Logarithmic Meniscus of Thin Magnetic Fluid Layer under Axisymmetric Magnetic Field

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  • Murakami Youichi
    Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture
  • Ohkita Toshiyuki
    Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture
  • Gotoh Kanefusa
    Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture

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  • Logarithmic Meniscus of Thin Magnetic F

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Static deformation of the free surface is investigated for a thin magnetic fluid layer under axisymmetric magnetic field. Special attention is paid to the case that the effect of the surface tension is much larger than that of the gravity (i.e. the Bond number, Bo is very small). It is shown analytically that in the limit Bo→0 the tail of the elevation of the surface decreases as −log r away in the radial direction as r→∞, irrespective of the form of the applied field. Numerical calculations for the case of the dipole field sustain the asymptotic result.

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