A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium

Journal Article · Tue Dec 31 23:00:00 EST 1985 · Numer. Heat Transfer; (United States)

DOI:https://doi.org/10.1080/10407798608552524· OSTI ID:6946412

Beckermann, C; Viskanta, R; Ramadhyani, S

A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium is performed. The flow is modeled using the Brinkman-Forchheimer-extended Darcy equations. The governing equations are solved with the SIMPLER algorithm and good agreement with previously reported numerical and experimental results is found. An order of magnitude analysis and the numerical results demonstrate the importance of non-Darcian effects. For high Darcy numbers (Da > 10/sup -4/), both extensions are of the same order of magnitude and must be used simultaneously. In addition, Forchheimer's extension must be included for Pr less than or equal to 1.0 and all Darcy numbers. Finally, Nuselt number correlations are presented for three different ranges of the Darcy number covering wide ranges of the governing parameters.

• Research Organization: Heat Transfer Lab., School of Mechanical Engineering, Purdue Univ., West Lafayette, IN 47907
• OSTI ID: 6946412
• Journal Information: Numer. Heat Transfer; (United States), Journal Name: Numer. Heat Transfer; (United States) Journal Issue: 6 Vol. 10:6; ISSN NUHTD
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ALGORITHMS
COMPUTER CODES
CONVECTION
DARCY LAW
ENERGY TRANSFER
FLOW MODELS
HEAT TRANSFER
MASS TRANSFER
MATERIALS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
NATURAL CONVECTION
NUSSELT NUMBER
POROUS MATERIALS
PRANDTL NUMBER
RESEARCH PROGRAMS
S CODES