European Journal of Applied Mathematics

Table of Contents - 2004 - Volume 15, Issue 06  


Papers

Explicit solutions for Hele–Shaw corner flows

I. MARKINA a1 and A. VASIL'EV a1
a1 Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile email: irina.markina@mat.utfsm.cl, alexander.vasiliev@mat.utfsm.cl

Article author query
markina i   [Google Scholar] 
vasil'ev a   [Google Scholar] 
 

Abstract

We consider two-dimensional bubbles in a corner flow in a Hele–Shaw cell of a viscous incompressible fluid that occupies the complement to a bubble. We discuss the governing equations, some basic properties of the free interface of the bubbles, their geometry, and construct explicit solutions that present asymmetric long bubbles analogous to the famous Saffman–Taylor fingers in a wedge of arbitrary angle $\alpha\in (0,2\pi)$.

(Published Online May 3 2005)
(Received September 4 2002)
(Revised October 29 2003)