Linear and nonlinear stability analyses of penetrative convection in porous media with a gravity field effect
Khaldoun Al-Yasiri, Huda A. Challoob, Akil J. Harfash, Ahmed K. Alshara
Abstract
We examine resonant flow of fluid in porous media over a variable gravity. A heat source/sink which varies with height has been investigated. In this case, it is shown that there are three distinct sub-layers that can cause convective overturning instability. The possibility of resonance between the motion in these layers is discussed. A specific area that has a very rapid increase in Rayleigh number is noticed. In addition to a linear theory, the nonlinear stability theory is studied. To verify the reliability of the linear instability limits, a three dimensional approximation is used.
Topics & Concepts
InstabilityPorous mediumConvectionMechanicsNonlinear systemSink (geography)Marginal stabilityRayleigh numberPhysicsLinear stabilityStability (learning theory)Classical mechanicsNatural convectionPorosityGeologyGeotechnical engineeringGeographyQuantum mechanicsCartographyComputer scienceMachine learningNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsFluid Dynamics and Vibration Analysis