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Long Time Behavior of a Decaying Vortex
Author(s) -
Gunzburger M. D.
Publication year - 1973
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19730531104
Subject(s) - vortex , inviscid flow , starting vortex , motion (physics) , perturbation (astronomy) , burgers vortex , vortex ring , classical mechanics , physics , mechanics , horseshoe vortex , vortex stretching , quantum mechanics
The motion and decay of a vortex submerged in a two‐dimensional inviscid stream is considered with view of seeking solutions valid for all time. A multiple time scale perturbation scheme is used to obtain solutions. The important effects of viscosity near the center of the vortex are included by a systematic procedure. To illustrate the theory solutions are then presented for the motion of a vortex subject to a sudden uniform gust and for the motion of a vortex in the presence of a wall.