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TECHNICAL PAPERS

Fluid Flow Through Microscale Fractal-Like Branching Channel Networks

[+] Author and Article Information
Ali Y. Alharbi

Department of Mechanical Power and Refrigeration, PAAET College of Technological Studies, P.O. Box 42325, Shuwaikh 70654, Kuwaite-mail: aalharbi@paaetms.paaet.edu.kw

Deborah V. Pence, Rebecca N. Cullion

Department of Mechanical Engineering, Oregon State University, 204 Rogers Hall, Corvallis, OR 97331-6001

J. Fluids Eng 125(6), 1051-1057 (Jan 12, 2004) (7 pages) doi:10.1115/1.1625684 History: Received January 22, 2003; Revised June 06, 2003; Online January 12, 2004
Copyright © 2003 by ASME
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References

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Sohban,  B. S., and Garimella,  S. V., 2001, “A Comparative Analysis of Studies on Heat Transfer and Fluid Flow in Microchannels,” Microscale Thermophys. Eng., 5, pp. 293–311.
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Bau,  H. H., 1998, “Optimization of Conduits’ Shape in Micro Heat Exchangers,” Int. J. Heat Mass Transfer, 41, pp. 2717–2723.
Pence, D. V., 2000, “Improved Thermal Efficiency and Temperature Uniformity Using Fractal-Like Branching Channel Networks,” Proc. International Conference on Heat Transfer and Transport Phenomena in Microscale, Banff, Canada, Begell House, New York, pp. 142–148.
West,  G. B., Brown,  J. H., and Enquist,  B. J., 1997, “A General Model for the Origin of Allometric Scaling Laws in Biology,” Science, 276, pp. 122–126.
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Pence,  D. V., 2002, “Reduced Pumping Power and Wall Temperature in Microchannel Heat Sinks With Fractal-Like Branching Channel Networks,” Microscale Thermophys. Eng., 6(4), pp. 319–330.
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White, F. M., 1991, Viscous Fluid Flow, McGraw-Hill, New York.
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Figures

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Fractal-like branching channel network (shaded path includes branches k=0,k=1,k=2b,k=3c,k=4f)
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Constant property pressure distribution through fractal-like and straight channel networks
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Local coordinate system for k=3c branch. Note that z is always out of the page and that the channel k=3d is tapered.
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Mid-depth, z=0.5, velocity magnitudes at the junction between branching level 0 and level 1
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Axial velocity profiles at x=0 and z=0.5 for all branches along shaded path in Fig. 1
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Axial velocity profiles at x=0 and y=0.5 for all branches along shaded path in Fig. 1
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Axial velocity profiles at x=1 and z=0.5 for all branches along shaded path in Fig. 1
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Axial velocity profiles at x=1 and y=0.5 for all branches along shaded path in Fig. 1
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Nonaxial velocity vectors at x=1 for branch k=0
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Nonaxial velocity vectors at x=1 for branch k=1
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Particle trace of massless particle introduced near (x,y,z)=(0,0.9,0.65) of k=3d branch
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Three-dimensional CFD pressure distributions for fractal-like and straight channel networks with constant and variable fluid properties
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Experimental pressure drop from two prototypes compared with pressure drop from three-dimensional CFD model with an inlet plenum. Fully developed assessments are based on theory with no inlet plenum.

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