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Type: Journal article
Title: Absolute-convective instability of mixed forced-free convection boundary layers
Author: Mureithi, E.
Denier, J.
Citation: Fluid Dynamics Research, 2010; 42(5):1-10
Publisher: Elsevier Science BV
Issue Date: 2010
ISSN: 0169-5983
Statement of
Eunice W Mureithi and James P Denier
Abstract: 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.
Rights: © 2010 The Japan Society of Fluid Mechanics and IOP Publishing Ltd.
RMID: 0020101387
DOI: 10.1088/0169-5983/42/5/055506
Appears in Collections:Mathematical Sciences publications
Environment Institute publications

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