Dispersion in cellular thermel convection in porous layers
type: Item
instance of: scholarly article
title: Dispersion in cellular thermel convection in porous layers
zbMATH Open document ID: 0662.76106
DOI: 10.1016/0017-9310(88)90096-8
author: John G. Georgiadis
author: Ivan Catton
published in: International Journal of Heat and Mass Transfer
publication date: 1988-01-01T00:00:00Z
review text: A numerical and experimental study is reported for the case of two- dimensional buoyancy-driven convection in saturated horizontal packed beds. The classical Darcy model is extended by the Forchheimer (inertial) term and the effective thermal conductivity of the medium is represented by the sum of a stagnant and a (hydrodynamic) dispersive component, the latter being proportional to the local filtration velocity amplitude. Bifurcation analysis of the porous Bénard problem with dispersive and inertial terms proves that the results of the classical Darcy model still hold at the onset of convection for weak dispersion. Both terms are important for steady convection in shallow packed beds. The effect of dispersion on Nusselt number is stronger than that of inertia unless the Prandtl number of the porous medium is of order 0.01 or less. The ratio of layer thickness to bead diameter is shown to be a significant parameter of the problem that can help explain some contradictory experimental results.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A10
Mathematics Subject Classification ID: 76-05
zbMATH DE Number: 4083259
zbMATH Keywords: two-dimensional buoyancy-driven convection
zbMATH Keywords: saturated horizontal packed beds
zbMATH Keywords: Darcy model
zbMATH Keywords: Forchheimer (inertial) term
zbMATH Keywords: effective thermal conductivity
zbMATH Keywords: Bifurcation analysis
zbMATH Keywords: porous Bénard problem with dispersive and inertial terms
zbMATH Keywords: shallow packed beds
zbMATH Keywords: Nusselt number
zbMATH Keywords: Prandtl number
zbMATH Keywords: ratio of layer thickness to bead diameter
MaRDI profile type: Publication
full work available at URL: 0017-9310(88)90096-8
OpenAlex ID: W2049154686
description: scientific article; zbMATH DE number 4083259