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Impact of thermal non-equilibrium on magnetoconvection in a porous enclosure

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Abstract

Stability analyses of magnetoconvection in thermally non-equilibrium high porosity liquid-saturated porous enclosure are carried out. The porous enclosure is subjected to vertical adiabatic and horizontal stress-free, isothermal boundaries, and the weighted residual Galerkin technique is employed to perform the analysis. The linear theory reveals that magnetoconvection in a shallow enclosure is earlier than in tall and square enclosures. Asymptotic solutions of Rayleigh number are reported for large and small inter-phase heat transfer coefficient values. Magnetoconvection in the liquid enclosure and low porosity enclosure can be obtained in the particular case of the current study. Thermal non-equilibrium is more prominent in the high-porosity enclosure than in the low-porosity enclosure. Lorenz model is transformed into the Ginzburg Landau equation using the multi-scale method. The heat transport at the bottom wall is quantified through the weighted average Nusselt number. The Brinkman number, the inverse Darcy number, the Chandrasekhar number, and the inter-phase heat exchange parameter stabilize the system and diminish the heat transport, whereas the thermal conductivity ratio shows the opposite effect.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bangalore, 560058, India

    C. Siddabasappa & T. N. Sakshath

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Siddabasappa, C., Sakshath, T.N. Impact of thermal non-equilibrium on magnetoconvection in a porous enclosure. J Therm Anal Calorim 147, 14539–14553 (2022). https://doi.org/10.1007/s10973-022-11546-7

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