Parallel flow in Hele-Shaw cells with ferrofluids

Details Parallel flow in Hele-Shaw cells with ferrofluids Parallel flow in Hele-Shaw cells with ferrofluids

1999-08-26

arxiv.org/abs/cond-mat/9908377v2

Physics

Condensed Matter

Soft Condensed Matter

12 pages, Revtex, 2 figures, revised version (minor changes)

Scientific paper

10.1103/PhysRevE.61.2114

Parallel flow in a Hele-Shaw cell occurs when two immiscible liquids flow with relative velocity parallel to the interface between them. The interface is unstable due to a Kelvin-Helmholtz type of instability in which fluid flow couples with inertial effects to cause an initial small perturbation to grow. Large amplitude disturbances form stable solitons. We consider the effects of applied magnetic fields when one of the two fluids is a ferrofluid. The dispersion relation governing mode growth is modified so that the magnetic field can destabilize the interface even in the absence of inertial effects. However, the magnetic field does not affect the speed of wave propagation for a given wavenumber. We note that the magnetic field creates an effective interaction between the solitons.

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