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Feedback instability in a boundary-layer flow over roughness

Timoshin, SN; (2005) Feedback instability in a boundary-layer flow over roughness. MATHEMATIKA , 52 (1-2) 161 - 168. 10.1112/S0025579300000437. Green open access

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Abstract

Linear stability of an incompressible triple-deck flow over a wall roughness is considered for disturbances of high frequency. The wall roughness consists of two relatively short obstacles placed far apart on an otherwise flat surface. It is shown that the flow is unstable to feedback or global mode disturbances. The feedback loop is formed by algebraically decaying disturbances propagating upstream and weakly growing Tollmien-Schlichting waves travelling downstream and as such represents an interaction between modes from continuous and discrete spectra of the corresponding parallel-flow problem. An example of growth rate calculation for a specific roughness is considered.

Type: Article
Title: Feedback instability in a boundary-layer flow over roughness
Open access status: An open access version is available from UCL Discovery
DOI: 10.1112/S0025579300000437
Publisher version: http://dx.doi.org/10.1112/S0025579300000437
Language: English
Additional information: © 2005 Cambridge University Press
Keywords: SPATIALLY DEVELOPING FLOWS, STABILITY
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/70246
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