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A numerical study of the descent of a vortex pair in a stably stratified atmosphere

Published online by Cambridge University Press:  29 March 2006

F. M. Hill
Affiliation:
Department of Mathematics, Imperial College, London

Abstract

Numerical methods are used to investigate the motion of a horizontal vortex pair through a stably stratified atmosphere. The vortices carry with them a mass of fluid whose density differs from that of the air through which it descends, and the surface of this accompanying fluid becomes a vortex sheet, which is modelled by a set of discrete line vortices.

It is shown that, at first, the vortex pair slows down with the shape of the envelope of the accompanying fluid remaining constant. Later, vorticity concentrates at the rear, initiating detrainment and causing a downward acceleration of the vortex pair. Throughout the motion, the vortices approach each other.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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References

Bisgood, P. L., Maltby, R. L. & Dee, F. W. 1971 Some work at the Royal Aircraft Establishment on the behaviour of vortex wakes. In Aircraft Wake Turbulence and its Detection, p. 171. Plenum.
Crow, S. C. 1974 Motion of a vortex pair in a stably stratified fluid. Poseidon Res. Rep. no. 1.Google Scholar
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Rosenhead, L. 1931 The formation of vortices from a surface of discontinuity. Proc. Roy. Soc. A 134, 170.Google Scholar
Saffman, P. G. 1972 The motion of a vortex pair in a stratified atmosphere. Studies in Appl. Math. 51, 107.Google Scholar
Scorer, R. S. & Davenport, L. J. 1970 Contrails and aircraft downwash. J. Fluid Mech. 43, 451.Google Scholar