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Cited by 151Fluid Dynamics and Turbulent FlowsFluid dynamics and aerodynamics studiesBiomimetic flight and propulsion mechanisms

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

The formation of ‘optimal’ vortex rings, and the efficiency of propulsion devices

LINDEN, P. F., TURNER, J. S.·2001·Journal of Fluid Mechanics
DOI 10.1017/s0022112000002263
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Abstract

The formation of an axisymmetric vortex ring by forcing uid impulsively through a pipe is examined. An idealized model of the circulation, impulse and energy provided by the injected plug is developed, and these quantities are equated to the corresponding properties of the class of rings with finite cores described by Norbury (1973). It is shown that, as the length-to-diameter aspect ratio L/D of the plug increases, the size of the core increases in comparison with all the fluid carried along with the ring, until the limiting case of Hill's spherical vortex is reached. For aspect ratios larger than a certain value it is not possible to produce a single ring while conserving circulation, impulse, volume and energy. This implies that the limiting vortex is ‘optimal’ in the sense that it has maximum impulse, circulation and volume for a given energy input. While this matching calculation makes the physical mechanism clear, the L/D ratio that can be achieved in practice is more appropriately taken from the direct experimental measurements of Gharib et al. (1998) who concluded that the limiting value is L/D = 4. This is close to the value found in our calculation.

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Crossref · 10.1017/s0022112000002263

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Metadata

Authors
LINDEN, P. F., & TURNER, J. S.
Affiliations
  • University of California San Diego (US)
  • Australian National University (AU)
ORCID
Venue
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Published
2001-01-25
Volume
427
Pages
61-72
ISSN
  • 0022-1120 (ISSN-L)
  • 1469-7645
DOI
10.1017/s0022112000002263
OpenAlex
W2146333952
Cited by
149
References
5
Citations by year
2026: 3 · 2025: 6 · 2024: 1 · 2023: 10 · 2022: 10 · 2021: 14 · 2020: 6 · 2019: 2 · 2018: 7 · 2017: 6 · 2016: 9 · 2015: 6 · 2014: 4 · 2013: 9 · 2012: 7
FWCI
3.25
Type
journal article
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 13 d)
Locations
  • Journal of Fluid Mechanics (publishedVersion)
  • ANU Open Research (Australian National University) (submittedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
  • Physical Sciences › Engineering › Aerospace Engineering › Biomimetic flight and propulsion mechanisms
Keywords
vortex rings, axisymmetric vortex, Hill's spherical vortex, circulation, impulse, energy input, length-to-diameter ratio, propulsive efficiency, vortex ring formation

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