Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-25T12:32:45.295Z Has data issue: false hasContentIssue false
  • English
  • Français

XV.—The Stability of Suspensions. III. The Velocities of Sedimentation and of Cataphoresis of Suspensions in a Viscous Fluid

Published online by Cambridge University Press:  15 September 2014

William Ogilvy Kermack ,
Anderson Gray McKendrick  and
Eric Ponder
William Ogilvy Kermack
Affiliation:
The Royal College of Physicians' Laboratory, Edinburgh, and the Department of Biology, New York University
Anderson Gray McKendrick
Affiliation:
The Royal College of Physicians' Laboratory, Edinburgh, and the Department of Biology, New York University
Eric Ponder
Affiliation:
The Royal College of Physicians' Laboratory, Edinburgh, and the Department of Biology, New York University
Get access

Summary

1. When a suspension of a large number of small rigid spheres in a viscous fluid is allowed to sediment under the action of gravity the rate of fall of any of the particles in the body of the suspension is

U = U0(1 – κΦ), where U0 is the rate of fall of an isolated single particle calculated according to Stokes' law , where α is the radius of the particle, η the viscosity of the fluid, ρ the density of the particle, σ the density of the fluid, and g the constant of gravity. Φ is the volume of suspended material per unit volume of the suspension, and κ is a constant whose value according to theory is 5·5 + c, where c is probably in the neighbourhood of 1·6.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 49 , 1930 , pp. 170 - 197
Copyright
Copyright © Royal Society of Edinburgh 1930

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

REFERENCES

1.Debye, and Hückel, (1924), Physikal. Zeit., 25, 49.Google Scholar
2.Einstein, (1906), Ann. d. Physik, 19, 289.Google Scholar
3.Einstein, (1911), Ann. d. Physik, 19, 34.Google Scholar
4.Einstein, (1920), Kolloid Zeit., 27, 137.Google Scholar
5.Freundlich, (1926), Colloid and Capillary Chemistry. English translation. Methuen & Co., Ltd., London.Google Scholar
6.Hückel, (1924), Physikal. Zeit., 25, 204.Google Scholar
7.Lamb, , Hydrodynamics, 4th ed.Google Scholar
8.Ponder, (1925), Quart. Journ. Exper. Physiol., 15, 235.Google Scholar
9.Ponder, and Millar, (1924), Quart. Journ. Exper. Physiol., 14, 67.Google Scholar
10.Smoluchowski, (1917), Z. physikal. Chem., 92, 129.Google Scholar
11.Stock, (1912), Anzeiger d. Akad. d. Wiss., Cracow, A. 635.Google Scholar
Stock, (1913), Anzeiger d. Akad. d. Wiss., Cracow, A. 131.Google Scholar
Stock, (1914), Anzeiger d. Akad. d. Wiss., Cracow, A. 95.Google Scholar
12.Westgren, and Reitstötter, (1918), Z. physikal. Chem., 92, 750.CrossRefGoogle Scholar
13.Whitney, and Blake, (1904), Journ. Amer. Chem. Soc., 26, 1363.Google Scholar