On pressure minima in two-dimensional vortex flows
- 1 June 1994
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (6) , 2230-2232
- https://doi.org/10.1063/1.868172
Abstract
For the present, a vortex will be defined as a two-dimensional region containing nested closed streamlines. Such a vortex need not contain an extremal point of vorticity nor a minimal point of pressure. In the Stokes-flow limit, a pressure minimum is not possible. A local criterion for the existence of a pressure minimum within a vortex is derived, leading to a transition Reynolds number above which the vortex contains a pressure minimum. In the limit of infinite Reynolds number, a pressure minimum must exist within the vortex. Specific data for a cavity flow and the flow past a circular cylinder are presented.Keywords
This publication has 8 references indexed in Scilit:
- The decay of a viscous vortex pairPhysics of Fluids, 1988
- Vortex flow and maximum principlesAmerican Journal of Physics, 1985
- Multipole Decomposition of Solutions of the Vector Diffusion EquationSIAM Journal on Applied Mathematics, 1980
- On the Axisymmetric Vortex Flow Over a Flat SurfaceJournal of Applied Mechanics, 1969
- Potential Vortex Flow Adjacent to a Stationary SurfaceJournal of Applied Mechanics, 1968
- Analytical and numerical studies of the structure of steady separated flowsJournal of Fluid Mechanics, 1966
- On steady laminar flow with closed streamlines at large Reynolds numberJournal of Fluid Mechanics, 1956
- LXXV. On the decay of vortices in a viscous fluidJournal of Computers in Education, 1923