Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-18T16:03:36.025Z Has data issue: false hasContentIssue false
  • English
  • Français

Rods falling near a vertical wall

Published online by Cambridge University Press:  12 April 2006

W. B. Russel ,
E. J. Hinch ,
L. G. Leal  and
G. Tieffenbruck
W. B. Russel
Affiliation:
Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08540
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
L. G. Leal
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena
G. Tieffenbruck
Affiliation:
Chemical Engineering, California Institute of Technology, Pasadena
Get access Rights & Permissions [Opens in a new window]

Abstract

As an inclined rod sediments in an unbounded viscous fluid it will drift horizontally but will not rotate. When it approaches a vertical wall, the rod rotates and so turns away from the wall. Illustrative experiments and a slender-body theory of this phenomenon are presented. In an incidental study the friction coefficients for an isolated rod are found by numerical solution of the slender-body integral equation. These friction coefficients are compared with the asymptotic results of Batchelor (1970) and the numerical results of Youngren ' Acrivos (1975), who did not make a slender-body approximation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 83 , Issue 2 , 22 November 1977 , pp. 273 - 287
Copyright
© 1977 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

Batchelor, G. K. 1970 J. Fluid Mech. 44, 419.
Blake, J. R. 1971 Proc. Camb. Phil. Soc. 70, 303.
Caswell, B. 1970 Chem. Engng Sci. 27, 373.
Cox, R. G. 1970 J. Fluid Mech. 44, 791.
Leal, L. G. 1975 J. Fluid Mech. 69, 305.
Mestre, N. J. De & Russel, W. B. 1975 J. Engng Math. 9, 81.
Taylor, G. I. 1969 In Problems of Hydrodynamics and Continuum Mechanics, p. 718. SIAM Publ.
Tuck, E. O. 1964 J. Fluid Mech. 18, 619.
Youngren, G. K. & Acrivos, A. 1975 J. Fluid Mech. 69, 377.