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On the evolution of laminar vortex rings

Weigand, A. and Gharib, M. (1997) On the evolution of laminar vortex rings. Experiments in Fluids, 22 (6). pp. 447-457. ISSN 0723-4864. https://resolver.caltech.edu/CaltechAUTHORS:20130912-104447890

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Abstract

Using Laser Doppler Anemometry (LDA) and Digital Particle Image Velocimetry (DPIV), the physical properties of laminar vortex rings are investigated in the Reynolds-number range 830 ≤ Re ≤ 1650. The measured initial circulations of the vortex rings are found to agree well with corrected versions of the vorticity-flux (slug-flow) model proposed by Didden and Pullin. The DPIV and LDA data show excellent agreement regarding local velocities and vortex-ring circulations. The DPIV data depict the distribution of the vorticity and circulation in the core regions, where the resulting vorticity distributions are found to be self-similar Gaussian profiles. The propagation velocity of the vortex rings is well approximated by an analytical model of Saffman for large core sizes. In the asymptotic limit t → ∞, the trajectories are in excellent agreement with the exact Stokes-dipole solution of Cantwell and Rott.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s003480050071 DOIArticle
http://link.springer.com/article/10.1007%2Fs003480050071PublisherArticle
Additional Information:© 1997 Springer-Verlag. Received: 11 October 1995; Accepted: 22 March 1996. The support of the Office of Naval Research (ONR-URI grant N00014-92-J-1610) under the program management of Dr. Edwin Rood is gratefully acknowledged.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR-URI)N00014-92-J-1610
Issue or Number:6
Record Number:CaltechAUTHORS:20130912-104447890
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130912-104447890
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41287
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Sep 2013 22:52
Last Modified:03 Oct 2019 05:47

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