Experimental results of the thermal and hydraulic performances of silicon-based, low aspect ratio micropin-fin cold plates under cross flow conditions are reported. The pins were both circular and square in shape with dimensions (diameter for circular and sides for square) ranging from 50μm to 150μm⁠. The test chip contained 20 integral 75×75μm temperature sensors which were used to determine the thermal resistance (KW−1) of the cold plates. The experiments were conducted using water, over a Reynolds number (Re) ranging from 40 to 1000. The data show that the average Nusselt number (Nu) based on the fin diameter varies as Re0.84 for Re<100 and as Re0.73 for Re>100⁠, where Re is the Reynolds number based on maximum velocity and the fin diameter. Analysis of the Fanning friction factor (f) data shows that f varies as Re−1.35 for Re<100 and as Re−0.1 for Re>100⁠.

Issue Section:
Micro/Nanoscale Heat Transfer
Keywords:
friction, hydraulic systems, plates (structures), temperature sensors, thermal resistance, laminar flow, flow visualisation, micropin fin, microscale heat exchanger, micropost, microchannel
Topics:
Cross-flow, Fins, Fluids, Friction, Pins (Engineering), Plates (structures), Thermal resistance, Water, Flow (Dynamics), Temperature sensors, Reynolds number, Dimensions, Silicon, Pressure drop
1.
Tuckerman
,
D. B.
, and
Pease
,
R. F. W.
, 1981, “
High-Performance Heat Sinking for VLSI
,”
IEEE Electron Device Lett.
0741-3106,
2
(
5
), pp.
126
–
129
.
Crossref
Search ADS
 
2.
Tuckerman
,
D. B.
, and
Pease
,
R. F. W.
, 1981, “
Ultrahigh Thermal Conductance Microstructures for Cooling Integrated Circuits
,”
Proceedings 32nd Electronics Components Conference
,
San Diego
, CA, May 10–12,
IEEE
, pp.
145
–
149
.
3.
Tuckerman
,
D. B.
, 1984, “
Heat Transfer Microstructures for Integrated Circuits
,” Ph.D. thesis, Stanford University, Palo Alto, CA.
4.
Colgan
,
E. G.
,
Furman
,
B.
,
Gaynes
,
M.
,
Graham
,
W.
,
LaBianca
,
N.
,
Polastre
,
R. J.
,
Rothwell
,
M. B.
,
Bezama
,
R. J.
,
Choudhary
,
R.
,
Marston
,
K.
,
Toy
,
H.
,
Wakil
,
J.
,
Zitz
,
J.
, and
Schimdt
,
R.
, 2005, “
A Practical Implementation of Silicon Microchannel Coolers For High Power Chips
,”
21st IEEE SEMI-THERM Symposium
,
San Jose
, CA, March
15
–
17
,
IEEE
.
5.
Chang
,
J-Y.
,
Prasher
,
R.
,
Chau
,
D.
,
Myers
,
A.
,
Dirner
,
J.
,
Prstic
,
S.
, and
He
,
D.
, 2005, “
Convective Performance of Package Based Single Phase Microchannel Heat Exchanger
,”
Proc. of InterPack 2005
,
San Francisco
, CA, July 17–22, ASME.
6.
Watwe
,
A.
, and
Viswanath
,
R.
, 2003, “
Thermal Implications of Non-Uniform Die Power and CPU Performance
,”
Proceedings of 2003 International Electronic Packaging Technical Conference and Expositions
, Paper No. Interpack 2003-35044,
Maui
, Hawaii, July 6–11, ASME.
7.
Hassan
,
I.
,
Phutthavong
,
P.
, and
Abdelgawad
,
M.
, 2004, “
Microchannel Heat Sinks: An Overview of The State-of-the-art
,”
Microscale Thermophys. Eng.
1089-3954,
8
, pp.
183
–
205
.
Crossref
Search ADS
 
8.
Morini
,
G. L.
, 2004, “
Single-Phase Convective Heat Transfer in Microchannels: A Review of Experimental Results
,”
Int. J. Therm. Sci.
1290-0729,
43
, pp.
631
–
651
.
Crossref
Search ADS
 
9.
Sobhan
,
C. B.
, and
Garimella
,
S. V.
, 2001, “
A Comparative Analysis of Studies on Heat Transfer and Fluid Flow in Microchannels
,”
Microscale Thermophys. Eng.
1089-3954,
5
, pp.
293
–
311
.
Crossref
Search ADS
 
