• Title/Summary/Keyword: Rosensweig Ferrohydro-dynamic Bernoulli Equation

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A Study on the Elevation Control and the Deformation of Free Surface of Magnetic Fluid by Electromagnetic Force (전자기력에 의한 자성유체의 자유표면 형성 및 상승높이 제어에 관한 연구)

  • Lee, Eun-Jun;Shin, Jin-Oh;Park, Myeong-Kwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.12
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    • pp.1699-1706
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    • 2002
  • In this paper, the investigation about the elevation control and the formation of the free surface of magnetic fluids is carried out theoretically and experimentally on the basis of magnetic fluids is carried out theoretically and experimentally on the basis of Rosensweig' Ferrohydrodynamic Bernoulli Equation. Governing equations of magnetic fields are solved using the concept of vector potential. While applied magnetic fields are induced by 4$\times$4 electromagnet located under the magnetic fluid, the fee surface of the magnetic fluid is formed the balance of surface force, gravity, pressure difference, magnetic normal pressure and magnetic body force. The results of numerical simulation and experiment show the formation of the free surface of the magnetic fluid. Using PID control, an experiment for the elevation control of the free surface of magnetic fluids is performed.