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The Rayleigh-Taylor instability of two superposed Walters B' elastico-viscous fluids is studied. For stable stratifications, the system is found to be stable or unstable under certain conditions. This is in contrast to the stability of two superposed Newtonian fluids where the system is stable for stable stratifications. However, the system is unstable for unstable stratifications. This problem has also been studied for electrically conducting Walters B' fluid in the presence of a variable horizontal magnetic field. For stable stratifications, the results are found to be the same as in the hydrodynamic case. However, for unstable stratifications, the magnetic field has astabilizing effect.
Rocznik
Tom
Strony
233--241
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
autor
- Department of Mathematics, Govt Post Graduate College Seema Himachal Pradesh University, Shimla-171207, INDIA, mahinder_singh91@rediffmail.in
Bibliografia
- Bhatia P.K. (1974): Rayleigh-Taylor instability of two viscous superposed conducting fluids. - Nuovo. Cimento,19B, Issue 2, pp.161-168.
- Chakraborty G. and Sengupta P.R. (1994): MHD flow of unsteady viscoelastic (Walters liquid B') conducting fluid between two porous concentric circular cylinders. - Proc. Nat. Acad. Sci. India., vol.64A, pp.75-80.
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
- Fredricksen A.G. (1964): Principles and Applications of Rheology. - New Jersey: Prentice-Hall Inc.
- Hide R. (1955): Waves in a heavy, viscous, incompressible, electrically conducting fluid of a variable density in the presence of a magnetic field. - Proc. R. Soc. Lond., vol.233, No.1194, pp376-396.
- Hide R. (1956a): The character of the equilibrium of a heavy, viscous, incompressible, rotating fluid of variable density I. general theory. - Quart. J. Mech. Appl. Math. vol.9, No.1, pp.22-34.
- Joseph D.D. (1976): Stability of Fluid Motion II. - New York: Springer-Verlag.
- Kent A. (1966): Instability of laminar flow of a magneto-fluid. - Phys. Fluids, vol.9, No.7, pp.1286-1289.
- Oldroyd J.G. (1958): Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids. - Proc. Roy. Soc. (Lon.), A245, No.1241, pp.278-297.
- Sharma R.C. (1978): Instability of the plane interface between two viscoelastic superposed conducting fluids. - J.Math. Phys. Sci., vol.12, No.6, pp.603-613.
- Sharma R.C. and Sharma K.C. (1978): Rayleigh-Taylor instability of two viscoelastic superposed fluids. - Acta Physica Hung., vol.45, No.3, pp.213-220.
- Sharma R.C. and Kumar P. (1995): Rayleigh-Taylor instability of fluids in porous medium in the presence of suspended particles and variable magnetic field. - J. Math. Phys. Sci., vol.29, pp.81-90.
- Sharma R.C. and Kumar P. (1998): Rayleigh-Taylor instability of two superposed conducting Walters B' elastico-viscous fluids in hydromagnetics. - Proc. Nat. Acad. Sci. India, 68A, No.2, pp.151-161.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ5-0015-0036