Rotating Hele-Shaw cells with ferrofluids

Details Rotating Hele-Shaw cells with ferrofluids Rotating Hele-Shaw cells with ferrofluids

2000-10-24

arxiv.org/abs/cond-mat/0010374v1

Phys. Rev. E 62, 2985 (2000)

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 3 ps figures, RevTex

Scientific paper

10.1103/PhysRevE.62.2985

We investigate the flow of two immiscible, viscous fluids in a rotating Hele-Shaw cell, when one of the fluids is a ferrofluid and an external magnetic field is applied. The interplay between centrifugal and magnetic forces in determining the instability of the fluid-fluid interface is analyzed. The linear stability analysis of the problem shows that a non-uniform, azimuthal magnetic field, applied tangential to the cell, tends to stabilize the interface. We verify that maximum growth rate selection of initial patterns is influenced by the applied field, which tends to decrease the number of interface ripples. We contrast these results with the situation in which a uniform magnetic field is applied normally to the plane defined by the rotating Hele-Shaw cell.

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