Author(s): H. Power
ct boundary element formulation for
the evolution of the radial finger at the
interface between two viscous liquids
Wessex Institute of Technology, University of Portsmouth,
Ashurst Lodge, Ashurst, Southampton, S040 7AA, UK
The problem of determining the evolution of a radial finger in a Hele-Shaw
cell filled with two different viscous liquids is formulated as a classical potential
problem in terms of the corresponding Green's integral representation formulae.
The normal derivative of the representation formulae together with the match-
ing conditions at the interface between the two liquids yield a uniquely solvable
Fredholm integral equation of the second kind with non-singular kernel, whose
non-homogeneous term is given in terms of a hypersingular integral.
The phenomenon of viscous fingering in a Hele-Shaw cell refers to the onset
and evolution of instabilities that occur in the displacement of the interface
between two immis...
Size: 688 kb
Paper DOI: 10.2495/FD940131
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