Natural convection in partially porous media: a brief overview

Abstract

If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation. AbstractPurpose -This paper aims to provide a limited, but selective bibliography on modelling heat and mass transfer in composite fluid-porous domains. Design/methodology/approach -Since the pioneer study by Beavers and Joseph, the problem of interface continuity and/or jump conditions at a fluid-porous interface has been of interest to the fluid mechanics and heat and mass transfer community. The paper is concerned both with numerical simulations of heat and fluid flow in such systems, and with the linear stability problems. Findings -The one-and two-domain formulations are equivalent. Using the Darcy-Brinkman extension instead of the Darcy model reduces the number of ad hoc parameters in this configuration.Research limitations/implications -The problem of double diffusive convection has still to be solved and analyzed. Practical implications -The discussion on the interface conditions is of great relevance to many industrial and practical situations. Originality/value -The important question of the macroscopic formulation of the problem is tackled in the paper.

Mixed convection inside a fluid‐porous composite cavity with centrally rotating cylinder

“…A single‐domain approach described by Goyeau and colleagues and Gobin and Goyeau is used for solution. In the single‐domain approach, the velocity continuity and the mass conservation are taken across the porous and clean media.…”

Thermosolutal convection in a fluid‐porous composite medium

“…It is observed from the previous section that the governing equations are highly nonlinear in nature, so their solutions by applying a numerical method are inevitable. A single‐domain approach described by Goyeau et al [39] and Gobin and Goyeau [40] is taken for the numerical solution. In the single‐domain approach the vector ℜ is defined as follows The modified MAC (Marker and Cell) method developed by Hirt and Cook [42] is used to solve the mass, momentum, energy, and concentration equations.…”

“…In the two‐domain approach fluid media and porous media are treated separately, with implementing an interfacial stress boundary condition. However, Goyeau et al [39] and Gobin and Goyeau [40] have proposed a single‐domain approach for the solution of flow inside the fluid‐porous composite domain. Gobin et al [41] have studied the convective heat and solute transfer in partially filled porous cavities using the single domain approach.…”

“…The Brinkman term considers viscous diffusion and the Forchheimer term accounts for the porous inertia effect and quadratic drag. The single‐domain approach described by Goyeau et al [39] and Gobin and Goyeau [40] has been employed for the solution of the problem. Numerical simulations have been performed for the pertinent parameters to understand their influence on flow, heat, and mass transfer.…”

Numerical study of the effects of natural convection in a thermoacoustic configuration

“…Natural convection in fluids and porous cavities has been treated extensively in the literature (see for example [7,8]). A more recent study has been conducted by Weisman et al [9] in a geometry of a thermoacoustic engine.…”