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=Nonlinear Dynamical Analysis of Ferrofluid= | =Nonlinear Dynamical Analysis of Ferrofluid= | ||
Ferrofluid exibits nonlinear dynamical behavior in response to both static and oscillating external magnetic fields. An experiment was developed to isolate a single peak response of ferrofluid to an electromagnetic field generated by a hertzien coil. The apparatus was configured such that a single peak could be isolated. The response was observed with a highspeed camera. First a static magnetic field was applied. This resulted in nonlinear surface behavior accompanied by a hysteresis effect. Spontaneous peak formation was observed at a critical field magnitude. We have examined this response and related an established qualitative model. A critical magnitude is observed in which spontaneous peak formation is induced (normal field instability). Subcritical instability is also observed and results in characteristically different peaks. Next, a thermal component was intruced and a corrosponding term was added to the dynamical equation to account for this effect. This nonlinear surface oscillating bifurcation is rarely studied or observed. | |||
== Background == | == Background == | ||
Revision as of 13:44, 11 October 2011
Nonlinear Dynamical Analysis of Ferrofluid
Ferrofluid exibits nonlinear dynamical behavior in response to both static and oscillating external magnetic fields. An experiment was developed to isolate a single peak response of ferrofluid to an electromagnetic field generated by a hertzien coil. The apparatus was configured such that a single peak could be isolated. The response was observed with a highspeed camera. First a static magnetic field was applied. This resulted in nonlinear surface behavior accompanied by a hysteresis effect. Spontaneous peak formation was observed at a critical field magnitude. We have examined this response and related an established qualitative model. A critical magnitude is observed in which spontaneous peak formation is induced (normal field instability). Subcritical instability is also observed and results in characteristically different peaks. Next, a thermal component was intruced and a corrosponding term was added to the dynamical equation to account for this effect. This nonlinear surface oscillating bifurcation is rarely studied or observed.
Background
[type the background here]
Linear stability analysis
Chaotic dynamics
Experiment
Parts list
- Hertzion Coil
- Teflon Fluid Holder
- Power Supply
- High-speed Camera
- Ferrofluid - EFH-1