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The stability of the plane interface separating two Walters B' viscoelastic fluids has been studied. The density, viscosity and viscoelasticity are assumed to be exponentially varying. For stable stratifications, the system is found to be stable or unstable under certain conditions. The system is found to be unstable for unstable stratifications. Also the growth rates are found to decrease as well as increase with the increase in kinematic viscosity and kinematic viscoelasticity. The effect of a variable horizontal magnetic field is also considered. For the stable stratifications, in the hydromagnetic case also, the system is found to be stable or unstable under certain conditions. However, for the unstable stratifications, the magnetic field has got stabilizing effects.
Wydawca
Czasopismo
Rocznik
Tom
Strony
29--37
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
autor
- Department of Mathematics, ICDEOL, H. P. University, Shimla-171005 (HP), India., drpardeep@sancharnet.in
Bibliografia
- [1]HIDE R., Proc. Roy. Soc. (London), 1955, A233, 376.
- [2]HIDE R., Quart. J. Mech. Appl. Math., 1956, 9, 22.
- [3]CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover Publications, New York, 1981.
- [4]BHATIA P.K., Nuovo Cimento, 1974, 19B, 161.
- [5]SHARMA R.C., J. Math. Phys. Sci., 1978, 12, 603.
- [6]KENT, A., Phys. Fluids, 1966, 9, 1286.
- [7]SHARMA R.C., SHARMA K.C., Acta Phys. Hung., 1978, 45, 213.
- [8]FREDRICKSEN A.G., Principles and Applications of Rheology, Prentice-Hall Inc., New Jersey, USA, 1964.
- [9]JOSEPH D.D., Stability of Fluid Motions, Heidelberg and New York, Vol. I and II, Springer-Verlag, Berlin, 1976.
- [10]OLDROYD J.G., Proc. Roy. Soc. (London), 1958, A245, 278.
- [11]CHAKRABORTY G., SENGUPTA P.R., Proc. Nat. Acad. Sci. India, 1994, 64, 75.
- [12]SHARMA P.R., KUMAR H., Proc. Nat. Acad. Sci. India, 1995, 65, 75.
- [13]SHARMA R.C., KUMAR P., Proc. Nat. Acad. Sci. India, 1998, 68, 151.
- [14]WALTERS K., Quart. J. Mech. Appl. Math., 1960, 13, 444.
- [15]WALTERS K., J. Mécanique, 1962, 1, 469.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW8-0013-0044