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Non-Darcian effects on double-diffusive convection within a porous medium

Journal Article · · Numerical Heat Transfer. Part A, Applications
;  [1];  [2]
  1. CNRS, Toulouse (France). Inst. de Mecanique des Fluides
  2. Ohio State Univ., Columbus, OH (United States). Dept. of Mechanical Engineering

Natural convection in porous media is widely encountered in nature and technological processes. Water movement in geothermal reservoirs, underground spreading of chemical wastes and other pollutants, thermal insulation, and solidification are just a few examples where the thermal natural convection or the combined thermosolutal natural convection in porous media are observed. This work describes a numerical study of double-diffusive natural convection in a square cavity filled with a porous medium. The flow is driven by a combined buoyancy effect due to both temperature and concentration variations. Several different flow models for porous media, such as Darcy flow, Forchheimer`s extension, Brinkman`s extension, and the generalized flow are considered. The coupled equations are solved using a finite volume approach with a projection algorithm for the momentum equation. Non-Darcian effects are analyzed through investigating the average heat and mass transfer rates. This study consists of a global analysis of each model and the comparison between them when the Darcy number varies. This work also focuses on the influence of the Lewis number on the inertial and boundary effects. It is shown that the inertial and boundary effects have a profound effect on the double-diffusive convection.

Sponsoring Organization:
USDOE
OSTI ID:
500896
Journal Information:
Numerical Heat Transfer. Part A, Applications, Journal Name: Numerical Heat Transfer. Part A, Applications Journal Issue: 8 Vol. 31; ISSN NHAAES; ISSN 1040-7782
Country of Publication:
United States
Language:
English

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