An unsteady two-cell vortex solution of the Navier—Stokes equations
- 29 April 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 41 (3) , 673-687
- https://doi.org/10.1017/s0022112070000836
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.Keywords
This publication has 4 references indexed in Scilit:
- Geophysical vorticesProgress in Aerospace Sciences, 1966
- A Two-Cell Vortex Solution of the Navier-Stokes EquationsJournal of the Aerospace Sciences, 1959
- On the viscous core of a line vortex IIZeitschrift für angewandte Mathematik und Physik, 1959
- A Mathematical Model Illustrating the Theory of TurbulencePublished by Elsevier ,1948