Abstract
The stability of a slab of incompressible fluid with exponentially-increasing density, supported by a semi-infinite homogeneous region and supporting a semi-infinite region of exponentially-decreasing density has been investigated when the whole system rotates uniformly about a vertical axis. The familiar Rayleigh-Taylor stability problems are recovered from the general dispersion relation, both in the presence of rotation and in the absence of rotation.
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References
Al Ansary, 1986, Ph.D. Thesis, UIA Univ. Antwerp, Belgium.
Callebaut, D. K.: 1971,Lineaire en niet Lineaire perturbaties in Hydro-Magneto en Gravitodynamika, Simon Stevin, Equation (1.315).
Chakraborty, B. B.: 1980,Phys. Fluids 5, 1057.
Chakraborty, B. B.: 1982,Phys. Fluids 25, 743.
Chakraborty, B. B. and Bandyopadhyay, M.: 1975,Phys. Fluids 18, 762.
Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Ch. X, Oxford University Press, London.
Khater, A. H. and Obied Allah, M. H.: 1984,Astrophys. Space. Sci. 106, 245.
Rayleigh, L.: 1883,Proc. London Math. Soc. 14, 170.
Taylor, G. I.: 1950,Proc. Roy. Soc. London Ser. A 201, 192.
Wesson, J.: 1970,Phys. Fluids 13, 761.
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Obied Allah, M.H. Rayleigh-Taylor stability in the presence of rotation. Astrophys Space Sci 175, 149–155 (1991). https://doi.org/10.1007/BF00644432
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DOI: https://doi.org/10.1007/BF00644432