Theoretical studies of a suspension of rigid particles affected by Brownian couples
In this paper we briefly review the present theoretical understanding of a suspension of particles whose orientation is affected by rotational Brownian motion. The particles are rigid, axially symmetric, sufficiently small so that they and their disturbance flow are inertialess and not acted upon by external body forces or couples. The suspension is dilute so that there are no important hydrodynamic interactions between the particles and is examined for a flow with a sufficiently large length scale that the concept of an equivalent homogeneous material — the bulk suspension — is meaningful. The orientation state of the particles in the suspension is determined by a competition between the random Brownian rotations and the tendency to preferred alignment induced by the gradient in the bulk deformation rate for the suspension. We are interested in the resulting rheological behaviour.
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- Brenner, H., J. Coll. Sci. 34, 258 (1970).Google Scholar
- Burgers, J. M., Kon. Ned. Akad. Wet. Verhand. (Eerste Sedic) 16, 113 (1938).Google Scholar
- Leal, L. G. and E. j. Hinch, J. Fluid Mech. (to appear 1972).Google Scholar
- Sadron, C., Flow Properties of Disperse Systems, Chap. 4. Ed.: J.J. Hermans (Amsterdam 1953).Google Scholar
- Scheraga, H. A., J. T. Edsal, and J. O. Gadd, J. Chem. Phys. 19, 110 (1951).Google Scholar