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The motion of long slender bodies in a viscous fluid Part 1. General theory
Abstract
A solid long slender body is considered placed in a fluid undergoing a given undisturbed flow. Under conditions in which fluid inertia is negligible, the force per unit length on the body is obtained as an asymptotic expansion in terms of the ratio of the cross-sectional radius to body length. Specific examples are given for the resistance to translation of long slender bodies for cases in which the body centre-line is curved as well as for those for which the centre-line is straight.
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Citations
Cited by
Vicsek, T., & Zafeiris, A. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.004 · Cited by 2,923
Slender-body theory for particles of arbitrary cross-section in Stokes flow
Batchelor, G. K. (1970) · Journal of Fluid Mechanics · doi:10.1017/s002211207000191x · Cited by 1,017
Cluzel, P., Lebrun, A., Heller, C., Lavery, R., Viovy, J.-L., Chatenay, D., & Caron, F. (1996) · Science · doi:10.1126/science.271.5250.792 · Cited by 986
Fluid Mechanics of Propulsion by Cilia and Flagella
Brennen, C., & Winet, H. (1977) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.09.010177.002011 · Cited by 959
Bio-inspired magnetic swimming microrobots for biomedical applications
Peyer, K. E., Zhang, L., & Nelson, B. J. (2013) · Nanoscale · doi:10.1039/c2nr32554c · Cited by 820
Metadata
- Authors
- Cox, R. G.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1970-12-16
- Volume
- 44
- Issue
- 4
- Pages
- 791-810
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W1968129502
- Cited by
- 727
- References
- 0
- FWCI
- 10.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cox, R. G. (1970). The motion of long slender bodies in a viscous fluid Part 1. General theory. Journal of Fluid Mechanics. https://doi.org/10.1017/s002211207000215x
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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.
