Hostname: page-component-7c8c6479df-94d59 Total loading time: 0 Render date: 2024-03-29T07:00:26.197Z Has data issue: false hasContentIssue false

Stratified Sadovskii flow in a channel

Published online by Cambridge University Press:  26 April 2006

Abstract

Stably stratified and non-stratified flows past a touching pair of vortices with continuous velocity are considered. An asymptotic solution for the very long eddies is determined. Numerical results cover the whole range of subcritical stratification and eddy length.

Type
Research Article
Copyright
© 1993 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chernyshenko, S. I. 1988 The asymptotics of the steady separated flow past a body at large Reynolds number. Appl. Math. Mech. 52, 746.Google Scholar
Moore, D. W., Saffman, P. G. & Tanveer, S. 1988 The calculation of some Batchelor flows: the Sadovskii vortex and rotational corner flow. Phys. Fluids 31, 978.Google Scholar
Pierrehumbert, R. T. 1980 A family of steady, translating vortex pairs with distributed vorticity. J. Fluid Mech. 99, 129.Google Scholar
Sadovskii, V. S. 1970 A region of uniform vorticity in plane potential flow. Uch. Zap. TsAGI 1, 1 (in Russian.)Google Scholar
Sadovskii, V. S. 1971a Vortex regions in a potential stream with a jump of Bernoulli's constant at the boundary. Appl. Math. Mech. 35, 729.Google Scholar
Sadovskii, V. S. 1971 b Properties of potential and vortex flows touching at a closed streamline. Uch. Zap. TsAGI 2, 113 (in Russian.)Google Scholar
Sadovskii, V. S. & Kozhuro, L. A. 1977 Two one-parameter families of inviscid vortex flows. ChMMSS 8, 126 (in Russian.)Google Scholar
Saffman, P. G. & Tanveer, S. 1982 The touching pair of equal and opposite vortices. Phys. Fluids 25, 1929.Google Scholar
Smith, F. T. 1986 Concerning inviscid solutions for large-scale separated flows. J. Engng Maths 20, 271.Google Scholar
Turfus, C. 1993 Prandtl-Batchelor flow past a flat plate at normal incidence in a channel – inviscid analysis. J. Fluid Mech. 249, 59.Google Scholar
Turner, J. S. 1973 Buoyancy effects in Fluids. Cambridge University Press.