Author(s)

A. Nadim, A. Borhan & H. Haj-Hariri

Abstract

We consider the buoyancy-driven motion of a liquid drop or a gas bub- ble within a Hele-Shaw cell which is filled with a second immiscible liquid. The flow in each phase is described by the depth-averaged Hele-Shaw equa- tions which resemble two-dimensional potential flow. With the aid of the free-space Green's function for Laplace's equation, the problem can be formulated as a set of two integral equations on the drop perimeter, relat- ing the sum and difference in pressures across the interface to the normal component of velocity. Given the instan

Keywords