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Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions

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  • Badday, Alaa Jabbar
  • Harfash, Akil J.

Abstract

We investigate the linear instability of a fully developed pressure-driven flow of an electrically conducting fluid in a porous channel using the Brinkman-Darcy model and the additional effects of a uniform magnetic field and slip boundary conditions. Two Chebyshev collocation techniques are used to solve the ordinary eigenvalue system governing the onset of convection. The critical Reynolds number, Rec, wavenumber, ac, and wave speed cc are found in terms of the porous parameter M, the dimensionless slip length, N0, and the Hartmann number Ha.

Suggested Citation

  • Badday, Alaa Jabbar & Harfash, Akil J., 2022. "Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    • Handle: RePEc:eee:apmaco:v:432:y:2022:i:c:s0096300322004374
    DOI: 10.1016/j.amc.2022.127363
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    References listed on IDEAS

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    1. Harfash, Akil J. & Meften, Ghazi Abed, 2019. "Couple stresses effect on instability and nonlinear stability in a double diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 301-320.
    2. Bhatti, M.M. & Abbas, M. Ali & Rashidi, M.M., 2018. "A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 381-389.
    3. Borrelli, Alessandra & Giantesio, Giulia & Patria, Maria Cristina, 2015. "MHD orthogonal stagnation-point flow of a micropolar fluid with the magnetic field parallel to the velocity at infinity," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 44-60.
    4. Sayyed, S.R. & Singh, B.B. & Bano, Nasreen, 2018. "Analytical solution of MHD slip flow past a constant wedge within a porous medium using DTM-Padé," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 472-482.
    5. Harfash, Akil J., 2016. "Resonant penetrative convection in porous media with an internal heat source/sink effect," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 323-342.
    6. Harfash, Akil J. & Meften, Ghazi Abed, 2018. "Couple stresses effect on linear instability and nonlinear stability of convection in a reacting fluid," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 18-25.
    7. Bourantas, G.C. & Loukopoulos, V.C. & Joldes, G.R. & Wittek, A. & Miller, K., 2019. "An explicit meshless point collocation method for electrically driven magnetohydrodynamics (MHD) flow," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 215-233.
    8. Ene, Remus-Daniel & Marinca, Vasile, 2015. "Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 389-401.
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