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Stability and Structure of Stretched Vortices
Author(s) -
Robinson A. C.,
Saffman P. G.
Publication year - 1984
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1984702163
Subject(s) - burgers vortex , vortex , vorticity , vorticity equation , classical mechanics , perturbation (astronomy) , plane (geometry) , vortex stretching , mathematics , mathematical analysis , physics , perpendicular , mechanics , geometry , quantum mechanics
The radially symmetric Burgers vortex is an example of a solution to the Navier‐Stokes equations in which the intensification of vorticity due to vortex stretching is balanced by the diffusion of vorticity through viscosity. The linear stability of the symmetric Burgers vortex to a class of two‐dimensional perturbations is demonstrated. Analytical solutions obtained from a perturbation analysis and numerical computations are presented of nonsymmetric Burgers vortices in which the radial flow field in a plane perpendicular to the vorticity is nonsymmetric.