Viscous fingering in magnetic fluids: numerical simulation of radial Hele-Shaw flow

In this paper, the viscous fingering phenomena of the magnetic liquids in t he case when the magnetic held is applied normally to the Hele-Shaw cell. i s investigated by the numerical simulation technique. It is shown that the magnetic held causes additional destabilization of the free interface arisi ng at the air injection in the magnetic liquid. Here the peculiarities of t he interface dynamics - inward motion of the tips of the fjords, the gyrati on radius dependence on the perimeter found by the numerical simulations ar e in good accordance with the experiments. (C) 1999 Elsevier Science B.V. A ll rights reserved.