Motion and oscillations of a circular perturbed vortex ring
UNSPECIFIED (2000) Motion and oscillations of a circular perturbed vortex ring. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE, 328 (5). pp. 393-398. ISSN 1287-4620Full text not available from this repository.
The long bending distortions of the central line of a perturbed circular slender vortex ring with an axial velocity component are studied with the equation of motion of Callegari and Ting  rather than with the equation due to a cut-off method as in Widnall and Sullivan . The link between the evolution of the perturbation and the inner structure of the vortex is then shown and the study of the perturbations of small amplitudes gives an analytical expression of the period of oscillation for a circular perturbed inviscid vortex. A numerical code that solves the full nonlinear filament evolution equation has been developed and validated by the results of the linear analysis. In the small amplitude limit, the numerical simulations and the analytical approach are in excellent agreement both for an inviscid and a viscous vortex. The evolution of a perturbation of finite amplitude is also given. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
|Item Type:||Journal Article|
|Journal or Publication Title:||COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE|
|Publisher:||EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER|
|Number of Pages:||6|
|Page Range:||pp. 393-398|
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