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The effect of Brownian diffusion on shear-induced coagulation of colloidal dispersions

Published online by Cambridge University Press:  20 April 2006

D. L. Feke  and
W. R. Schowalter
D. L. Feke
Affiliation:
Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544 Present address: Department of Chemical Engineering, Case Western Reserve University, Cleveland, Ohio 44106.
W. R. Schowalter
Affiliation:
Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544
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Abstract

The effect of a small amount of Brownian diffusion on shear-induced coagulation of spherical particles has been calculated. This has been accomplished by considering the binary collision process between a test sphere and identical spheres interacting with the test sphere through induced-dipole attraction, electrostatic repulsion and hydrodynamically induced forces. The effect of diffusion is found by means of an expansion in inverse Péclet number. Specific calculations were performed for uniaxial extension and for laminar shear flow. It is found that Brownian diffusion, the effect of which is nonlinearly coupled with flow type and strength, can act to increase or decrease the coagulation rate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 17 - 35
Copyright
© 1983 Cambridge University Press

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