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Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media

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Thermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of uniform vertical rotation and Brinkman law on the stability of… Click to show full abstract

Thermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of uniform vertical rotation and Brinkman law on the stability of the steady state of the momentum equations in a BDPM are investigated. Linear and nonlinear stability analysis of the conduction solution is performed, and the coincidence between linear instability and nonlinear stability thresholds in the $$L^2$$ L 2 -norm is obtained.

Keywords: effect anisotropy; brinkman; convection; onset convection; convection rotating; anisotropy onset

Journal Title: Acta Mechanica
Year Published: 2021

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