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Nonlinear evolution of Rayleigh waves in an initial value context: Non-symmetric input and cross-flow

Allen, T; Brown, SN; Smith, FT; (1998) Nonlinear evolution of Rayleigh waves in an initial value context: Non-symmetric input and cross-flow. Mathematika , 45 (2) 217 - 243. 10.1112/S0025579300014170. Green open access

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Abstract

In recent papers the present authors considered the effects of small cross-flow on the evolution of two unequal oblique waves. In these studies the relative size of the crossflow meant that a diffusion (or buffer) layer was required around the critical layer to smooth out the algebraic growth in the mean-flow distortion generated by the nonlinear critical-layer interactions. The present analysis increases the cross-flow to an order of magnitude such that the buffer and critical layers coalesce. In this instance the nonlinear critical layer contains viscous as well as nonequilibrium effects. The resulting amplitude equations are solved for perturbations initiated at a fixed station in the flow.

Type: Article
Title: Nonlinear evolution of Rayleigh waves in an initial value context: Non-symmetric input and cross-flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.1112/S0025579300014170
Publisher version: http://dx.doi.org/10.1112/S0025579300014170
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/1299364
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