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Nonlinear Rayleigh-Taylor instability in the presence of magnetic field and mass and heat transfer

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Abstract

The nonlinear Rayleigh-Taylor instability in the presence of magnetic field and mass and heat transfer is studied using a simplified formulation. The method of multiple scale expansion is employed for the investigation. It is found that the nonlinear effects of magnetic field and mass and heat transfer stabilize the classically unstable system. A simple non-dimensional parameter is also found to characterize the stability of the system.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Assitut University, Assiut, Egypt

    M. H. Obied Allah

  2. Faculty of Science, Assiut University, Sohag, Egypt

    A. A. Yahia

Authors
  1. M. H. Obied Allah
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  2. A. A. Yahia
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Allah, M.H.O., Yahia, A.A. Nonlinear Rayleigh-Taylor instability in the presence of magnetic field and mass and heat transfer. Astrophys Space Sci 181, 183–194 (1991). https://doi.org/10.1007/BF00639087

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  • DOI: https://doi.org/10.1007/BF00639087

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