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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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References

Batchelor, G. K. 1976 Brownian diffusion of particles with hydrodynamic interaction J. Fluid Mech. 74, 1–29.Google Scholar
Batchelor, G. K. & Green, J. T. 1972a The hydrodynamic interaction of two small freely-moving spheres in a linear flow field J. Fluid Mech. 56, 375–400.Google Scholar
Batchelor, G. K. & Green, J. T. 1972b The determination of the bulk stress in a suspension of spherical particles to order c2. J. Fluid Mech. 56, 401–427.Google Scholar
Feke, D. L. 1981 Kinetics of flow-induced coagulation with weak Brownian diffusion. Ph.D. thesis, Princeton University.
Kruyt, H. R. 1949 Colloid Science, vol. 1, p. 266. Elsevier.
Pashley, R. M. 1981 Hydration forces between mica surfaces in aqueous electrolyte solutions J. Colloid Interface Sci. 80, 153–162.Google Scholar
Schenkel, J. H. & Kitchener, J. A. 1960 A test of the Derjaguin-Verwey-Overbeek theory with a colloidal suspension Trans. Faraday Soc. 56, 161–173.Google Scholar
Smoluchowski, M. Von 1918 Versuch einer mathematischen theorie der koagulationskinetik kolloider lösungen Z. Phys. Chem. 92, 129–168.Google Scholar
Spielman, L. A. 1970 Viscous interactions in Brownian coagulation J. Colloid Interface Sci. 33, 562–571.Google Scholar
Swift, D. L. & Friedlander, S. K. 1964 The coagulation of hydrosols by Brownian motion and laminar shear flow J. Colloid Sci. 19, 621–647.Google Scholar
Ven, T. G. M. Van De & Mason, S. G. 1976 The microrheology of colloidal dispersions. IV. Pairs of interacting spheres in shear flow J. Colloid Interface Sci. 57, 505–516.Google Scholar
Ven, T. G. M. Van De & Mason, S. G. 1977 The microrheology of colloidal dispersions. VIII. Effect of shear on perikinetic doublet formation Colloid Polymer Sci. 255, 794–804.Google Scholar
Zeichner, G. R. & Schowalter, W. R. 1977 Use of trajectory analysis to study stability of colloidal dispersions in flow fields AIChE J. 23, 243–254.Google Scholar
Zeichner, G. R. & Schowalter, W. R. 1979 Effects of hydrodynamic and colloidal forces on the coagulation of dispersions J. Colloid Interface Sci. 71, 237–253.Google Scholar