Three-dimensional conjugate heat transfer in a rectangular duct with two discrete flush-mounted heat sources has been studied numerically in the context of cooling of electronic equipments. The Grashof number is fixed as 106 and the working fluid is taken as air. The effects of the spatial arrangement of heat sources, the thermal conductivity ratio of the bottom plate material to air, and the Reynolds numbers on the overall and local heat transfer in the duct are evaluated. The magnitudes of the conduction and the convection transport are compared for different parametric combinations. Of particular interest are the transverse variation in the flow, temperature and heat transfer, the interaction between the heat sources, and the effects of conjugate transport.

1.
Wang
,
Q.
, and
Jaluria
,
Y.
,
2002
, “
Instability and Heat Transfer in Mixed Convection Flow in a Horizontal Duct With Discrete Heat Sources
,”
Numer. Heat Transfer
,
42
, pp.
445
463
.
2.
Nakayama
,
W.
,
1997
, “
Forced Convective/Conductive Conjugate Heat Transfer in Microelectronic Equipment
,”
Annu. Rev. Heat Transfer
,
8
, pp.
1
45
.
3.
Sugavanam
,
R.
,
Ortega
,
A.
, and
Choi
,
C. Y.
,
1995
, “
A Numerical Investigation of Conjugate Heat Transfer From a Flush Heat Source on a Conductive Board in Laminar Channel Flow
,”
Int. J. Heat Mass Transfer
,
38
, pp.
2969
2984
.
4.
Kim
,
S. Y.
,
Sung
,
H. J.
, and
Hyun
,
J. M.
,
1992
, “
Mixed Convection From Multiple-Layered Board With Cross-Streamwise Periodic Boundary Conditions
,”
Int. J. Heat Mass Transfer
,
35
(
11
), pp.
2941
2952
.
5.
Ramadhyani
,
S.
,
Moffatt
,
D. F.
, and
Incropera
,
F. P.
,
1985
, “
Conjugate Heat Transfer From Small Isothermal Heat Sources Embedded in a Large Substrate
,”
Int. J. Heat Mass Transfer
,
28
(
10
), pp.
1945
1952
.
6.
Nigen
,
J. S.
, and
Amon
,
C. H.
,
1994
, “
Time-Dependent Conjugate Heat Transfer Characteristics of Self-Sustained Oscillatory Flows in a Grooved Channel
,”
J. Fluids Eng.
,
116
, pp.
449
507
.
7.
Nicolas
,
X.
,
Luijkx
,
J. M.
, and
Platten
,
J. K.
,
2000
, “
Linear Stability of Mixed Convection Flows in Horizontal Rectangular Channels of Finite Transversal Extension Heated From Below
,”
Int. J. Heat Mass Transfer
,
43
, pp.
589
610
.
8.
Yu
,
C. H.
,
Chang
,
M. Y.
,
Huang
,
C. C.
, and
Lin
,
T. F.
,
1997
, “
Unsteady Vortex Rolls Structures in a Mixed Convection Air Flow Through a Horizontal Plane Channel: A Numerical Study
,”
Int. J. Heat Mass Transfer
,
40
, pp.
505
518
.
9.
Chang
,
M. Y.
,
Yu
,
C. H.
, and
Lin
,
T. F.
,
1997
, “
Flow Visualization and Numerical Simulation of Transverse and Mixed Vortex Roll Formation in Mixed Convection of Air in a Horizontal Flat Duct
,”
Int. J. Heat Mass Transfer
,
40
, pp.
1907
1922
.
10.
Lir
,
J. T.
,
Chang
,
M. Y.
, and
Lin
,
T. F.
,
2001
, “
Vortex Flow Patterns Near Critical State for Onset of Convection in Air Flow Through a Bottom Heated Horizontal Flat Duct
,”
Int. J. Heat Mass Transfer
,
44
, pp.
705
719
.
11.
Lin
,
W. L.
,
Ker
,
Y. T.
, and
Lin
,
T. F.
,
1996
, “
Experimental Observation and Conjugate Heat Transfer Analysis of Vortex Flow Development in Mixed Convection of Air in a Horizontal Rectangular Duct
,”
Int. J. Heat Mass Transfer
,
39
, pp.
3667
3683
.
12.
Choi
,
C. Y.
, and
Kim
,
S. J.
,
1996
, “
Conjugate Mixed Convection in a Channel: Modified Five Percent Deviation Rule
,”
Int. J. Heat Mass Transfer
,
39
, pp.
1223
1234
.
13.
Shah, R. K., and London, A. L., 1978, Laminar Flow Forced Convection in Ducts, Academic Press, Inc., New York, NY.
14.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
You do not currently have access to this content.