFluid Dynamics Researchen_US
dc.titleAbsolute-convective instability of a mixed forced-free convection boundary layeren_US
dc.typeJournal Article, Peer Revieweden_US
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