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Note on the swimming of slender fish
Abstract
The paper seeks to determine what transverse oscillatory movements a slender fish can make which will give it a high Froude propulsive efficiency, $\frac{\hbox{(forward velocity)} \times \hbox{(thrust available to overcome frictional drag)}} {\hbox {(work done to produce both thrust and vortex wake)}}.$ The recommended procedure is for the fish to pass a wave down its body at a speed of around $\frac {5} {4}$ of the desired swimming speed, the amplitude increasing from zero over the front portion to a maximum at the tail, whose span should exceed a certain critical value, and the waveform including both a positive and a negative phase so that angular recoil is minimized. The Appendix gives a review of slender-body theory for deformable bodies.
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Citations
Cited by
Form, Function, and Locomotory Habits in Fish
Lindsey, C. C. (1978) · Fish Physiology · doi:10.1016/s1546-5098(08)60163-6 · Cited by 586
Three-dimensional flow structures and vorticity control in fish-like swimming
ZHU, Q., WOLFGANG, M. J., YUE, D. K. P., & TRIANTAFYLLOU, M. S. (2002) · Journal of Fluid Mechanics · doi:10.1017/s002211200200143x · Cited by 285
Conservation rules, their breakdown, and optimality in Caenorhabditis sinusoidal locomotion
Karbowski, J., Cronin, C. J., Seah, A., Mendel, J. E., Cleary, D., & Sternberg, P. W. (2006) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2006.04.012 · Cited by 97
Deep reinforcement learning enabling a BCFbot to learn various undulatory patterns
Hameed, I., Chao, X., Navarro-Alarcon, D., & Jing, X. (2025) · Ocean Engineering · doi:10.1016/j.oceaneng.2025.120322 · Cited by 5
Metadata
- Authors
- Lighthill, M. J.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1960-10
- Volume
- 9
- Issue
- 2
- Pages
- 305-317
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2014546372
- Cited by
- 1,191
- References
- 0
- FWCI
- 9.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Note on the swimming of slender fish. https://app.cochat.ai/papers/10.1017/s0022112060001110
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- Lighthill, M. J. (1960). Note on the swimming of slender fish. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112060001110
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
