THERMOSOLUTAL CONVECTION IN A BRINKMAN POROUS MEDIUM WITH REACTION AND SLIP BOUNDARY CONDITIONS
Alaa Jabbar Badday, Akil J. Harfash
Abstract
The Brinkman model has been utilized to investigate the double-diffusive convection in a porous medium with reaction. The influence of slip boundary conditions has been investigated. The equilibrium solute concentration is assumed as a linear function of a temperature. After conducting a linear instability and nonlinear stability analysis, the Chebyshev collocation method is used to solve the eigenvalue systems. The effect of the chemical reaction on temperature and salt Rayleigh numbers is depicted in the graphic.
Topics & Concepts
Porous mediumMechanicsBrinkman numberConvectionMaterials scienceInstabilityBoundary value problemEigenvalues and eigenvectorsNonlinear systemChebyshev polynomialsChebyshev filterThermodynamicsSlip (aerodynamics)Rayleigh numberPorosityMathematical analysisPhysicsMathematicsNatural convectionNusselt numberComposite materialTurbulenceQuantum mechanicsReynolds numberNanofluid Flow and Heat TransferHeat and Mass Transfer in Porous MediaRheology and Fluid Dynamics Studies