A microchannel heat sink with convergent-divergent (CD) shape and bifurcation is presented, and flow and heat transfer characteristics are analyzed for Re ranging from 120 to 900. The three-dimensional governing equations for the conjugate heat transfer with temperature-dependent solid and fluid properties are solved using the finite volume method. Comparisons are carried out for four cases, namely, rectangular shape with and without bifurcation and CD shape with and without bifurcation. The pressure drop, flow structure, and average Nusselt number are analyzed in detail, and the thermal resistance and overall performance are compared. It is shown that the CD shape with bifurcation has more uniform and lower temperature at the bottom wall and better heat transfer performance compared to other geometries. The heat transfer augmentation in the CD shaped microchannel with bifurcation can be attributed not only to the accelerated and redirected flow toward the constant cross section segment but also to periodically interrupted and redeveloped thermal boundary-layers due to bifurcation. It is also shown that increasing Re leads to thinning of thermal boundary-layers resulting in an enhanced heat transfer in terms of an increased average Nusselt number from 38% to 74%. However, there is an increased pressure drop due to channel shape and obstacle in fluid flow. Further, due to a high pressure drop penalty at high Re, CD shaped microchannel with bifurcation loses its heat transfer effectiveness.

References

1.
Tuckerman
,
D. B.
, and
Pease
,
R. F. W.
,
1981
, “
High-Performance Heat Sinking for VLSI
,”
IEEE Electron. Device Lett.
,
2
(
5
), pp.
126
129
.
2.
Liu
,
D.
, and
Garimella
,
S. V.
,
2004
, “
Investigation of Liquid Flow in Micro Channels
,”
AIAA J. Thermophys. Heat Transfer
,
18
(
1
), pp.
65
72
.
3.
Qu
,
W.
, and
Mudawar
,
I.
,
2002
, “
Analysis of Three Dimensional Heat Transfer in Micro-Channel Heat Sink
,”
Int. J. Heat Mass Transfer
,
45
(
19
), pp.
3973
3985
.
4.
Fedorov
,
A. G.
, and
Viskanta
,
R.
,
2000
, “
Three-Dimensional Conjugate Heat Transfer in the Microchannel Heat Sink for Electronic Packaging
,”
Int. J. Heat Mass Transfer
,
43
(
3
), pp.
399
415
.
5.
Kawano
,
M. I. K.
,
Minakami
,
K.
, and
Iwasaki
,
H.
, 2001, “
Development of Micro Channels Heat Exchanging
,”
JSME Int. J. Series-B
,
44
(
4
), pp. 592–598.
6.
Wang
,
B. X.
, and
Peng
,
X. F.
,
1994
, “
Experimental Investigation on Liquid Forced Convection Heat Transfer Through Microchannels
,”
Int. J. Heat Mass Transfer
,
37
(
Suppl. 1
), pp.
73
82
.
7.
Wang
,
B. X.
, and
Peng
,
X. F.
,
1995
, “
The Effect of Thermo Fluid and Geometrical Parameters on Convection of Liquids Through Rectangular Microchannels
,”
Int. J. Heat Mass Transfer
,
38
(
4
), pp.
755
758
.
8.
Peng
,
X. F.
, and
Peterson
,
G. P.
,
1996
, “
Convective Heat Transfer and Flow Friction for Water Flow in Microchannel Structures
,”
Int. J. Heat Mass Transfer
,
39
(
12
), pp.
2599
2608
.
9.
Li
,
J.
,
Peterson
,
G. P.
, and
Cheng
,
P.
,
2004
, “
Three-Dimensional Analysis of Heat Transfer in a Micro-Heat Sinks With Single Phase Flow
,”
Int. J. Heat Mass Transfer
,
47
(
19–20
), pp.
4215
4231
.
10.
Zhuo
,
L.
,
Tao
,
W.-Q.
, and
He
,
Y.-L.
,
2006
, “
A Numerical Study of Laminar Convective Heat Transfer in Microchannel With Non-Circular Cross-Section
,”
Int. J. Therm. Sci.
,
45
(
12
), pp.
1140
1148
.
11.
Dewan
,
A.
,
2011
,
Tackling Turbulent Flow in Engineering
,
Springer
,
Berlin
.
12.
Sui
,
Y.
,
Teo
,
C. J.
,
Lee
,
P. S.
,
Chew
,
Y. T.
, and
Shu
,
C.
,
2010
, “
Fluid Flow and Heat Transfer in Wavy Microchannels
,”
Int. J. Heat Mass Transfer
,
53
(
13–14
), pp.
2760
2772
.
13.
Mohammed
,
H. A.
,
Gunnasegaran
,
P.
, and
Shuaib
,
N. H.
,
2011
, “
Influence of Channel Shape on the Thermal and Hydraulic Performance of Microchannel Heat Sink
,”
Int. Commun. Heat Mass Transfer
,
38
(
4
), pp.
474
480
.
14.
Duryodhan
,
V. S.
,
Singh
,
A.
,
Singh
,
S. G.
, and
Agrawal
,
A.
,
2015
, “
Convective Heat Transfer in Diverging and Converging Microchannels
,”
Int. J. Heat Mass Transfer
,
80
, pp.
424
438
.
15.
Dehghan
,
M.
,
Daneshipour
,
M.
,
Valipour
,
M. S.
,
Rafee
,
R.
, and
Saedodin
,
S.
,
2015
, “
Enhancing Heat Transfer in Microchannel Heat Sinks Using Converging Flow Passages
,”
Energy Convers. Manage.
,
92
, pp. 244–250.
16.
Dewan
,
A.
, and
Kamal
,
H.
