Motivated by its frequent appearance in practical applications, scientists and engineers have been putting much efforts to pursue the ability to predict fluid flow behavior in sphere packed bed, in particular the fluid-solid interaction therein. The network model has recently been used to predict the fluid flow behavior in a sphere packed bed for a smaller length-scale domain of interest. The major questions for this approach are the representation of the irregular void space as a three dimensional network and the assignment of the flow resistance values. The application of Deluanay Cell to discretize the void space helps retain the geometrical and topological information without any empirical data fitting in. However, the calculation of the flow resistance within the Delaunay cell is still a question to be solved due to its highly irregular topology. The objective of this study is to solve for the flow resistance between the pores in a simple cubic retaining all the geometrical information. And then to correlate the flow resistance with different values of Reynolds number such that the application of network model could extend outside the creeping flow regime. The results has been validated against experimental correlation and then correlated with Reynolds number with a correlation factor larger than 0.9.

1.
Loperz
X.
,
Valvatne
P. H.
, and
Blunt
M. J.
,
2003
, “
Predictive Network Modeling of Single-Phase non-Newtonian Flow in Porous Media
,”
Journal of Colloid and Interface Science
,
264
, pp.
256
265
.
2.
Bhattacharya
A.
, and
Mahajan
R. L.
,
2002
, “
Finned Metal Foam Heat Sinks for Electronics Cooling in Forced Convection
,”
Journal of Electronic Packaging
,
124
, pp.
155
163
3.
Romkes
S. J. P.
,
Dautzenberg
F. M.
,
van den Bleek
C. M.
, and
Calis
H. P. A.
,
2003
, “
CFD Modelling and Experimental Validation of Particle-to-Fluid Mass and Heat Transfer in a packed bed at very Low Channel to Particle Diameter Ratio
,”
Chemical Engineering Journal
,
96
, pp.
3
13
.
4.
Kaviany, M., 1995, Principles of Heat Transfer in Porous Media, Springer-Verlag, New York.
5.
Dullien, F.A.L., 1992, Porous Media: Fluid Transport and Pore Structure, Academic Press, London.
6.
Bryant
S. L.
,
King
P. R.
, and
Mellor
D. W.
,
1993
, “
Network Model Evaluation of Permeability and Spatial Correlation in a Real Random Sphere Packing
,”
Transport in Porous Media
,
11
, pp.
53
70
.
7.
Thompson
K. E.
, and
Fogler
H. S.
,
1997
, “
Modeling Flow in Disordered Packed Beds from Pore-scale Fluid Mechanics
,”
AIChE
,
43
, pp.
1377
1389
.
8.
Achenbach
E.
,
1995
, “
Heat and Flow Characteristics of Packed Beds
,”
Experimental Thermal and Fluid Science
,
10
, pp.
17
27
.
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