Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-27T17:18:09.830Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of weak Brownian rotations on particles in shear flow

Published online by Cambridge University Press:  29 March 2006

L. G. Leal  and
E. J. Hinch
L. G. Leal
Affiliation:
Department of Applied Mathematics and Theoretical Physics University of Cambridge Department of Chemical Engineering, California Institute of Technology
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

Axisymmetric particles in zero Reynolds number shear flow execute closed orbits. In this paper we consider the role of small Brownian couples in establishing a steady-state probability distribution for a particle being on any particular orbit. After presenting the basic equations, we derive an expression for the equilibrium distribution. This result is then used to calculate some bulk properties for a suspension of such particles, and these predicted properties are compared with available experimental observation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 4 , 27 April 1971 , pp. 685 - 703
Copyright
© 1971 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anczurowski, E. & Mason, S. G. 1967 J. Colloid Interface Sci. 23, 522.
Batchelor, G. K. 1956 J. Fluid Mech. 1, 177.
Batchelor, G. K. 1970 J. Fluid Mech. 41, 545.
Binder, A. 1939 J. Appl. Phys. 10, 711.
Bretherton, F. P. 1962 J. Fluid Mech. 14, 284.
Burgers, J. M. 1938 In Second Report on Viscosity and Plasticity, chapter 3 Kon. Ned. Akad. Wet. Verhand. (Eerste Sectie) 16, 113.Google Scholar
Eisenschitz, R. 1932 Z. Physik. Chem. A, 158, 85.
Harper, E. Y. & Chang, I-D. 1968 J. Fluid Mech. 33, 209.
Jeffery, G. B. 1922 Proc. Roy. Soc. A, 102, 161.
Mason, S. G. & Manley, R. 1956 Proc. Roy. Soc. A, 238, 117.
Peterin, A. 1938 Z. Physik, 111, 232.
Saffman, P. G. 1956 J. Fluid Mech. 1, 540.
Scheraga, H. A. 1955 J. Chem. Phys. 23, 1526.
Taylor, G. I. 1923 Proc. Roy. Soc. A, 103, 58.