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Combined effect of magnetic field and rotation is considered on the stability of stratified visco-elastic Walters' (Model B') fluid in porous medium. In contrast to the Newtonian fluids, the system is found to be unstable at stable stratification for low values of permeability or high values of kinematic viscoelasticity. Magnetic field is found to stabilize the small wavelength perturbations for unstable stratification. Variation of growth rate in the case of unstable stratification is depicted graphically with the variation in viscosity, viscoelasticity and permeability. It has been found that the growth rate increases with the increase in kinematic viscosity and permeability, whereas it decreases with the increase in kinematic viscoelasticity.
Czasopismo
Rocznik
Tom
Strony
187--197
Opis fizyczny
Bibliogr. 13 poz.
Bibliografia
- 1. S. CHANDRASEKHAR, Hydrodynamic and hydromagnetic stability, Dover Publications, New York 1981.
- 2. W. H. REID, The effects of surface tension and viscosity on the stability of two superposed fluids, Proc. Camb. Phil. Soc., 57, p. 415, 1961.
- 3. J. G. OLDROYD, Non-Newtonian effects in steady motion of some idealized elastico-viscous liquid. Proc. Roy. Soc., A245, p. 278, London 1958.
- 4. P. K. BHATIA AND J. M. STEINER, Convective instability in a rotating viscoelastic fluid layer, Z. Angew. Math. Mech., 52, p. 321, 1972.
- 5. R. C. SHARMA AND V. KUMARI, Thermosolutal convection in a Maxwellian viscoelastic fluid in porous medium, Czechoslovak Journal of Physics, 31, 1, 1993.
- 6. K. WALTERS, The motion of an elastico-viscous liquid contained between coaxial cylinders, Quart. J. Mech. Appl. Math., 13, p. 444, 1960.
- 7. R. C. SHARMA AND P. KUMAR, Study of the stability of two superposed Walters' (Model B') visco-elastic liquids, Czechoslovak Journal of Physics, 47, 2, p. 197, 1997.
- 8. E. R. LAPWOOD, Convection of a fluid in porous medium, Proc. Camb. Phil. Soc., 44, p. 508, 1948.
- 9. R. A. WOODING, Rayleigh instability of a thermal boundary layer inflow through a porous medium, J. Fluid Mechanics, 9, p. 183, 1960.
- 10. J. A. M. MCDONNEL, Cosmic dust, John Wiley and Sons, p. 330, Toronto 1978.
- 11. R. C. SHARMA, M H D instability of rotating superposed fluids through porous medium, Acta Physica Hungarica, 42, p. 21, 1977.
- 12. P. R. SHARMA AND H. KUMAR, Steady flow and heat transfer of Walters' (Model B') fluid through porous pipe of uniform circular cross-section with small suction, Proc. Nat. Acad. Sci. India, 65(A)I, p. 75, 1995.
- 13. R. C. SHARMA, Stability of stratified fluid in porous medium in the presence of horizontal magnetic field and rotation, Jnanabha, 21, p. 67, 1991.
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Bibliografia
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bwmeta1.element.baztech-article-BAT7-0001-0009