Journal of Fluid Mechanics

Inertial migration of a sphere in Poiseuille flow

Jeffrey A.  Schonberg a1 and E. J.  Hinch a1
a1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK

Article author query
schonberg ja   [Google Scholar] 
hinch ej   [Google Scholar] 


The inertial migration of a small sphere in a Poiseuille flow is calculated for the case when the channel Reynolds number is of order unity. The equilibrium position is found to move towards the wall as the Reynolds number increases. The migration velocity is found to increase more slowly than quadratically. These results are compared with the experiments of Segré & Silberberg (1962 a, b).

(Published Online April 26 2006)
(Received October 3 1988)