An unsteady two-cell vortex solution of the Navier—Stokes equations

Author:

Bellamy-Knights P. G.

Abstract

The steady two-cell viscous vortex solution of Sullivan (1959) is extended to yield unsteady two-cell viscous vortex solutions which behave asymptotically as certain analogous unsteady one-cell solutions of Rott (1958). The radial flux is a parameter of the solution, and the effect of the radial flow on the circumferential velocity, is analyzed. The work suggests an explanation for the eventual dissipation of meteorological flow systems such as tornadoes.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference7 articles.

1. Rott, N. 1959 On the viscous core of a line vortex II.Z.A.M.P. 10,73.

2. Rott, N. 1958 On the viscous core of a line vortex.Z.A.M.P. 9 b,543.

3. Burgers, J. M. 1940 Application of a model system to illustrate some points of the statistical theory of free turbulence.Proc. Acad. Sci. Amst. 43,2.

4. Morton, B. R. 1966 Geophysical vortices.Progress in Aeronautical Sciences,7,145.

5. Burgers, J. M. 1948 A mathematical model illustrating the theory of turbulence.Adv. appl. Mech. 1,197.

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