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The structure of highly nonlinear vortices in curved channel flow
journal contribution
posted on 2023-05-18, 18:23 authored by Andrew BassomAndrew Bassom, Blennerhassett, PJThe structure of highly nonlinear, small wavelength Gortler vortices is analysed for fully developed flow in a curved channel. The Taylor number is taken to be T0ε-5 , which is asymptotically larger than the neutral stability Taylor number for vortices of small wavelength 2πε. Over most of the flow domain the motion is determined by the interaction of the mean flow and terms proportional to exp {iz/ε}, whereas adjacent to the outer channel wall there is a boundary layer of thickness O(ε) which requires all the harmonics of the disturbance to be considered. Numerical solutions of the wall layer equations are presented for T0 up to 14000 with the main feature of these results being the development of a weak vortex on the boundary layer lengthscale.
History
Publication title
Proceedings Royal Society of London AVolume
439Issue
1906Pagination
317-336ISSN
1364-5021Department/School
School of Natural SciencesPublisher
Royal Soc LondonPlace of publication
6 Carlton House Terrace, London, England, Sw1Y 5AgRights statement
© 1992 The Royal SocietyRepository Status
- Restricted