UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

On vortex/wave interactions. Part 1. Non-symmetrical input and cross-flow in boundary layers

Smith, FT; Brown, SN; (1996) On vortex/wave interactions. Part 1. Non-symmetrical input and cross-flow in boundary layers. Journal of Fluid Mechanics , 307 101 - 133. 10.1017/S0022112096000067. Green open access

[img]
Preview
PDF
download5.pdf
Available under License : See the attached licence file.

Download (2MB)

Abstract

The paper studies certain effects of non-symmetry on vortex/wave interactions, for inviscid inflexional waves interacting nonlinearly with the vortex component of the mean flow in boundary-layer transition at large Reynolds number. Two types of non-symmetry are investigated, namely for unequal input wave amplitudes and for small cross-flows. These lead to coupled integro-differential equations for spatial development of the wave amplitudes, which are examined in an essentially equivalent differential form for various degrees of the non-symmetry present. Each type of non-symmetry can have a significant influence on the nonlinear interaction properties. Special emphasis is given to bounded solutions, and numerous interesting new flow responses are found analytically and computationally. The theory provides a basis for tackling enhanced non-symmetry in the input or stronger cross-flows.

Type: Article
Title: On vortex/wave interactions. Part 1. Non-symmetrical input and cross-flow in boundary layers
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112096000067
Publisher version: http://dx.doi.org/10.1017/S0022112096000067
Language: English
Additional information: © 1996 Cambridge University Press
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/82795
Downloads since deposit
0Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item