This study analyses the macroscopic flow through a two dimensional porous medium model by numerical and experimental methods. The objective of this research is to develop an empirical model by which the pressure drop can be obtained. In order to construct the model, a series of blocks are used as an idealized pressure drop device, so that the pressure drop can be calculated. The range of porosities studied is between 28 and 75 per cent. It is found that the pressure drop is a combination of viscosity and inertial effects, the later being more important as the Reynolds number is increased. The empirical equation obtained in this investigation is compared with the Ergun equation.
Volume Subject Area:
Fluids Engineering
1.
Firdaouss
M.
Guermond
J. L
Le Que´re´
P.
Nonlinear corrections to Darcy’s law at low Reynolds numbers
. J. Fluid Mech.
, 1997
, 343
, 331
–350
.2.
Siegel
R.
Effect of flow oscillations on axial energy transport in a porous material
. Journal of Heat Transfer
, 1987
, 109
, 242
–244
.3.
Teng
H.
Zhao
T. S.
An extension of Darcy’s law to non-Stokes flow in porous media
. Chemical Engineering Science
, 2000
, 55
, 2727
–2735
.4.
Vafai
K.
Tien
C. L.
Boundary inertia effects on flow and heat transfer in porous media
. International Journal of Heat and Mass Transfer
, 1981
, 24
, 195
–203
.5.
Happel J. and Brenner H. Low Reynolds Number Hydrodynamics, with Special Applications to Particulate Media, Prentice Hall, Inc. Englewood Cliffs, N. J. 1965.
6.
FLUENT 5 User’s Guide, 1998.
7.
Fand
R. M.
Kim
B. Y.
Lam
A. C. C.
Phan
R. T.
Resistance of flow of fluids through simple and complex porous media whose matrices are composed of randomly packed spheres
. Trans. ASME, J. Fluids Engng.
, 1987
, 109
, 268
–274
8.
Kececioglu
I.
Jiang
Y.
Flow through porous media of packed spheres saturated with water
. Trans. ASME, J. Fluids Engng.
, 1994
, 116
, 164
–170
.9.
Firdaouss
M.
Guermond
J.
Le Que´re´
P.
Nonlinear corrections to Darcy’s law at low Reynolds numbers
. J. Fluid Mech.
, 1997
, 343
, 331
–350
.10.
Mei
C.
Auriault
J. L.
The effect of weak inertia on flow through a porous medium
. J. Fluid Mech.
, 1991
, 222
, 647
–663
.11.
Biswas
S.
Winoto
S. H.
Prediction of pressure drop in non-woven filter using a Hagen-Poiseuille Model
. Tribology Transactions
, 2000
, 43
, 251
–256
.12.
Carman
P. C.
Fluid flow through granular beds
. Trans. of Inst. Chem. Engineers
, 1937
, 15
, 150
–166
.13.
Ergun
S.
Fluid flow through packed columns
. Chemical Engineering Progress
, 1952
, 48
, 89
–4
.14.
Eisfeld
N.
Schnitzlein
K.
The influence of confining walls on the pressure drop in packed beds
. Chemical Engineering Science
, 2001
, 56
, 4321
–4329
.15.
Winterberg
M.
Tsotsas
E.
Impact of tube-to-particle diameter ratio on pressure drop in packed beds
. AIChE Journal
, 2000
, 46
, 1084
–1088
.16.
Fand
R. M.
Thinakaran
R.
The influence of the walls through pipes packed with spheres
. Trans. ASME J. Fluids Engng.
, 1990
, 112
, 84
–88
.17.
Calis
H. P. A.
Ninjenhuis
J.
Paikert
B. C.
Dautzenberg
F. M.
van den Bleek
C. M.
CFD modeling and experimental validation of pressure drop and flow profile in a novel structured catalytic reactor packing
. Chemical Engineering Science
, 2001
, 56
, 1713
–1720
.18.
Taylor J. R. An Introduction to Error Analysis. Oxford University Press. 1982.
19.
F. M. White. Fluid Mechanics, 1999. McGraw-Hill Editions.
20.
J. Bear. Dynamics of Fluids in Porous Media, 1972. Dover Publications Inc.
21.
Comiti
J.
Sabiri
N. E.
Montillet
A.
Experimental characterization of flow regimes in various porous media - III: limit of Darcy’s or creeping flow regime for Newtonian and purely viscous non-Newtonian fluids
. Chemical Engineering Science
, 2000
, 55
, 3057
–3061
.22.
Mauran
S.
Rigaud
L.
Coudevylle
O.
Application of the Carman-Kozeny Correlation to a high porosity and anisotropic consolidated medium: The compressed expanded natural graphite
. Transport in Porous Media
, 2001
, 43
, 335
–376
.23.
Brasquet
C.
Le Cloirec
P.
Pressure drop through textile fabrics - experimental data modelling using classical models and neural networks
. Chemical Engineering Science
, 2000
, 55
, 2767
–2778
.
This content is only available via PDF.
Copyright © 2005
by ASME
You do not currently have access to this content.