10.
Peles
,
Y.
,
Kosar
,
A.
,
Mishra
,
C.
,
Kuo
,
C-J.
, and
Schneider
,
B.
, 2005, “
Forced Convective Heat Transfer Across a Pin Fin Micro Heat Sink
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
3615
–
3627
.
Crossref
Search ADS
 
11.
Kosar
,
A.
,
Mishra
,
C.
, and
Peles
,
Y.
, 2005, “
Laminar Flow Across a Bank of Low Aspect Ratio Mico Pin Fins
,”
J. Fluids Eng.
0098-2202,
127
, pp.
419
–
430
.
Crossref
Search ADS
 
12.
Stephens
,
L. S.
,
Kelly
,
K. W.
,
Kountouris
,
D.
, and
McLean
,
J.
, 2001, “
A Pin Fin Micro Heat Sink for Cooling Macroscale Conformal Surfaces Under the Influence of Thrust and Frictional Forces
,”
J. Microelectromech. Syst.
1057-7157,
10
(
2
), pp.
222
–
231
.
Crossref
Search ADS
 
13.
Marques
,
C.
, and
Kelly
,
K. W.
, 2004, “
Fabrication and Performance of a Pin Fin Micro Heat Exchanger
,”
J. Heat Transfer
0022-1481,
126
, pp.
434
–
444
.
Crossref
Search ADS
 
14.
Tummala
,
R. R.
, 2001,
Fundamentals of Microsystems Packaging
,
McGraw-Hill
, New York.
15.
Verove
,
C.
,
Descouts
,
B.
,
Gayet
,
P.
,
Guillermet
,
M.
,
Sabouret
,
E.
,
Spinelli
,
E.
, and
Van der Vegt
,
E.
, 2000, “
Dual Damascene Architectures Evaluation for the 0.18μm Technology and Below
,”
Interconnect Technology Conference, Proceedings of the IEEE 2000 International
,
San Diego
, CA, June 5–7, pp.
267
–
269
, IEEE.
16.
He
,
D.
,
Srinivasan
,
S.
,
Agraharam
,
S.
,
Chandran
,
B.
,
Mello
,
M.
,
Sinha
,
P.
, and
Atluri
,
V.
 2004, “
Test Vehicle to Characterize Silicon to Organic Flip Chip Package Thermomechanical Interactions
,”
54th International Electronic and Component Technology Conference
,
Las Vegas
, June 1–4,
IEEE
, pp.
712
–
717
.
17.
Chang
,
J-Y.
,
Prasher
,
R.
,
Chau
,
D.
,
Myers
,
A.
,
Dirner
,
J.
,
Prstic
,
S.
, and
He
,
D.
, 2005, “
Convective Performance of Package-Based Microchannel Heat Exchanger
,”
Proceedings of InterPack 2005
, Paper no. IPACK2005-73126, San Francisco, July 17–22, ASME.
18.
Qu
,
W.
, and
Mudawar
,
I.
, 2003, “
Measurement and Prediction of Pressure Drop in Two-phase Micro-channel Heat Sinks
,”
Int. J. Heat Mass Transfer
0017-9310,
46
, pp.
2737
–
2753
.
Crossref
Search ADS
 
19.
Holman
,
J. P.
, 1989,
Heat Transfer
,
McGraw-Hill
, New York.
20.
Kim
,
S. Y.
,
Kim
,
N. H.
,
Young
,
B.
, and
Webb
,
R. L.
, 1999, “
Air Side Heat Transfer and Friction Correlations for Plain Fin and Tube Heat Exchangers With Staggered Tube Arrangements
,”
J. Heat Transfer
0022-1481,
121
, pp.
662
–
667
.
Crossref
Search ADS
 
21.
Incropera
,
F. P.
, and
De Witt
,
D. P.
, 1990,
Fundamentals of Heat and Mass Transfer
,
Wiley
, New York.
22.
Armstrong
,
J.
, and
Winstanley
,
D.
, 1988, “
A Review of Staggered Array Pin Fin Heat Transfer for Turbine Cooling Applications
,”
J. Turbomach.
0889-504X,
110
, pp.
94
–
103
.
Crossref
Search ADS
 
