Vortex Breakdown Flowfield
- 1 March 1969
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 12 (3), 498-508
- https://doi.org/10.1063/1.1692512
Abstract
The Navier‐Stokes equations for incompressible rotationally symmetric vortex flow at high swirl and large core Reynolds number are shown to approximate to the equation of inviscid rotating flow in regions where axial gradients are large. This equation becomes linear for flow originally near the axis, where rigid rotation results from viscous action. Series solutions at high supercritical swirl values near the critical one under the condition of flow retardation near the axis are found to exhibit the experimentally observed features of vortex breakdown flows: bulges of decelerated flow, or bubbles of recirculating fluid, with reversed axial and swirl velocities near the axis. It is concluded that the vortex breakdown in vortex tubes and on delta wings is neither due to hydrodynamic instability, nor is it a phenomenon akin to the hydraulic jump. Rather it is a regular feature of the solution of the equations of motion under the given conditions.Keywords
This publication has 9 references indexed in Scilit:
- Stagnation criterion for vortex flows.AIAA Journal, 1968
- Structure of trailing vortices.Journal of Aircraft, 1968
- Some developments in the theory of vortex breakdownJournal of Fluid Mechanics, 1967
- On Benjamin's theory of conjugate vortex flowsJournal of Fluid Mechanics, 1967
- Internal waves of finite amplitude and permanent formJournal of Fluid Mechanics, 1966
- Significance of the Vortex Breakdown PhenomenonJournal of Basic Engineering, 1965
- Theory of the vortex breakdown phenomenonJournal of Fluid Mechanics, 1962
- Some observations of the vortex breakdown phenomenonJournal of Fluid Mechanics, 1962
- STEADY MOTION AROUND A SYMMETRICAL OBSTACLE MOVING ALONG THE AXIS OF A ROTATING LIQUIDJournal of Meteorology, 1953