The conjugate fluid flow and heat transfer characteristics of fractal-like microchannel nets embedded in a disk-shape heat sink are investigated using a three-dimensional computational fluid dynamics (CFD) approach. A constant heat flux is applied to the top wall of the heat sink. The intrinsic advantages of fractal-like microchannel nets such as low flow resistance, temperature uniformity, and reduced danger of blockage compared with the traditional parallel channel nets are demonstrated. In addition, various optimized designs with parameters such as the number of branches, number of branching levels, and number of channels that reach the center of the disk are addressed in this context.
1.
Tuckerman
, D. B.
, and Pease
, R. F. W.
, 1981, “Higher-Performance Heat Sinking for VLSI
,” IEEE Electron Device Lett.
0741-3106, EDI-2
(5
), pp. 126
–277
.2.
Sohban
, B. S.
, 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
.3.
Obot
, N. T.
, 2000, “Toward Better Understanding of Friction and Heat/Mass Transfer in Microchannels: A Literature Review
,” Proceedings of the International Conference on Heat Transfer and Transport Phenomena in Microscale
, Banff
, Canada, Begell House
, New York
, pp. 72
–79
.4.
Kleinstreuer
, C.
, 2003, Two-Phase Flow: Theory and Applications
, Taylor and Francis
, New York
.5.
Bejan
, A.
, and Errera
, M. R.
, 1997, “Deterministic Tree Networks for Fluid Flow: Geometry for Minimal Flow Resistance Between a Volume and One Point
,” Fractals
0218-348X, 5
, pp. 685
–695
.6.
Bejan
, A.
, 2001, “The Tree of Convective Heat Streams: Its Thermal Insulation Function and the Predicted 3∕4-Power Relation Between Body Heat Loss and Body Size
,” Int. J. Heat Mass Transfer
0017-9310, 44
, pp. 699
–704
.7.
Bejan
, A.
, 2000, Shape and Structure, From Engineering to Nature
, Cambridge University Press
, Cambridge, UK
.8.
Bejan
, A.
, 1997, “Constructal Tree Network for Fluid Flow Between a Finite-Size Volume and One Source or Sink
,” Rev. Gen. Therm.
0035-3159, 36
, pp. 592
–604
.9.
Pence
, D. V.
, 2000, “Improved Thermal Efficiency and Temperature Uniformity Using Fractal-Like Branching Channel Networks
,” Proceedings of the International Conference on Heat Transfer and Transport Phenomena in Microscale
, Banff
, Canada, Begell House
, New York
, pp. 142
–148
.10.
Wechsatol
, W.
, Lorente
, S.
, and Bejan
, A.
, 2002, “Optimal Tree-Shaped Networks for Fluid Flow in a Disk-Shaped Body
,” Int. J. Heat Mass Transfer
0017-9310, 45
, pp. 4911
–4924
.11.
Pence
, D. V.
, 2002, “Reduced Pumping Power and Wall Temperature in Microchannel Heat Sinks With Fractal-Like Branching Channel Networks
,” Microscale Thermophys. Eng.
1089-3954, 6
(4
), pp. 319
–330
.12.
Chen
, Y.
, and Cheng
, P.
, 2002, “Heat Transfer and Pressure Drop in Fractal Tree-Like Microchannel Nets
,” Int. J. Heat Mass Transfer
0017-9310, 45
, pp. 2643
–2648
.13.
Alharbi
, A. Y.
, Pence
, D. V.
, and Cullion
, R. N.
, 2003, “Fluid Flow Through Microscale Fractal-Like Branching Channel Networks
,” J. Fluids Eng.
0098-2202, 125
, pp. 1051
–1057
.14.
Enfield
, K. E.
, Siekas
, J. J.
, and Pence
, D. V.
, 2004, “Laminate Mixing in Microscale Fractal-Like Merging Channel Networks
,” Microscale Thermophys. Eng.
1089-3954, 8
, pp. 207
–224
.15.
Senn
, S. M.
, and Poulikakos
, D.
, 2004, “Laminar Mixing Heat Transfer and Pressure Drop in Tree-Like Microchannel Nets and Their Application for Thermal Management in Polymer Electrolyte Fuel Cells
,” J. Power Sources
0378-7753, 130
, pp. 178
–191
.16.
Ghodoossi
, L.
, 2004, “Thermal and Hydrodynamic Analysis of a Fractal Microchannel Network
,” Energy Convers. Manage.
0196-8904, 46
(5
), pp. 771
–788
.17.
Murray
, C. D.
, 1926, “The Physiological Principle of Minumum Work, in the Vascular System, and the Cost of Blood-Volume
,” Proc. Natl. Acad. Sci. U.S.A.
0027-8424, 12
, pp. 207
–214
.19.
Senn
, S. M.
, and Poulikakos
, D.
, 2004, “Laminar Mixing, Heat Transfer, and Pressure Drop in Treelike Microchannel Nets and Their Application for Thermal Management in Polymer Electrolyte Fuel Cells
,” J. Power Sources
0378-7753, 130
, pp. 178
–191
.20.
Shah
, R. K.
, and London
, A. L.
, 1978, Laminar Flow Forced Convection in Ducts, Advances in Heat Transfer
, Adademic
, New York
.Copyright © 2006
by American Society of Mechanical Engineers
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