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Forces on a sphere accelerating in a viscous fluid
Abstract
A detailed equation is proposed for the force exerted on a sphere that accelerates rectilinearly in an otherwise still fluid. In addition to the buoyant force, the fluid exerts forces that depend on (a) the velocity of the sphere, (b) the acceleration of the sphere and (c) the history of the motion. The equation reduces to the known theoretical solution for low velocity and large acceleration. The proposed equation was tested and found most satisfactory for a particular case in which the velocity was not small, viz. the case of simple harmonic motion along a straight line. The acceleration (added mass) and history coefficients in the equation were evaluated experimentally. They were found to depend on the ratio of the convective acceleration to the local acceleration as measured by the parameter V2/aD, in which V, a and D are the velocity, acceleration and diameter of the sphere, respectively. The Reynolds numbers varied from 0 to 62 during the tests.
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Cited by
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Magnaudet, J., & Eames, I. (2000) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.32.1.659 · Cited by 758
The influence of wing–wake interactions on the production of aerodynamic forces in flapping flight
Birch, J. M., & Dickinson, M. H. (2003) · Journal of Experimental Biology · doi:10.1242/jeb.00381 · Cited by 403
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Joshi, J. B. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00273-1 · Cited by 391
Dynamic simulation of dispersed gas-liquid two-phase flow using a discrete bubble model
Delnoij, E., Lammers, F. A., Kuipers, J. A. M., & van Swaaij, W. P. M. (1997) · Chemical Engineering Science · doi:10.1016/s0009-2509(96)00515-5 · Cited by 314
Metadata
- Authors
- Odar, F., & Hamilton, W. S.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1964-02
- Volume
- 18
- Issue
- 2
- Pages
- 302-314
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2105236722
- Cited by
- 410
- References
- 0
- FWCI
- 2.02
- Type
- journal article
- Language
- en
- Open access
- closed
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- Odar, F., & Hamilton, W. S. (1964). Forces on a sphere accelerating in a viscous fluid. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112064000210
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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.
