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Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement

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Ferrofluid annulus in crossed magnetic fields.

Pedro O S Livera¹, Pedro H A Anjos², José A Miranda¹

¹Departamento de Física, Universidade Federal de Pernambuco, Recife, Pernambuco 50670-901 Brazil.

Physical Review. E

|May 20, 2022

Summary

This summary is machine-generated.

Researchers explored ferrofluid annulus patterns in a Hele-Shaw cell using crossed magnetic fields. They discovered tunable shapes and rotational motion, suggesting applications in microfluidics and shape-programmable magnetic fluids.

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Area of Science:

Physics
Fluid Dynamics
Magnetohydrodynamics

Background:

Ferrofluids exhibit complex behaviors under magnetic fields.
Hele-Shaw cells are used to study fluid interfaces and pattern formation.
Controlling ferrofluid dynamics is crucial for microfluidic applications.

Purpose of the Study:

To investigate the dynamics and pattern formation of a ferrofluid annulus in a Hele-Shaw cell.
To analyze the influence of combined radial and azimuthal magnetic fields on ferrofluid annulus morphology.
To explore the potential for controlling rotational motion and shape programmability of ferrofluid annuli.

Main Methods:

Perturbative, second-order mode-coupling analysis.
Theoretical investigation of ferrofluid annulus response to magnetic field variations and thickness.
Mathematical modeling of stationary annular shapes and rotational dynamics.

Main Results:

Development of stationary annular shapes with polygon-like structures and skewed, peaked fingers.
Fingered structures can appear on inner, outer, or both boundaries, with tunable skewness and sharpness.
External magnetic fields control rotational motion, with a weakly nonlinear angular velocity correction compared to linear theory.

Conclusions:

Ferrofluid annulus morphology and motion are controllable by tuning magnetic field components and annulus thickness.
The study suggests ferrofluid annuli in Hele-Shaw cells as a platform for microscale applications.
Potential applications include shape-programmable magnetic fluid objects and tunable fluidic-mixing devices.