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'''[http://www.wix.com/kippnts/nldofferrofluid#! Nonlinear Dynamical Analysis of Ferrofluid]''' | '''[http://www.wix.com/kippnts/nldofferrofluid#! 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. | 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. | ||
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=== Hertzian Coil === | === Hertzian Coil === | ||
=== Ferrofluid === | === Ferrofluid === | ||
== | == Experimental Apparatus == | ||
=== Apparatus === | === Apparatus === | ||
=== Parts list === | === Parts list === | ||
==Experimental Procedure== | |||
# Hertzion Coil | # Hertzion Coil | ||
# Teflon Fluid Holder | # Teflon Fluid Holder | ||
Revision as of 15:55, 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
Literature Review
Hertzian Coil
Ferrofluid
Experimental Apparatus
Apparatus
Parts list
Experimental Procedure
- Hertzion Coil
- Teflon Fluid Holder
- Power Supply
- High-speed Camera
- Ferrofluid - EFH-1
References
T. Mahr and I. Rehberg, "Nonlinear dynamics of a single ferrofluid-peak in an oscillating magnetic field," Physica D, vol. 111, pp. 335-346, Jan 1998.