Non-Darcian effects in open-ended cavities filled with a porous medium

Journal Article · Thu Aug 01 00:00:00 EDT 1991 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.2910627· OSTI ID:5496886

Ettefagh, J; Vafai, K; Kim, S J ^[1]

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1. Ohio State Univ., Columbus (United States)

The importance and relevance of non-Darcian associated with the bouyancy driven convection in open-ended cavities filled with fluid-saturated porous medium is analyzed in this work. Several different flow models for porous media, such as Brinkman-extended Darcy, Forchheimer-extended Darcy, and generalized flow models, are considered. The significance of inertia and boundary effects, and their crucial influence on the prediction of buouancy-induced flow and heat transfer in open-ended cavities, are investigated. Analysis is made on the proper choice of parameters that can fully determine the criteria for the range of validity of Darcy's law in this type of configuration. Critical values of the inertial parameter, {Lambda}{sub crit}, below which, for any given modified Rayleigh number, the Darcy flow model breaks down, have been investigated. Is is shown that the critical value of the inertial parameter depends on the modified Rayleigh number and that this critical value increases as Ra* increases. It is also observed that for higher modified Rayleigh number, the deviation from a Darcian formulation appears at Darcy numbers greater than 1 {times} 10{sup {minus}4}. The Prandtl number effects on convective flow and heat transfer are shown to be quite significant for small values of Pr. The Prandtl number effects are reduced significantly for higher values of the Prandtl number.

• OSTI ID: 5496886
• Journal Information: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Vol. 113:3; ISSN 0022-1481
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CAVITIES
NATURAL CONVECTION
POROUS MATERIALS
FLOW MODELS
DARCY LAW
ENHANCED RECOVERY
GEOTHERMAL SYSTEMS
GROUND WATER
PRANDTL NUMBER
RADIOACTIVE WASTE STORAGE
THERMAL INSULATION
CONVECTION
ENERGY TRANSFER
HEAT TRANSFER
HYDROGEN COMPOUNDS
MANAGEMENT
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
OXYGEN COMPOUNDS
RADIOACTIVE WASTE MANAGEMENT
RECOVERY
STORAGE
WASTE MANAGEMENT
WASTE STORAGE
WATER
420400* - Engineering- Heat Transfer & Fluid Flow