Access the full text.
Sign up today, get DeepDyve free for 14 days.
Ramji Kamakoti, S. Thakur, J. Wright, W. Shyy (2006)
Validation of a New Parallel All-Speed CFD Code in a Rule-Based Framework for Multidisciplinary Applications
G. Beavers, D. Joseph (1967)
Boundary conditions at a naturally permeable wallJournal of Fluid Mechanics, 30
H. Brinkman (1949)
On the permeability of media consisting of closely packed porous particlesFlow Turbulence and Combustion, 1
J. Slattery (1976)
Momentum, Energy and Mass Transfer in Continua
F. Dullien (1979)
Porous Media: Fluid Transport and Pore Structure
P. Cheng, W. Minkowycz (1977)
Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dikeJournal of Geophysical Research, 82
J. Happel, H. Brenner (1965)
Low Reynolds number hydrodynamics
K. Vafai, C. Tien (1981)
Boundary and inertia effects on flow and heat transfer in porous mediaInternational Journal of Heat and Mass Transfer, 24
H. Brinkman (1949)
A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particlesFlow Turbulence and Combustion, 1
E. Sparrow, A. Loeffler (1959)
Longitudinal Laminar Flow Between Cylinders Arranged in Regular ArrayAiche Journal, 5
A. Amiri, K. Vafai (1994)
Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous mediaInternational Journal of Heat and Mass Transfer, 37
Jin Liu, W. Minkowycz, P. Cheng (1986)
Conjugated, mixed convection-conduction heat transfer along a cylindrical fin in a porous mediumInternational Journal of Heat and Mass Transfer, 29
I. Macdonald, M. El-Sayed, K. Mow, F. Dullien (1979)
Flow through Porous Media-the Ergun Equation RevisitedIndustrial & Engineering Chemistry Fundamentals, 18
J. Slattery (1969)
Single-phase flow through porous mediaAiche Journal, 15
P. Cheng (1977)
The influence of lateral mass flux on free convection boundary layers in a saturated porous mediumInternational Journal of Heat and Mass Transfer, 20
T. Lundgren (1972)
Slow flow through stationary random beds and suspensions of spheresJournal of Fluid Mechanics, 51
G. Sutton (2003)
History of liquid propellant rocket engines in the United StatesJournal of Propulsion and Power, 19
W. Shyy (1993)
Computational Modeling for Fluid Flow and Interfacial Transport (Dover Books on Engineering)
S. Whitaker (1969)
ADVANCES IN THEORY OF FLUID MOTION IN POROUS MEDIAIndustrial & Engineering Chemistry, 61
P. Cheng
Combined free and forced boundary layer flows about inclined surfaces in a porous medium
P. Forchheimer
Wasserbewegung durch Boden
Cheng Ping (1977)
Combined free and forced convection flow about inclined surfaces in porous mediaInternational Journal of Heat and Mass Transfer, 20
J. Ward (1964)
Turbulent Flow in Porous MediaJournal of Hydraulic Engineering, 90
H. Darcy
Les Fontaines Publiques de la ville de Dijon
A. Bejan, D. Poulikakos (1984)
The nondarcy regime for vertical boundary layer natural convection in a porous mediumInternational Journal of Heat and Mass Transfer, 27
D. Nield, A. Bejan (1992)
Convection in Porous Media
I. Nozad, R. Carbonell, S. Whitaker (1985)
Heat conduction in multiphase systems—I: Theory and experiment for two-phase systemsChemical Engineering Science, 40
P.C. Carman
The determination of the specific surface area of powder I
Landon Tully, A. Omar, J. Chung, B. Carroll, P. Tucker (2005)
Fluid Flow and Heat Transfer in a Liquid Rocket Fuel Injector
W. Gray (1975)
A derivation of the equations for multi-phase transportChemical Engineering Science, 30
J. Rubinstein (1986)
Effective equations for flow in random porous media with a large number of scalesJournal of Fluid Mechanics, 170
S. Whitaker (1996)
The Forchheimer equation: A theoretical developmentTransport in Porous Media, 25
M. Kaviany (1991)
Principles of heat transfer in porous media
S. Ergun (1952)
Fluid flow through packed columns, 48
Purpose – The purpose of this paper is to develop an empiricism free, first principle‐based model to simulate fluid flow and heat transfer through porous media. Design/methodology/approach – Conventional approaches to the problem are reviewed. A multi‐scale approach that makes use of the sample simulations at the individual pore levels is employed. The effect of porous structures on the global fluid flow is accounted for via local volume averaged governing equations, while the closure terms are accounted for via averaging flow characteristics around the pores. Findings – The performance of the model has been tested for an isothermal flow case. Good agreement with experimental data were achieved. Both the permeability and Ergun coefficient are shown to be flow properties as opposed to the empirical approach which typically results in constant values of these parameters independent of the flow conditions. Hence, the present multi‐scale approach is more versatile and can account for the possible changes in flow characteristics. Research limitations/implications – Further validation including non‐isothermal cases is necessary. Current scope of the model is limited to incompressible flows. The methodology can accommodate extension to compressible flows. Originality/value – This paper proposes a method that eliminates the dependence of the numerical porous media simulations on empirical data. Although the model increases the fidelity of the simulations, it is still computationally affordable due to the use of a multi‐scale methodology.
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Sep 19, 2008
Keywords: Flow; Fluid dynamics; Porous materials
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.