BROWN, PG;
BROWN, SN;
SMITH, FT;
TIMOSHIN, SN;
(1993)
On the starting process of strongly nonlinear vortex/Rayleigh-wave interactions.
MATHEMATIKA
, 40
(1)
7 - 29.
10.1112/S0025579300013693.
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Abstract
An oncoming two-dimensional laminar boundary layer that develops an unstable inflection point and becomes three-dimensional is described by the Hall-Smith (1991) vortex/wave interaction equations. These equations are now examined in the neighbourhood of the position where the critical surface starts to form. A consistent structure is established in which an inviscid core flow is matched to a viscous buffer-layer solution where the appropriate jump condition on the transverse shear stress is satisfied. The final result is a bifurcation equation for the (constant) amplitude of the wave pressure. A representative classical velocity profile is considered to illustrate solutions of this equation for a range of values of the wave-numbers.
| Type: | Article |
|---|---|
| Title: | On the starting process of strongly nonlinear vortex/Rayleigh-wave interactions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/S0025579300013693 |
| Publisher version: | http://dx.doi.org/10.1112/S0025579300013693 |
| Language: | English |
| Additional information: | © 1993 Cambridge University Press |
| Keywords: | BOUNDARY-LAYER-TRANSITION, TOLLMIEN-SCHLICHTING WAVES, LONGITUDINAL VORTICES, CHANNEL FLOWS |
| UCL classification: | UCL 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/70257 |
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