Heat transfer in micro-channels, used as an efficient cooling method for electronic circuits, is revisited. Channel walls act as a fin conveying heat to the cooling fluid. The relatively low amount of fluid circulating and high micro-channel length-to-depth ratio will cause a significant temperature rise in the fluid between inlet and outlet. This will create a transverse temperature gradient normal to the prevailing temperature gradient in the channel walls. This 2D problem will be analytically solved for laminar incompressible flow with constant physical properties in order to get an accurate estimation of the fin efficiency subject to a 2D field of temperature difference.

1.
Tuckerman
,
D.B.
, and
Pease
,
R.F.W.
,
1981
, “
High performance heat sinkning for VLSI
,”
IEEE Trans Electron Device Letters
,
EDL-2
, No
5
, pp.
126
129
.
2.
Duncan
,
A.B.
, and
Peterson
,
G.P.
,
1994
, “
Review of microscale heat transfer
,”
Appl. Mech. Rev.
,
47
, No
9
, pp.
397
428
.
3.
Pfahler, J., Harley, J., Bau, H.H., and Zemel, J., 1990, “Liquid and gas transport in small channels,” ASME-DSC, Vol. 19, pp. 149–157.
4.
Wang
,
B.X.
, and
Peng
,
X.F.
,
1994
, “
Experimental investigation on liquid forced convection heat transfer through microchannels
,”
Int. J. Heat Mass Transf.
,
37
, Suppl. 1, pp.
73
82
.
5.
Mala
,
G.M.
,
Li
,
D.
, and
Dale
,
J.D.
,
1997
, “
Heat transfer and fluid flow in microchannels
,”
Int. J. Heat Mass Transf.
,
40
, No.
11
, pp.
3079
3088
.
6.
Tso
,
C.P.
, and
Mahulikar
,
S.P.
,
1998
, “
The use of the Brinkman number for single phase forced convective heat transfer in microchannels
,”
Int. J. Heat Mass Transf.
,
41
, No.
12
, pp.
1759
1769
.
7.
Sabry
,
M.N.
,
2000
, “
Scale effects on fluid flow and heat transfer in micro-channels
,”
IEEE Trans. Components Packaging Technologies
,
23
, No
3
, pp.
562
567
.
8.
Morega
,
M.
, and
Bejan
,
A.
,
1994
, “
Plate fins with variable thickness and height for air cooled electronic modules
,”
Int. J. Heat Mass Transf.
,
37
, Suppl 1, pp.
433
445
.
9.
Weisburg
,
A.
,
Bau
,
H.
, and
Zemel
,
J.N.
,
1992
, “
Analysis of microchannels for integrated cooling
,”
Int. J. Heat Mass Transf.
,
35
, No.
10
, pp.
2465
2474
.
10.
Knight
,
R.W.
,
Hall
,
D.J.
,
Goodling
,
J.S.
, and
Jaeger
,
R.C.
,
1992
, “
Heat sink optimization with application to microchannels
,”
IEEE Trans. Compon., Hybrids, Manuf. Technol.
,
15
, No.
5
, pp.
832
842
.
11.
Incropera, F., and DeWitt, D., 1996, Fundamentals of heat and mass transfer, Wiley, New York, Toronto, Singapore, pp. 886.
12.
Lee
,
S.
,
1995
, “
Optimum design and selection of heat sinks
,”
IEEE Trans. Compon., Packag. Manuf. Technol., Part A
18
, No.
4
, pp.
812
817
.
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