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The effect of horizontal magnetic field is considered on the stability of stratified viscoelastic Walters' (Model B') fluid in the presence of rotation. In contrast to the Newtonian fluids, the system is found to be unstable for small wavelength perturbations for the case of stable stratification. It is also found that the magnetic field stabilizes the certain wave-number band for unstable stratification in the presence of rotation and this wave - number range increases with the increase in magnetic field and decreases with the increase in kinematic visco-elasticity.
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Tom
Strony
41--53
Opis fizyczny
bibliogr. 11 poz.
Bibliografia
- [1] RAYLEIGH Lord, Investigation of the character of an incompressible heavy fluid of variable density, Proc. London Math. Soc., 1883, 14, 170.
- [2] CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover Publication, New York, 1981.
- [3] REID W.H., The effects of surface tension and viscosity on the stability of two superposed fluids, Proc. Camb. Phil. Soc., 1961, 57, 415.
- [4] BELLMAN R., PENNINGTION R.H., Effects of surface tension and viscosity on Taylor instability, Quart. Appl. Math., 1954, 12, 151.
- [5] GUPTA A.S., Rayleigh–Taylor instability of viscous electrically conducting fluid in the presence of a horizontal magnetic field, J. Phys. Soc. Japan, 1963, 18, 1073.
- [6] HIDE R., Waves in a heavy, viscous, incompressible, electrically conducting fluid of variable density in the presence of a magnetic field, Proc. Roy. Soc. (Lon.), 1955, A233, 376.
- [7] KENT A., Instability of laminar flow of a magneto fluid, Phys. Fluids, 1966, 9, 1286.
- [8] WALTERS K., The motion of an elastico-viscous liquid contained between coaxial cylinders, Quart. J. Mech. Appl. Math., 1960, 13, 444.
- [9]WALTERS K., Non-Newtonian effects in some elastico-viscous liquids whose behaviour at small rates of shear is characterised by a general linear equation of state, Quart. J. Mech. Appl. Math., 15, 63.
- [10] SHARMA R.C., KUMAR P., Study of the stability of two superposed Walters’ (Model B′) visco-elastic liquids, Czechoslovak Journal of Physics, 1997, 47, No. 2, 197.
- [11] SHARMA R.C., KUMAR P., Rayleigh–Taylor instability of stratified Walters’ (Model B′) fluid in the presence of a variable horizontal magnetic field and suspended particles, JIMS, 2001, 68.
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Bibliografia
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bwmeta1.element.baztech-article-BPW8-0012-0003