23.
Damerow
,
W. P.
,
Murtaugh
,
J. C.
, and
Burgraf
,
F.
, 1972, “
Experimental and Analytical Investigation of the Coolant Flow Characteristics in Cooled Turbine Airfoils
,” NASA CR-12088.
24.
Zukauskas
,
A.
, 1987, “
Convective Heat Transfer in Cross flow
,”
Handbook of Single-phase Convective Heat Transfer
,
Wiley-Interscience
, New York.
25.
Short
,
B. E.
,
Raad
,
P. E.
, and
Price
,
D. C.
, 2002, “
Performance of Pin Fin Cast Aluminum Coldwalls. Part 1: Friction Factor Correlations
,”
J. Thermophys. Heat Transfer
0887-8722,
16
, pp.
389
–
396
.
Crossref
Search ADS
 
26.
VanFossen
,
G. J.
, 1982, “
Heat-Transfer Coefficients for Staggered Arrays of Short Pin Fins
,”
ASME J. Eng. Power
0022-0825,
104
, pp.
268
–
274
.
Crossref
Search ADS
 
27.
Moores
,
K. A.
, and
Joshi
,
Y. K.
, 2003, “
Effect of Tip Clearance on the Thermal and Hydraulic Performance of a Shrouded Pin Fin Array
,”
J. Heat Transfer
0022-1481,
125
, pp.
999
–
1006
.
Crossref
Search ADS
 
28.
Chyu
,
M. K.
, and
Natarajan
,
V.
, 1996, “
Heat Transfer on the Base Surface of Three-dimensional Protruding Elements
,”
Int. J. Heat Mass Transfer
0017-9310,
39
, pp.
2925
–
2935
.
Crossref
Search ADS
 
29.
Bejan
,
A.
, 1993,
Heat Transfer
,
Wiley
, New York.
30.
Khan
,
W. A.
,
Culham
,
J. R.
, and
Yovanovich
,
M. M.
, 2004, “
Optimization of Pin Fin Heat Sinks Using Entropy Generation Minimization
,”
Ninth Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems
, Las Vegas, NV, June 1–4, IEEE.
31.
Khan
,
W. A.
, 2004, “
Modeling of Fluid Flow and Heat Transfer for Optimization of Pin-Fin Heat Sinks
,” Ph.D. thesis, University of Waterloo, Waterloo, Canada.
32.
Zukauskas
,
A.
, 1972, “
Heat Transfer From Tubes in Cross flow
,”
Discrete Contin. Dyn. Syst.
1078-0947,
8
, pp.
93
–
160
.
33.
Zukauskas
,
A.
, and
Ulinskas
,
R.
, 1988,
Heat Transfer in Tube Banks in Cross Flow
,
Hemisphere
, Washington, DC.
34.
Metzger
,
D. E.
,
Shepard
,
W. B.
, and
Haley
,
S. W.
, 1986, “
Row Resolved Heat Transfer Variations in Pin-fin Arrays Including Effects of Non-uniform Arrays and Flow Convergence
,”
Proc. of International Gas Turbine Conference and Exhibit
, Dusseldorf, Germany, June 8–12, ASME.
35.
Moon
,
S. W.
, and
Lau
,
S. C.
, 2003, “
Heat Transfer Between Blockages With Holes in a Rectangular Channel
,”
J. Heat Transfer
0022-1481,
125
, pp.
587
–
594
.
Crossref
Search ADS
 
36.
Bejan
,
A.
, 2004,
Convection Heat Transfer
,
Wiley
, Hoboken.
37.
Shah
,
R. K.
, and
London
,
A. L.
, 1978,
Laminar Flow Forced Convection in Ducts
, Supplement 1 to Advances in Heat Transfer,
Academic
, New York.
38.
Kline
,
S. J.
, and
McClintock
,
F. A.
, 1953, “
Describing Uncertainties in Single Sample Experiments
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
0025-6501
75
, pp.
3
–
8
.
39.
Short
,
B. E.
,
Raad
,
P. E.
, and
Price
,
D. C.
, 2002, “
Performance of Pin Fin Cast Aluminum Coldwalls. Part 2: Cilburn j-Factor Correlations
,”
J. Thermophys. Heat Transfer
0887-8722,
16
, pp.
397
–
403
.
Crossref
Search ADS
 
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