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Interfacial patterns in magnetorheological fluids: Azimuthal field-induced structures.

Eduardo O Dias1, Sérgio A Lira2, José A Miranda1

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This study explores pattern formation in magnetorheological (MR) fluids, revealing how magnetic fields induce instabilities and create structures at fluid interfaces in confined systems.

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Area of Science:

  • Soft Matter Physics
  • Fluid Dynamics
  • Magnetohydrodynamics

Background:

  • Interfacial pattern formation in confined magnetorheological (MR) fluids is understudied.
  • MR fluids offer tunable properties influenced by magnetic fields.

Purpose of the Study:

  • Investigate interfacial instabilities and pattern formation in a confined MR fluid system.
  • Analyze the emergence of structures induced by an applied magnetic field.

Main Methods:

  • Utilized a Hele-Shaw cell apparatus with an inviscid Newtonian fluid bubble surrounded by MR fluid.
  • Applied an in-plane azimuthal magnetic field via a current-carrying wire.
  • Employed linear stability analysis, weakly nonlinear theory, and a vortex sheet approach.

Main Results:

  • Externally applied magnetic fields successfully induced interfacial disturbances.
  • Observed the emergence of pattern-forming structures at the two-fluid interface.
  • Characterized early linear, intermediate nonlinear, and fully nonlinear stages of pattern development.

Conclusions:

  • Demonstrated the feasibility of inducing and studying interfacial pattern formation in confined MR fluids.
  • Provided theoretical frameworks to analyze pattern evolution across different nonlinear regimes.
  • Highlighted the potential for controlled pattern generation in MR fluids through magnetic field manipulation.