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Global stability analysis of magneto convection in an inclined porous layer with the local thermal non-equilibrium model

Author

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  • Mathapati, Bhagya
  • Ragoju, Ravi
  • Yadav, Dhananjay
  • Vajravelu, Kuppalapalle

Abstract

The study investigates the onset of magneto convection in an inclined porous layer using the local thermal non-equilibrium (LTNE) model. To analyze the stability of flow, the linear and nonlinear theories are employed. The investigation of the basic flow through linear analysis is conducted by utilizing a decomposition of disturbances using normal modes. A detailed outcome on nonlinear stability is analyzed by defining an energy functional. The study examines the importance of non-dimensional parameters, namely the porosity-modified conductivity ratio (τ), the inter-phase heat transfer parameter (H), and the Hartmann number (Ha2), on the onset of convection. The shooting method with sixth order Runge–Kutta method is used to solve the eigenvalue problem by using NDSolve and FindRoot commands in Mathematica. The investigation highlights that stationary transverse rolls in a non-traveling mode (ω=0) and oscillatory transverse rolls in a traveling mode (ω≠0) exhibit similar characteristics. As Ha2 increases, the inclination angle at which transverse rolls vanish also increases, contributing to system stabilization. The study emphasizes that the Hartmann number (Ha2), the inter-phase heat transfer parameter (H), and the inclination angle (γ) all play significant roles in enhancing the system’s stability.

Suggested Citation

  • Mathapati, Bhagya & Ragoju, Ravi & Yadav, Dhananjay & Vajravelu, Kuppalapalle, 2026. "Global stability analysis of magneto convection in an inclined porous layer with the local thermal non-equilibrium model," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014778
    DOI: 10.1016/j.chaos.2025.117464
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    References listed on IDEAS

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    1. Kabeel, A.E. & El-Said, Emad M.S. & Dafea, S.A., 2015. "A review of magnetic field effects on flow and heat transfer in liquids: Present status and future potential for studies and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 45(C), pages 830-837.
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