,
2017
, “
Analysis of Interrupted Rectangular Microchannel Heat Sink With High Aspect Ratio
,”
J. Appl. Fluid Mech.
,
10
(
1
), pp.
117
126
.
17.
Xia
,
G.
,
Chai
,
L.
,
Wang
,
H.
,
Zhou
,
M.
, and
Cui
,
Z.
,
2011
, “
Optimum Thermal Design of Microchannel Heat Sink With Triangular Re-Entrant Cavities
,”
Appl. Therm. Eng.
,
31
(
6–7
), pp.
1208
1219
.
18.
Xia
,
G.
,
Chai
,
L.
,
Zhou
,
M.
, and
Wang
,
H.
,
2011
, “
Effects of Structural Parameters on Fluid Flow and Heat Transfer in a Microchannel With Aligned Fan-Shaped Reentrant Cavities
,”
Int. J. Therm. Sci.
,
50
(
3
), pp.
411
419
.
19.
Xia
,
G.
,
Zhai
,
Y.
, and
Cui
,
Z.
,
2013
, “
Numerical Investigation of Thermal Enhancement in a Micro Heat Sink With Fan-Shaped Reentrant Cavities and Internal Ribs
,”
Appl. Therm. Eng.
,
58
(
1–2
), pp.
52
60
.
20.
Li
,
Y. F.
,
Xia
,
G.
,
Ma
,
D. D.
,
Jia
,
Y. T.
, and
Wang
,
J.
,
2016
, “
Characteristics of Laminar Flow and Heat Transfer in Microchannel Heat Sink With Triangular Cavities and Rectangular Ribs
,”
Int. J. Heat Mass Transfer
,
98
, pp.
17
28
.
21.
Chai
,
L.
,
Xia
,
G.
, and
Wang
,
H. S.
,
2016
, “
Parametric Study on Thermal and Hydraulic Characteristics of Laminar Flow in Microchannel Heat Sink With Fan-Shaped Ribs on Sidewall—Part 1: Heat Transfer
,”
Int. J. Heat Mass Transfer
,
97
, pp. 1069–1080.
22.
Chai
,
L.
,
Xia
,
G.
, and
Wang
,
H. S.
,
2016
, “
Numerical Study of Laminar Flow and Heat Transfer in Microchannel Heat Sink With Offset Ribs on Sidewall
,”
Appl. Therm. Eng.
,
92
, pp.
32
41
.
23.
Dewan
,
A.
, and
Srivastava
,
P.
,
2015
, “
A Review of Heat Transfer Enhancement Through Flow Disruption in a Microchannel
,”
J. Therm. Sci.
,
24
(
3
), pp.
203
214
.
24.
Xie
,
G.
,
Chen
,
Z.
,
Sunden
,
B.
, and
Zhang
,
W.
,
2013
, “
Numerical Analysis of Flow and Thermal Performance of Liquid Cooling Microchannel Heat Sinks With Bifurcation
,”
Numer. Heat Transfer, Part A
,
64
(
11
), pp.
902
919
.
25.
Zhang
,
R.
,
Chen
,
Z.
,
Xie
,
G.
,
Sundén
,
B.
,
Zhang
,
W.
, and
Li
,
H.
,
2015
, “
A Numerical Analysis of Constructal Water-Cooled Microchannel Heat Sinks With Multiple Bifurcation in the Entrance Region
,”
Numer. Heat Transfer, Part A
,
67
(
6
), pp.
632
650
.
26.
Xie
,
G.
,
Zhang
,
F.
,
Sundén
,
B.
, and
Zhang
,
W.
,
2014
, “
Constructal Design and Thermal Analysis of Microchannel Heat Sinks With Multistage Bifurcations in Single-Phase Liquid Flow
,”
Appl. Therm. Eng.
,
62
(
2
), pp.
791
802
.
27.
Xie
,
G.
,
Li
,
S.
,
Sundén
,
B.
,
Zhang
,
W.
, and
Li
,
H.
,
2014
, “
A Numerical Study of the Thermal Performance of Microchannel Heat Sinks With Multiple Length Bifurcation in Laminar Liquid Flow
,”
Numer. Heat Transfer, Part A
,
65
(
2
), pp.
107
126
.
28.
Li
,
Y.
,
Zhang
,
F.
,
Sunden
,
B.
, and
Xie
,
G.
,
2014
, “
Laminar Thermal Performance of Microchannel Heat Sinks With Constructal Vertical Y-Shaped Bifurcation Plates
,”
Appl. Therm. Eng.
,
73
(
1
), pp.
185
195
.
29.
Zhang
,
C.-P.
,
Lian
,
Y.-F.
,
Hsu
,
C.-H.
,
Teng
,
J.
,
Liu
,
S.
,
Chang
,
Y.-J.
, and
Greif
,
R.
,
2015
, “
Investigations of Thermal and Flow Behavior of Bifurcations and Bends in Fractal-Like Microchannel Networks: Secondary Flow and Recirculation Flow
,”
Int. J. Heat Mass Transfer
,
85
, pp.
723
731
.
30.
Maranzana
,
G.
,
Perry
,
I.
, and
Maillet
,
D.
,
2004
, “
Mini and Micro Channels: Influence of Axial Conduction in the Walls
,”
Int. J. Heat Mass Transfer
,
47
(
17–18
), pp.
3993
3989
.
31.
Moharana
,
M. K.
, and
Khandekar
,
S.
,
2013
, “
Effect of Aspect Ratio of Rectangular Microchannels on the Axial Back Conduction in Its Solid Substrate
,”
Int. J. Microscale Nanoscale Therm. Fluid Transp. Phenom.
,
4
(
3/4
), pp.
211
229
.http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.724.6877&rep=rep1&type=pdf
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