Nonlinear calculation of the electric field strength on the surface of a melting hailstone in a thundercloud |
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Authors: | V A Koromyslov A I Grigor’ev S O Shiryaeva Yu N Zhigalko |
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Institution: | 1.Demidov State University,Yaroslavl,Russia |
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Abstract: | The contribution of aerodynamic pressure acting on the surface of a water layer to a total electric field near the free surface
of the layer is considered. The layer covers a charged melting hailstone moving parallel to the external electrostatic field
vector. An asymptotic analytical expression for the electric field strength near a water-covered hailstone is derived in an
approximation that is quadratic in the amplitude of capillary oscillations of a charged conducting liquid layer on the surface
of the hailstone. It is found that the motion of the hailstone in ambient air influences the total electric field near the
hailstone only slightly but noticeably enhances energy exchange between neighboring oscillation modes. An air flow about the
hailstone is shown to have an appreciable effect on the possibility of nonlinear resonance energy exchange between initially
excited modes and modes due to the nonlinear interaction. |
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