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On effects of increasing amplitude in a boundary-layer spot

Dodia, BT; Bowles, RGA; Smith, FT; (1998) On effects of increasing amplitude in a boundary-layer spot. Mathematika , 45 (1) 1 - 24. 10.1112/S0025579300014005. Green open access

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Abstract

The boundary-layer spots involved here come from large-time theory and related computations on the Euler equations to cover the majority of the global properties of the spot disturbances, which are nonlinear, three-dimensional, and transitional rather than turbulent. The amplitude levels investigated are higher than those examined in detail previously and produce a new near-wall momentum contribution in the mean flow, initially close to the wingtips of the spot. This enables the amplitude levels in the analysis to be raised successively, a process which gradually causes the wing-tip region to spread inwards. The process is accompanied by subtle increases in the induced phase variations. Among other things the work finds the details of how nonlinear effects grow from the wing-tips to eventually alter the entire trailing edge, and then the centre of the spot, in a strongly nonlinear fashion. Comparisons with earlier suggestions and with experiments are described at the end.

Type: Article
Title: On effects of increasing amplitude in a boundary-layer spot
Open access status: An open access version is available from UCL Discovery
DOI: 10.1112/S0025579300014005
Publisher version: http://dx.doi.org/10.1112/S0025579300014005
Language: English
Additional information: © 1998 Cambridge University Press
Keywords: Incompressible viscous fluids, Higher-order effects in boundary layers
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/82775
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