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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
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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

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References

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