Thermal instability of a power‐law fluid‐saturated porous layer with an internal heat source and vertical throughflow
Gundlapally Shiva Kumar Reddy, Ravi Ragoju
Abstract
Abstract The thermal instability of internally heated convection in a porous medium saturated by a power‐law (PL) fluid is studied. The governing dimensionless equations are solved using the normal mode approach, which leads to an eigenvalue problem for the linear stability theory. The neutral curves are obtained for different prescribed values of the other physical parameters. The effect of the PL index, internal heat source parameter, and Peclet number on the onset of instability was analyzed. Furthermore, an analytical solution is obtained for the regime of small wave numbers by using asymptotic analysis.
Topics & Concepts
Péclet numberThroughflowInstabilityMechanicsDimensionless quantityInternal heatingThermodynamicsConvective instabilityConvectionPorous mediumPower-law fluidInternal waveConvective heat transferMaterials sciencePhysicsPorosityFlow (mathematics)Composite materialNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsHeat and Mass Transfer in Porous Media