Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
1. A. Arora, G. Simone, G. B. Salieb-Beugelaar, J. T. Kim, and A. Manz, Analytical Chemistry 82, 48304847 (2010).
2. J. West, M. Becker, S. Tombrink, and A. Manz, Analytical Chemistry 80, 44034419 (2008).
3. P. S. Dittrich, K. Tachikawa, and A. Manz, Analytical Chemistry 78, 38873907 (2006).
4. G. M. Whitesides, Nature 442, 368373 (2006).
5. K. W. Oh, R. Rong, and C. H. Ahn, Journal of Micromechanics and Microengineering 15, 24492455 (2005).
6. C. Van Berkel, J. D. Gwyer, S. Deane, N. Green, J. Holloway, V. Hollis, and H. Morgan, Lab on a Chip - Miniaturisation for Chemistry and Biology 11, 12491255 (2011).
7. C. Kim, K. Lee, J. H. Kim, K. S. Shin, K. J. Lee, T. S. Kim, and J. Y. Kang, Lab on a Chip - Miniaturisation for Chemistry and Biology 8, 473479 (2008).
8. D. Kim, N. C. Chesler, and D. J. Beebe, Lab on a Chip - Miniaturisation for Chemistry and Biology 6, 639644 (2006).
9. W. H. Tan and S. Takeuchi, Proceedings of the National Academy of Sciences of the United States of America 104, 11461151 (2007).
10. S. Kobel, A. Valero, J. Latt, P. Renaud, and M. Lutolf, Lab on a Chip - Miniaturisation for Chemistry and Biology 10, 857863 (2010).
11. H. Boukellal, E. Selimović, Y. Jia, G. Cristobal, and S. Fraden, Lab on a Chip - Miniaturisation for Chemistry and Biology 9, 331338 (2009).
12. S. S. Bithi and S. A. Vanapalli, Biomicrofluidics 4 (2010).
13. W. Shi, J. Qin, N. Ye, and B. Lin, Lab on a Chip - Miniaturisation for Chemistry and Biology 8, 14321435 (2008).
14. J. Berthier and P. Silberzan, Microfluidics for Biotechnology, Artech House, 2009.
15. H. R. Williams, R. S. Trask, P. M. Weaver, and I. P. Bond, Journal of the Royal Society Interface 5, 5565 (2008).
16. J. Lee and S. Lee, Microfluidics and Nanofluidics 8, 8595 (2010).
17. A. Bejan and J. H. Marden, Physics of Life Reviews 6, 85102 (2009).
18. A. Bejan and S. Lorente, Journal of Applied Physics 100 (2006).
19. C. Murray, Proc Natl Acad Sci U S A. 12, 207214 (1926).
20. T. Sherman, J Gen Physiol 78, 431453 (1981).
21. K. A. McCulloh, J. S. Sperry, and F. R. Adler, Nature 421, 939942 (2003).
22. K. A. McCulloh, J. S. Sperry, F. C. Meinzer, B. Lachenbruch, and C. Atala, New Phytologist 184, 234244 (2009).
23. M. Zamir, S. Wrigley, and B. Langille, J Gen Physiol 81, 325335 (1983).
24. A. Bejan and S. Lorente, Physics of Life Reviews 8, 209240 (2011).
25. R. Barber and D. Emerson, Microfluidics and Nanofluidics 4, 179191 (2008).
26. B. J. Kirby, Micro- And Nanoscale Fluid Mechanics: Transport in Microfluidic Devices, 2010.
27. E. Meng, Biomedical Microsystems, 2010.
28. M. Gad-El-Hak, MEMS: Introduction and Fundamentals, 2006.
29. F. M. White, McGraw-Hill, Boston, 1999, pp. 168365.
30. N. A. Mortensen, F. Okkels, and H. Bruus, Physical Review E 71, 057301 (2005).
31. H. Bruus, Theoretical microfluidics, Oxford University Press, USA, 2007.
32. R. Revellin, F. Rousset, D. Baud, and J. Bonjour, Theoretical Biology and Medical Modelling 6, 7 (2009).
33. A. Bejan and S. Lorente, Design with Constructal Theory, 2008.
34. D. Lim, Y. Kamotani, B. Cho, J. Mazumder, and S. Takayama, Lab on a Chip - Miniaturisation for Chemistry and Biology 3, 318323 (2003).

Data & Media loading...


Article metrics loading...



In the present study, a general method for geometry of fluidic networks is developed with emphasis on pressure-driven flows in the microfluidic applications. The design method is based on general features of network's geometry such as cross-sectional area and length of channels. Also, the method is applicable to various cross-sectional shapes such as circular, rectangular, triangular, and trapezoidal cross sections. Using constructal theory, the flow resistance, energy loss and performance of the network are optimized. Also, by this method, practical design strategies for the fabrication of microfluidic networks can be improved. The design method enables rapid prediction of fluid flow in the complex network of channels and is very useful for improving proper miniaturization and integration of microfluidic networks. Minimization of flow resistance of the network of channels leads to universal constants for consecutive cross-sectional areas and lengths. For a Y-shaped network, the optimal ratios of consecutive cross-section areas (A/A) and lengths (L/L) are obtained as A/A = 2−2/3 and L/L = 2−1/3, respectively. It is shown that energy loss in the network is proportional to the volume of network. It is also seen when the number of channels is increased both the hydraulic resistance and the volume occupied by the network are increased in a similar manner. Furthermore, the method offers that fabrication of multi-depth and multi-width microchannels should be considered as an integral part of designing procedures. Finally, numerical simulations for the fluid flow in the network have been performed and results show very good agreement with analytic results.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd