Nonaxisymmetric Instability of a Streaming Annular Fluid Jet Surrounding a Tar Cylinder under General Tenuous Varying Magnetic Fields

• Autorzy: Abdel-Gaied, S. M.
• Języki publikacji: EN

Abstrakty

EN

The magnetodynamic stability of streaming annular jet surrounding a tar mantle under inertia and electromagnetic forces with varying magnetic fields, is developed. A general eigenvalue relation is derived and discussed. The axial interior and exterior fields have strong stabilizing influences for symmetric m = 0 and asymmetric m ≠ 0 modes. The azimuthal varying field is purely destabilizing for m = 0 but in the m ≠ 0 it is stabilizing or destabilizing according to restrictions. The streaming has a strong destabilizing influence in all modes for all wavelengths. Its influence increases the MFD unstable domains and decreases those of stability. As the tenuous azimuthal magnetic field infuence is superior to those of axial fields, the MFD unstable domains are increasing with increasing q (the tar cylinder radius normalized with respect to that of the fluid) values andvice versa. If the unperturbed fluid velocity is smaller than the Alfven wave velocity, the model destabilizing character is suppressed and stability arises.

Słowa kluczowe

PL

siły elektromagnetyczne; hydrodynamika; hydromagnetyka

EN

electromagnetic forces; axial fields; hydrodynamic; hydromagnetic

• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2008
• Tom: Vol. 12, nr 1
• Strony: 87-98
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Abdel-Gaied, S. M.

• Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt

Bibliografia

• [1] Bateman, G., Magnetohydrodynamic, Instabilities The M. I. T. Press, (1978).
• [2] Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Dover, New York, (1981).
• [3] Drazin, P. G. and Reid W. H., Hydrodynamic Stability. Cambridge Univ. Press, London, (1981).
• [4] Kendall, J. M., Experiments on the Capillary Instability of an Annular Liquid Jet, Phys. Fluids, 29, (1986).
• [5] Radwan, A. E. and Elazab S. S., Simon Stevin, 61, (1987), 293.
• [6] Radwan, A. E., Indian Pure & Appl. Maths. 19, (1988), 1105.
• [7] Radwan, A. E., Instability of a Hollow Jet with Effects of Surface Tension and Fluid Inertia, J. Phys. Soc. Japan, 58 , (1989), 1225.
• [8] Radwan, A. E. and Elazab S. S., Nuovo Cimento, 117, (2002), 257.
• [9] Radwan, A. E., J. Appl. Maths. & Comput. 147 ,2003, 191.
• [10] Radwan, A. E., Hydromagnetic Stability of a Streaming Annular Liquid Jet Having a Solid Rod as a Mantle Under Longitudinal Magnetic Fields, Simon Stevin, 64, (1990), 365.
• [11] Rayleigh, J. W., The Theory of Sound, Dover, New York, 1 and 2, (1945).