Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media
Florinda Capone, Roberta De Luca, Giuliana Massa
Abstract
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 $$L^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> -norm is obtained.
Topics & Concepts
IsotropyPorous mediumNonlinear systemAnisotropyThermal conductionThermodynamicsMaterials scienceConvectionInstabilityPhysicsPorosityMechanicsOpticsComposite materialQuantum mechanicsNanofluid Flow and Heat TransferLattice Boltzmann Simulation StudiesHeat and Mass Transfer in Porous Media