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Nonlinear Rayleigh–Taylor instability of the cylindrical fluid flow with mass and heat transfer

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Abstract

The nonlinear Rayleigh–Taylor stability of the cylindrical interface between the vapour and liquid phases of a fluid is studied. The phases enclosed between two cylindrical surfaces coaxial with mass and heat transfer is derived from nonlinear Ginzburg–Landau equation. The F-expansion method is used to get exact solutions for a nonlinear Ginzburg–Landau equation. The region of solutions is displayed graphically.

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Acknowledgement

This work was supported by the Deanship of Scientific Research, Taibah University, KSA, 2015.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia

    ALY R SEADAWY

  2. Mathematics Department, College of Arts and Science, Taif University, Ranyah, Saudi Arabia

    K EL-RASHIDY

  3. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    ALY R SEADAWY & K EL-RASHIDY

Authors
  1. ALY R SEADAWY
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  2. K EL-RASHIDY
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Correspondence to ALY R SEADAWY.

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SEADAWY, A.R., EL-RASHIDY, K. Nonlinear Rayleigh–Taylor instability of the cylindrical fluid flow with mass and heat transfer. Pramana - J Phys 87, 20 (2016). https://doi.org/10.1007/s12043-016-1222-x

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  • DOI: https://doi.org/10.1007/s12043-016-1222-x

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