A numerical model is developed for high Reynolds number forced convection heat transfer in a channel filled with randomly oriented, thin fibrous materials of high porosity. A localized isothermal heat source, flush with one of the channel walls is considered to simulate an electronic component. The inertial coefficient and the dispersion conductivity associated with high Reynolds number flows and convective heat transfer are empirically modeled from existing experimental and analytical studies. The resulting fluid flow and heat transfer relationships are presented for a relevant range of parameters, and the fundamental physical processes are explained.

Issue Section:
Technical Papers
Topics:
Forced convection, Heat, Reynolds number, Computer simulation, Convection, Electronic components, Flow (Dynamics), Fluid dynamics, Heat transfer, Porosity, Thermal conductivity
1.
Amiri
 
A.
, and
Vafai
 
K.
,
1994
, “
Analysis of Dispersion Effects and Nonthermal Equilibrium, Non-Darcian, Variable Porosity Incompressible Flow Through Porous Media
,”
Int. J. Heat Mass Transfer
, Vol.
37
, pp.
939
–
954
.
2.
Amiri
 
A.
,
Vafai
 
K.
, and
Kuzay
 
T. M.
,
1995
, “
Effects of Boundary Conditions on Non-Darcian Heat Transfer Through Porous Media and Experimental Comparisons
,”
Numerical Heat Transfer Part A
, Vol.
27
, pp.
651
–
664
.
3.
Anderson, D. A., Tannehill, J. C., and Pletcher, R. H., 1984, Computational Fluid Mechanics and Heat Transfer, Taylor & Francis, London, United Kingdom.
4.
Beavers
 
G. S.
, and
Sparrow
 
E. M.
,
1969
, “
Non-Darcy Flow Through Fibrous Porous Media
,”
ASME Journal of Applied Mechanics
, Vol.
36
, pp.
711
–
714
.
5.
Huang
 
P. C.
, and
Vafai
 
K.
,
1994
, “
Analysis of Flow and Heat Transfer Over an External Boundary Covered With a Porous Substrate
,”
ASME Journal of Heat Transfer
, Vol.
116
, pp.
768
–
771
.
6.
Jang
 
J. Y.
, and
Chen
 
J. L.
,
1992
, “
Forced Convection in a Parallel Plate Channel Partially Filled With a High Porosity Medium
,”
Int. Comm. Heat Mass Transfer
, Vol.
19
, pp.
263
–
273
.
7.
Koch
 
D. L.
, and
Brady
 
J. L.
,
1986
, “
The Effective Diffusivity of Fibrous Media
,”
A.I.Ch.E.J.
, Vol.
32
, pp.
575
–
591
.
8.
Koh
 
J. C. Y.
, and
Colony
 
R.
,
1974
, “
Analysis of Cooling Effectiveness for Porous Materials in a Coolant Passage
,”
ASME Journal of Heat Transfer
, Vol.
96
, pp.
324
–
330
.
9.
Koh
 
J. C. Y.
, and
Stevens
 
R. L.
,
1975
, “
Enhancement of Cooling Effectiveness by Porous Materials in Coolant Passage
,”
ASME Journal of Heat Transfer
, Vol.
97
, pp.
309
–
311
.
10.
Poulikakos
 
D.
, and
Renken
 
K.
,
1987
, “
Forced Convection in a Channel Filled With Porous Medium, Including the Effects of Flow Inertia, Variable Porosity, and Brinkman Friction
,”
ASME Journal of Heat Transfer
, Vol.
109
, pp.
880
–
888
.
11.
Renken
 
K. J.
, and
Poulikakos
 
D.
,
1988
, “
Experiment and Analysis of Forced Convection Heat Transport in a Packed Bed of Spheres
,”
Int. J. Heat Mass Transfer
, Vol.
31
, pp.
1399
–
1408
.
12.
Roache, P. J., 1982, Computational Fluid Dynamics, revised ed., Hermosa, Albuquerque, NM.
13.
Slattery, J. C., 1972, Momentum, Energy and Mass Transfer in Continua, McGraw-Hill, New York.
14.
Spielman
 
L.
, and
Goren
 
S. L.
,
1968
, “
Model for Predicting Pressure Drop and Filtration Efficiency in Fibrous Media
,”
Environ. Sci. Tech.
, Vol.
2
, pp.
279
–
287
.
15.
Sung
 
H. J.
,
Kim
 
S. Y.
, and
Hyun
 
J. M.
,
1995
, “
Forced Convection From an Isolated Heat Source in a Channel With Porous Medium
,”
Int. J. Heat and Fluid Flow
, Vol.
16
, pp.
527
–
535
.
16.
Tien
 
C. L.
, and
Vafai
 
K.
,
1979
, “
Statistical Bounds for the Effective Thermal Conductivity of Microsphere and Fibrous Insulation
,”
Prog. Astronaut. Aeronaut. Sci.
, Vol.
65
, pp.
135
–
148
.
17.
Vafai
 
K.
, and
Huang
 
P. C.
,
1994
, “
Analysis of Heat Transfer Regulation and Modification Employing Intermittently Emplaced Porous Cavities
,”
ASME Journal of Heat Transfer
, Vol.
116
, pp.
604
–
613
.
18.
Vafai
 
K.
, and
Kim
 
S. J.
,
1989
, “
Forced Convection in a Channel Filled With a Porous Medium: An Exact Solution
,”
ASME Journal of Heat Transfer
, Vol.
111
, pp.
1103
–
1106
.
19.
Vafai
 
K.
, and
Kim
 
S.-J.
,
1990
, “
Analysis of Surface Enhancement by a Porous Substrate
,”
ASME Journal of Heat Transfer
, Vol.
112
, pp.
700
–
706
.
20.
Vafai
 
K.
, and
Thiyagaraja
 
R.
,
1987
, “
Analysis of Flow and Heat Transfer at the Interface Region of a Porous Medium
,”
Int. J. Heat Mass Transfer
, Vol.
30
, pp.
1391
–
1405
.
This content is only available via PDF.
Copyright © 1999
 by The American Society of Mechanical Engineers
You do not currently have access to this content.