Absolute-convective instability of mixed forced-free convection boundary layers

dc.creatorMureithi, Eunice
dc.creatorDenier, Jim
dc.date2016-07-19T13:02:07Z
dc.date2016-07-19T13:02:07Z
dc.date2010-08
dc.date.accessioned2018-03-27T08:58:01Z
dc.date.available2018-03-27T08:58:01Z
dc.descriptionFull text can be accessed at http://iopscience.iop.org/article/10.1088/0169-5983/42/5/055506/pdf
dc.descriptionA 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.
dc.identifierMureithi, E.W. and Denier, J.P., 2010. Absolute-convective instability of mixed forced-free convection boundary layers. Fluid Dynamics Research, 42(5), p.055506.
dc.identifierhttp://hdl.handle.net/20.500.11810/3280
dc.identifier10.1088/0169-5983/42/5/055506
dc.identifier.urihttp://hdl.handle.net/20.500.11810/3280
dc.languageen
dc.titleAbsolute-convective instability of mixed forced-free convection boundary layers
dc.typeJournal Article

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