Journal of Fluid Mechanics

The motion of long slender bodies in a viscous fluid. Part 2. Shear flow

R. G.  Cox a1
a1 Pulp and Paper Research Institute of Canada and Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada

Article author query
cox rg   [Google Scholar] 


A long slender axisymmetric body is considered placed at rest in a general linear flow in such a manner that the undisturbed fluid velocity is identically zero on the body axis. Formulae for the total force and torque on the body are found as an expansion in terms of a small parameter κ defined as the radius-to-length ratio of the body. These general results are used to determine the resistance to axial rotation of the body and also the equivalent axis ratio of the body for motion in a shear flow.

(Published Online March 29 2006)
(Received April 15 1969)