Abstract
From the condition of pressure balance on the free surface of a charged rotating conducting-liquid drop, an analytical expression for the equilibrium shape of the drop is derived in the second-order approximation in a small parameter, the ratio of the deformation amplitude to the radius of the initial spherical shape. It is found that, in the linear approximation in the small parameter, the drop takes the form of an oblate spheroid, while in the quadratic approximation, the equilibrium shape of the drop differs from the spheroidal one.
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Original Russian Text © S.O. Shiryaeva, A.I. Grigor’ev, P.V. Moksheev, 2007, published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 4, pp. 32–40.
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Shiryaeva, S.O., Grigor’ev, A.I. & Moksheev, P.V. Nonlinear analysis of the equilibrium shape of a charged drop rotating around its symmetry axis. Tech. Phys. 52, 422–430 (2007). https://doi.org/10.1134/S1063784207040056
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DOI: https://doi.org/10.1134/S1063784207040056