Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-05T13:45:54.611Z Has data issue: false hasContentIssue false
  • English
  • Français

The slow motion of two or more spheres through a viscous fluid

Published online by Cambridge University Press:  28 March 2006

G. J. Kynch
G. J. Kynch
Affiliation:
Department of Mathematics, The Manchester College of Science and Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

Expressions are derived for the velocity of two spheres, moving slowly under external forces through a viscous fluid, as a function of their separation and radii. They compare favourably with the available experimental data. A discussion of the interactions of three particles and some general comments on the settling of a swarm of spheres are also included.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 5 , Issue 2 , February 1959 , pp. 193 - 208
Copyright
© 1959 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Burgers, J. M. 1942 Proc. K. Ned. Akad. Wet. 43, 307, 425, 625.
Hall, E. W. 1956 Ph. D. Thesis (Birmingham).
Hawksley, P. G. W. 1950 Inst. Phys. Conf. on Some Aspects of Fluid Flow.
Kynch, G. J. 1954 Brit. J. Appl. Phys. 3 (supplement), 5.
Kynch, G. J. 1956 Proc. Roy. Soc. A, 237, 90.
Oseen, W. 1927 Hydrodynamik. Leipzig: Akademische Verlagsges.
Smoluchowski, M. A. 1911 Bull. Acad. Sci., Cracow, 1 a, 28.
Stimson, M. & Jeffery, G. B. 1926 Proc. Roy. Soc. A, 111, 110.