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Nonlinear instability of finitely conducting cylindrical flows through porous media

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  • Khalil Elcoot, Abd Elmonem
  • Moatimid, Galal M.

Abstract

A weakly nonlinear stability of two-layers flows between two concentric circular cylinders in porous media, is investigated. The two fluids are subjected to a uniform-axial electric field. The boundary value-problem of the considered system is analytically treated using a perturbation procedure based on the multiple scales-technique. The results of the first order determine the dispersion relation and the higher orders result in a Ginzburg–Landau equation, describing the behavior of the system. The topological features of stability picture are depicted. The effects of the electric field, Darcy's coefficients, streaming and conductivity on the stability are identified. The nonlinear theory predicted more accurately the instability, where new instability regions, appearing due to the nonlinear effects.

Suggested Citation

  • Khalil Elcoot, Abd Elmonem & Moatimid, Galal M., 2004. "Nonlinear instability of finitely conducting cylindrical flows through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 15-35.
    • Handle: RePEc:eee:phsmap:v:343:y:2004:i:c:p:15-35
    DOI: 10.1016/j.physa.2004.05.060
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    References listed on IDEAS

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    1. Moatimid, Galal M., 2003. "Nonlinear waves on the surface of a magnetic fluid jet in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 525-544.
    2. Elhefnawy, Abdel Raouf F., 1992. "Nonlinear electrohydrodynamic Kelvin-Helmholtz instability under the influence of an oblique electric field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 419-435.
    3. Elhefnawy, Abdel Raouf F. & Agoor, Bothaina M.H. & Elcoot, Abd Elmonem Khalil, 2001. "Nonlinear electrohydrodynamic stability of a finitely conducting jet under an axial electric field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(3), pages 368-388.
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    Cited by:

    1. Elmonem Khalil Elcoot, Abd, 2007. "Nonlinear instability of charged liquid jets: Effect of interfacial charge relaxation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 411-428.

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