LONG-RANGE MAGNETIC FORCES IN TWO-DIMENSIONAL HYDRODYNAMICS OF MAGNETIC FLUID PATTERN FORMATION

Publisher Website
Google Scholar
Abstract
Phenomena associated with long-range forces of interparticle interaction have received great attention since the stable colloids of ferromagnetics were first prepared. One of these-surface instability of magnetic fluid in a vertical field-was first observed by Cowley and Rosensweig (Cowley, Rosensweig, 1967) and is a remarkable demonstration of the properties of liquid magnetics. The studies here have displayed a lot of interesting characteristics of these phenomena such as subcritical character of bifurcation at the origin of hexagonal pattern of a magnetic fluid (Gailitis, 1969), a possible change of hexagonal pattern into the square one (Gailitis, 1977; Kuznetsov el al., 1976), subcritical bifurcation of a uni-dimensional pattern (Zaitsev et al., 1969; Bacri et ai., 1984). The development of a concept of the hydrodynamical stability control by the field has demonstrated the stabilizing effect of a magnetic field at both the Rayleigh-Taylor instability (Rosensweig, 1979a) and the Saffman-Taylor instability of displacement front (Rosensweig et al, 1977; Zahn et al, 1980) and others. Using this basis, Rosensweig was able to put forward an alluring idea of possible application of magnetic forces to stabilize ftuidized beds (Rosensweig, 1979b, 1979c). It is the significant contribution of Rosensweig's works into further investigations of the hydrodynamic instability control by a magnetic field, which should be given a special mention. These developments have lead to new insights and will add a new dimension to the study of magnetic fluids. We shall consider a comparatively new type of two-dimensional hydrodynamical instability revealing an intricate pattern of selforganization of a magnetic fluid due to long-range magnetic forces.

This publication has 25 references indexed in Scilit: