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

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dc.creator Mureithi, Eunice
dc.creator Denier, Jim
dc.date 2016-07-19T13:02:07Z
dc.date 2016-07-19T13:02:07Z
dc.date 2010-08
dc.date.accessioned 2018-03-27T08:58:01Z
dc.date.available 2018-03-27T08:58:01Z
dc.identifier Mureithi, 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.identifier http://hdl.handle.net/20.500.11810/3280
dc.identifier 10.1088/0169-5983/42/5/055506
dc.identifier.uri http://hdl.handle.net/20.500.11810/3280
dc.description Full text can be accessed at http://iopscience.iop.org/article/10.1088/0169-5983/42/5/055506/pdf
dc.description A 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.language en
dc.title Absolute-convective instability of mixed forced-free convection boundary layers
dc.type Journal Article


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