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Enhancing Magnetohydrodynamic Stability in Channel Flows through Porous Media Incorporating Darcy-Forchheimer Modifications into the Orr-Sommerfeld Analysis

Author

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  • Akindele M. Okedoye

    (Department of Mathematics, Federal University of Petroleum Resources, Effurun, Delta State, Nigeria)

  • Akpabokigho L. Panya

    (Department of Mathematics, Delta State University of Science and Technology, Ozoro, Delta State, Nigeria)

  • Muhammad M. Lawal

    (Department of Mathematics, Federal University of Petroleum Resources, Effurun, Delta State, Nigeria)

Abstract

This research paper investigates the stability characteristics of magnetohydrodynamic (MHD) flow within channels filled with porous media. Specifically, the study explores modifications to the classical Orr-Sommerfeld equation using the Darcy-Forchheimer model to account for the presence of porous media. The analysis aims to elucidate the combined influence of porous media and magnetic fields on flow stability in such systems. Numerical simulations and analytical techniques are employed to assess the impact of varying parameters on the stability behavior of the flow. The study revealed that the velocity profile increases with increase in Schmidt and Prandtl’s number and stabilizes with the increase in Grashof number and the buoyancy. The temperature profile increases with Reynold’s Number and Hartmann number. It stabilizes with Schmidt, Prandtl and Grashof number. The profile of species concentration stabilizes with thermo-phoretic parameter, Prandtl number and Darcy-Forchheimer’s parameter augumentation.

Suggested Citation

  • Akindele M. Okedoye & Akpabokigho L. Panya & Muhammad M. Lawal, 2024. "Enhancing Magnetohydrodynamic Stability in Channel Flows through Porous Media Incorporating Darcy-Forchheimer Modifications into the Orr-Sommerfeld Analysis," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 9(5), pages 135-151, May.
    • Handle: RePEc:bjc:journl:v:9:y:2024:i:5:p:135-151
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