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Abstrakty
The stability of compressible magnetized hollow cylinder (gas jet embedded into a liquid) pervaded by varying azimuthally magnetic field has been developed for all symmetric m = 0 and asymmetric m ≠ 0 perturbation modes (m transverse wavenumber). The problem is formulated well, apart from the singular solutions the different variables are determined, the stability criterion is derived and discussed. The axial field in the liquid region is stabilizing for all short and long wavelengths and that effect is independent of m values. In contrast, the azimuthal field in the gas is destabilizing or not according to restrictions and m values. The capillary force along the gas - liquid interface is destabilizing only for m = 0, for small longitudinal wavenumber and stabilizing in the rest. The compressibility has a strong stabilizing effect for all m ≥ 0 disturbance modes. Here the instability due to azimuthal field and the capillary force could be completely suppressed under restrictions and stability sets in.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
47--56
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Mathematics Department, Faculty of Science, Ain-Shams University, Cairo, Egypt
autor
- Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt
autor
- Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt
Bibliografia
- [1] Abramowitz, A and Stegun, I: Handbook of Mathematical Function, (1970), Dover Publ., New York, U.S.A.
- [2] Chandrasekhar, S: Hydrodynamic and Hydromagnetics Stability, (1961), Cambride Univ. Press, Cambridge, London, U.K.
- [3] Cheng, LY: Phys. Fluids, (1985), 28, 2614.
- [4] Drazin, PG and Reid, W: Hydrodynamic Stability, (1980), Cambridge Univ. Press, Cambridge, London, U.K..
- [5] Kendall, JM: Phys. Fluids, (1986), 29, 2086.
- [6] Radwan, AE and Elazab, SS: Simon Stevin, (1987), 61, 293.
- [7] Radwan, AE: J. Phys. Soc. Japan, (1989), 58, 1225.
- [8] Radman, AE: Int. J. Engng. Sci., (1989), 36, 87.
- [9] Radwan, AE: J. Pure and Appl. Sci., (2000), 19, 3.
- [10] Radwan, AE and Ogail, MA: Nuovo Cimento, (2003) 118B, 713.
- [11] Roberts, PH: An Introduction of MHD, (1967), Longman, London.
- [12] Rayleigh, JW: The Theory of Sound, (1945), Dover Publ., New York, U.S.A.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0006-0016