The DOI matches its Crossref record; 59 of the 59 references it cites were found in a registry or an index.
Optimal Strouhal number for swimming animals
Open accessAbstract
Abstract To evaluate the swimming performances of aquatic animals, an important dimensionless quantity is the Strouhal number, St = fA / U , with f the tail-beat frequency, A the peak-to-peak tail amplitude, and U the swimming velocity. Experiments with flapping foils have exhibited maximum propulsive efficiency in the interval 0.25 St 0.35 and it has been argued that animals likely evolved to swim in the same narrow interval. Using Lighthill's elongated-body theory to address undulatory propulsion, it is demonstrated here that the optimal Strouhal number increases from 0.15 to 0.8 for animals spanning from the largest cetaceans to the smallest tadpoles. To assess the validity of this model, the swimming kinematics of 53 different species of aquatic animals have been compiled from the literature and it shows that their Strouhal numbers are consistently near the predicted optimum.
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Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Vortex Dynamics in the Cylinder Wake
Williamson, C. H. K. (1996) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.28.010196.002401 · Cited by 3,550
The Respiratory Metabolism and Swimming Performance of Young Sockeye Salmon
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Huerre, P., & Monkewitz, P. A. (1990) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.22.010190.002353 · Cited by 2,046
Review of fish swimming modes for aquatic locomotion
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Oscillating foils of high propulsive efficiency
ANDERSON, J. M., STREITLIEN, K., BARRETT, D. S., & TRIANTAFYLLOU, M. S. (1998) · Journal of Fluid Mechanics · doi:10.1017/s0022112097008392 · Cited by 1,291
On the development of turbulent wakes from vortex streets
Roshko, A. (1953) · CaltechAUTHORS (California Institute of Technology) · doi:10.7907/4wdn-9807 · Cited by 1,007
Flying and swimming animals cruise at a Strouhal number tuned for high power efficiency
Taylor, G. K., Nudds, R. L., & Thomas, A. L. R. (2003) · Nature · doi:10.1038/nature02000 · Cited by 994
Hydrodynamics of Fishlike Swimming
Triantafyllou, M. S., Triantafyllou, G. S., & Yue, D. K. P. (2000) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.32.1.33 · Cited by 971
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Metadata
- Authors
- Eloy, C.
- Venue
- Journal of Fluids and Structures
- Publisher
- Elsevier BV
- Published
- 2012-04
- Volume
- 30
- Pages
- 205-218
- ISSN
- 0889-9746 (ISSN-L)
- OpenAlex
- W2111591789
- Cited by
- 306
- References
- 59
- FWCI
- 19.28
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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