New prediction for wave length selection of radial fingering in a Hele-Shaw cell

Existing linear stability analysis of radial fingering in Hele-Shaw cells use Darcy’s law as a model for the fluid motion. Comparison between experiments and theory reveals a large discrepancy at order 1 capillary numbers. In this work we use the so-called Brinkman equations to describe the fluid motion. It becomes apparent that the in-plane stresses play a dominant role in the determination of the most unstable mode as the surface tension gets very small.


Published in:
Comptes-rendus du XXeme Congrès Français de Mécanique, Rep 20, 441, 1-6
Presented at:
20ème Congrès Français de Mécanique, Besançon, France, August 29 - September 2nd, 2011
Year:
2011
Publisher:
Association Française De Mécanique
Keywords:
Laboratories:


Note: The status of this file is: EPFL only


 Record created 2011-10-27, last modified 2018-03-17

Publisher's version:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)