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Note on the rheology of a dilute suspension of dipolar spheres with weak Brownian couples

Published online by Cambridge University Press:  29 March 2006

E. J. Hinch  and
L. G. Leal
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
L. G. Leal
Affiliation:
Chemical Engineering, California Institute of Technology
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Abstract

A problem of theoretical interest in suspension rheology is the calculation of bulk rheological properties for a dilute suspension of spherical dipolar particles in the presence of weak Brownian rotation, when the applied field is perpendicular to the local vorticity of the bulk flow. In the present note, we determine the asymptotic form for the orientation distribution of the dipole axis in the limit of weak Brownian motion and use this distribution to determine the corresponding rheological properties of the suspension. The bulk stress is then discussed in terms of an effective viscosity for shear flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 4 , 28 December 1972 , pp. 803 - 813
Copyright
© 1972 Cambridge University Press

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References

Brenner, H. 1970a Annual Rev. Fluid Mech. 2, 137.
Brenner, H. 1970b J. Colloid & Interface Sci. 32, 141.
Brenner, H. & Weissman, M. H. 1972 J. Colloid. & Interface. Sci. to appear.
Hall, W. F. & Busenberg, S. N. 1962 J. Chem. Phys. 51, 137.
Hinch, E. J. & Leal, L. G. 1972 J. Fluid Mech. 52, 683.
Leal, L. G. 1971 J. Fluid Mech. 46, 395.
Leal, L. G. & Hinch, E. J. 1971 J. Fluid Mech. 46, 685.