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Parallel flow in hele-shaw cells with ferrofluids

Miranda1, Widom

  • 1Laboratorio de Fisica Teorica e Computacional, Departamento de Fisica, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901, Brazil.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
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Applied magnetic fields can destabilize parallel fluid flow in Hele-Shaw cells, even without inertial effects. The magnetic field influences wave growth but not propagation speed, and it creates interactions between solitons.

Area of Science:

  • Fluid dynamics
  • Magnetohydrodynamics
  • Nonlinear waves

Background:

  • Parallel flow of immiscible fluids in Hele-Shaw cells can exhibit Kelvin-Helmholtz instability.
  • Inertial effects typically drive the growth of small perturbations at the fluid interface.
  • Large amplitude disturbances can evolve into stable solitons.

Purpose of the Study:

  • To investigate the effect of applied magnetic fields on the stability of parallel flow in a Hele-Shaw cell when one fluid is a ferrofluid.
  • To understand how magnetic fields modify the dispersion relation and wave propagation characteristics.
  • To explore the influence of magnetic fields on soliton interactions.

Main Methods:

  • Theoretical analysis of fluid flow in a Hele-Shaw cell.

Related Experiment Videos

  • Inclusion of magnetic field effects on a ferrofluid.
  • Derivation and analysis of the dispersion relation for interfacial modes.
  • Examination of wave propagation and soliton dynamics.

    • Main Results:

    • The applied magnetic field modifies the dispersion relation, enabling destabilization of the interface even without inertial effects.
    • The magnetic field does not alter the wave propagation speed for a given wave number.
    • A magnetic field introduces an effective interaction between solitons.

    Conclusions:

    • Magnetic fields offer a mechanism to control interfacial stability in Hele-Shaw flows.
    • The study highlights the distinct role of magnetic forces compared to inertial forces in interfacial dynamics.
    • Magnetic interactions can influence the behavior and stability of nonlinear structures like solitons.