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Motion of a Cylinder Partially Filled With a Nano-Ferro-Fluid Suspension in a Magnetic Field

X.J. Avula
Washington University in St. Louis, US

Keywords:
nano-ferrofluid suspension, cylinder motion, magnetic field, Lagrangian mechanics

Abstract:
This study describes the motion of a partially full cylinder containing a nano-ferrofluid suspension when subjected to magnetic and nonmagnetic forces. The cylinder is allowed to roll from a state of rest without slipping on a horizontal and an inclined plane while the contained ferrofluid is simultaneously subjected to a magnetic field parallel to the plane and a nonmagnetic force such as gravity. Neglecting viscous dissipation and free-surface distortion, Lagrange’s equations of motion are derived and numerically solved for different magnetic strengths. The results point out certain oscillating components and other peculiarities in the motion that may have practical implications. The primary motivation for this study has been the integration of nanoscale materials with mesoscale and macroscale devices.

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