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Hydromagnetic Capillary Stability of Streaming Finite Hollow Cylinder with Azimuthal Field

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The hydro magnetic capillary stability of a streaming gas cylinder pervaded by an azimuthally varying magnetic field, surrounded by bounded fluid has been investigated for all kinds of perturbations. The problem is formulated, solved and upon applying appropriate boundary conditions, the dispersion relation is derived and discussed. The uniform magnetic field pervaded in the fluid is strongly stabilizing and that independently on the kind of perturbation. The azimuthally varying magnetic field in the gas region is purely destabilizing in the symmetric perturbation while it is so or otherwise in the asymmetric perturbation according to restriction. The radii ratio of the fluid-gas cylinder has a stabilizing tendency. The streaming has strong destabilizing influence for all short and long wavelengths. The capillary force is purely stabilizing in the asymmetric perturbation while it is so or not in the symmetric perturbation based on the wavelength is being shorter or longer than the gas cylinder circumference. Upon certain restrictions the destabilizing effect of the model could be suppressed and stability sets in.
Słowa kluczowe
Rocznik
Strony
153--177
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
  • Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
  • Mathematics Department, Women’s University College, Ain Shams University, Cairo, Egypt
Bibliografia
  • [1] Abramowitz, M and Stegun, I: Handbook of Mathematical Functions, (1970), Dover Publ., New York, USA.
  • [2] Chandrasekhar, S: Hydrodynamic and Hydromagnetic Stability, (1981), Dover Publ., New York, USA.
  • [3] Cheng, L: Phys. Fluids, (1985), 28, 2614.
  • [4] Drazin, PG and Reid, WH: Hydrodynamic Stability, (1980), Cambridge Univ. Press, London, UK.
  • [5] Kendall, JM: Phys. Fluids., (1986), 72, 2086.
  • [6] Radwan, AE and El-Azab, SS: Simon Stevin, (1987), 61, 293.
  • [7] Radwan, AE: Nuovo Cimento, (1990), 105B, 1185.
  • [8] Radwan, AE, El-Azab, SS and Hydia, WM: Nuovo Cimento, (2002), 117B, 257.
  • [9] Rayleigh, JM: The Theory of Sound, (1945), Dover Publ., New York, USA.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0006-0024
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