Simulation Of The Buoyancy-driven Motion Of A Drop In A Hele-Shaw Cell By The Boundary Integral Method
Price
Free (open access)
Transaction
Volume
10
Pages
8
Published
1995
Size
561 kb
Paper DOI
10.2495/BE950671
Copyright
WIT Press
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
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