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Capillary instability of fluid cylinder under the effect of transverse varying electric field

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The electrodynamic instability of a capillary dielectric fluid cylinder (radius a and density p) penetrated by a uniform axial electric field surrounded by a transverse varying electric field is investigated. A general dispersion relation to all possible axisymmetric modes of perturbation for all short wavelengths and long wavelengths is derived and discussed in detail. The model is capillary stable to axisymmetric modes if the longitudinal wave number normalized with respect to the jet radius is equal to or greater than 1.05757 and vice versa. The axial electric fields pervading the interior and the exterior ofthe cylinder are stabilizing or destabilizing for all disturbance modes according to some restrictions. The transverse varying electric field is purely stabilizing in the axisymmetric disturbances for all wavelengths. The electrodynamic force has a strong stabilizing influence in the axisymmetric mode and can suppress the capillary instability above a certain value of the basic electric field.
Rocznik
Strony
151--158
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
  • Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
Bibliografia
  • [1] Cowling TG: Magnetohydrodynamics, Wiley Interscience, New York, (1977).
  • [2] Melcher JR: Field coupled surface waves, Technology Press, Cambridge, Massachusets, (1963).
  • [3] Rayleigh, JW: The theory of sound, Dover Publ., New York, (1945).
  • [4] Chandrasekhar, S: Hydrodynamic and Hydromagnetic Stability, Dover Publ., New York, (1981).
  • [5] Chandrasekhar , S and Fermi, E: Problems of gravitational stability in the presence of a magnetic field, Astrophysical J., 118, (1953), 116-141.
  • [6] Mohamed AA et al., Electrohydrodynamic stability of m = 0 mode of a rotating jet under a periodic field, Physica Scripta, 31, (1985), 193-197.
  • [7] Radwan, AE: Electrification capillary instability of a charging annular fluid jet, Kyungpook Math. J., 38, (1998), 1-12.
  • [8] Radwan, AE: Electrogravitational instability of a fluid cylinder under modulating varying electric field by utilizing the energy prinicple, Jnanabha, 24, (1994), 157-175.
  • [9] Elzab, SS: Effect of axial currents on the capillary instability of a gas-core liquid jet, J. Phys. Soc. Japan, 60, (1991), 1233-1236.
  • [10] Elzab, SS: Electrodynamic stability of a self-gravitating fluid cylinder, Physica Scripta, 52, (1995), 56-59.
  • [11] Abramowitz, M and Stgun, I: Handbook of mathematical junctions, Dover Publisher, New York, (1970).
  • [12] Radwan, AE and Elazab, SS: Magnetogravitational stability of variable streams, 1. Phys. Soc. Japan, 57, (1988), 461-463.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0022-0050
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