Thermal convection in a sparcely packed porous layer saturated with suspended particles

• Published in: International communications in heat and mass transfer Vol. 27; no. 3; pp. 315 - 324
• Main Author: Mackie, Calvin
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Ltd 01.04.2000; Elsevier
• Subjects: BOUNDARY CONDITIONS; CONVECTION; Convection and heat transfer; ENGINEERING; Exact sciences and technology; Flow of fluids; Flows through porous media; Fluid dynamics; Fundamental areas of phenomenology (including applications); MATHEMATICAL MODELS; Mechanical permeability; Nonhomogeneous flows; PACKED BEDS; Particles (particulate matter); PERMEABILITY; Physics; POROUS MATERIALS; Saturation (materials composition); SUSPENSIONS; Suspensions (fluids); Thermodynamic stability; Turbulent flows, convection, and heat transfer; Packed beds; Suspended particle; Porous medium flow; Boundary conditions; Linear stability; Natural convection; Modelling; Analytical solution; Heat transfer
• ISSN: 0735-1933; 1879-0178
• DOI: 10.1016/S0735-1933(00)00112-3

This analytical study has considered the incipient convection of a sparcely packed porous medium saturated with suspended particles. A linear stability analysis is performed to determine the effects of the permeability of the medium and suspended components on the conditions for incipient instability under a range of thermal boundary conditions. The flow in the medium is modeled by using the Brinkman-extended Darcy model. The analysis reveals that the stability of the system is affected significantly by the presence of the porous medium, state of particles and the thermal boundary conditions. Moreover, the results of this study bridge the gap between thermal convection in a porous medium and in a classical fluid with suspended particles.