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

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dc.contributor.authorMureithi, Eunice
dc.contributor.authorDenier, James
dc.date.accessioned2016-07-19T13:02:07Z
dc.date.available2016-07-19T13:02:07Z
dc.date.issued2010-08
dc.descriptionFull text can be accessed at http://iopscience.iop.org/article/10.1088/0169-5983/42/5/055506/pdfen_US
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.citationMureithi, E.W. and Denier, J.P., 2010. Absolute-convective instability of mixed forced-free convection boundary layers. Fluid Dynamics Research, 42(5), p.055506.en_US
dc.identifier.doi10.1088/0169-5983/42/5/055506
dc.identifier.urihttp://hdl.handle.net/20.500.11810/3280
dc.language.isoenen_US
dc.titleAbsolute-convective instability of mixed forced-free convection boundary layersen_US
dc.typeJournal Articleen_US
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