Published September 12, 2024 | Version v1
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Investigating the Role of the Vadasz Number in Rotating Bidispersive Porous Media Convection

  • 1. Department of Mathematics and Statistics, University of Catania, Via Valdisavoia, 95123 Catania, Italy

Description

The onset of thermal convection in uniformly rotating bidispersive horizontal porous layer, uniformly heated from below, is analyzed. A generalized Darcy equation for the macro-phase is considered to take the Vadasz number into account. It is proved that the presence of the Vadasz number can give rise to oscillatory motion at the loss of stability of thermal conduction solution. Keywords: bidispersive porous medium; convection; inertia effect; thermal rotating convection

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