The steepest S curve of spreading and collecting flows: Discovering the invading tree, not assuming it

Journal of Applied Physics

Volumn 111, Issue 11, 2012, Pages

  Cetkin, E ^a   Lorente, S ^b   Bejan, A ^a  

^a Duke University   (United States)

^b Laboratoire Materiaux et Durabilite des Constructions   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRUCTAL LAW; FLOW ARCHITECTURES; S CURVE; SLOW DIFFUSION;

DESIGN;

FORESTRY;

EID: 84863430137     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4721657     Document Type: Conference Paper

References (22)

1. A. Bejan and S. Lorente, The constructal law and the evolution of design in nature., Phys. Life Rev. 8, 209-240 (2011). 10.1016/j.plrev.2011.05.010
2. A. Bejan and J. P. Zane, Design in Nature: How the Constructal Law Governs Evolution in Biology, Physics, Technology, and Social Organization (Doubleday, New York, 2012).
3. A. Bejan and S. Lorente, Design with Constructal Theory (Wiley, Hoboken, 2008).
4. R. Pearl, Growth of populations., Q. Rev. Biol. 51, 6-24 (1976). 10.1086/408971
5. S. E. Kingsland, Modeling Nature: Episodes in the History of Population Ecology (University of Chicago, Chicago, 1995).
6. M. Nishioka, C. K. Law, and T. Takeno, Combust. Flame 104, 328-342 (1996). 10.1016/0010-2180(95)00132-8
7. J. W. Lu and P. W. Beamish, International diversification and firm performance: The S-CURVE hypothesis., Acad. Manage J. 47, 598-609 (2004). 10.2307/20159604
8. P. Asthana, Jumping the technology S-curve., IEEE Spectrum 32, 49-54 (1995). 10.1109/6.387142
9. A. Grubler, The Rise and Fall of Infrastructures: Dynamics of Evolution and Technological Change in Transport (Physica, Heidelberg, 1990).
10. W. Easterly, The White Man's Burden (Penguin Books, London, 2006).
11. M. K. Hubbert, Energy from fossil fuels., Science 109, 103-109 (1949). 10.1126/science.109.2823.103
12. A. R. Brandt, Testing Hubbert., Energy Policy 35, 3074-3088 (2007). 10.1016/j.enpol.2006.11.004
13. T. W. Patzek and G. D. Croft, A global coal production forecast with multi-Hubbert cycle analysis., Energy 35, 3109-3122 (2010). 10.1016/j.energy. 2010.02.009
14. A. Bejan and S. Lorente, The constructal law origin of the logistics S curve., J. Appl. Phys. 110, 024901 (2011). 10.1063/1.3606555
15. A. Bejan and S. Lorente, The physics of spreading ideas., Int. J. Heat Mass Transfer 55, 802-807 (2012). 10.1016/j.ijheatmasstransfer.2011.10.029
16. A. Bejan, Constructal-theory network of conducting paths for cooling a heat generating volume., Int. J. Heat Mass Transfer 40, 799-816 (1997). 10.1016/0017-9310(96)00175-5
17. A. Bejan and S. Lorente, Constructal theory of generation of configuration in nature and engineering., J. Appl. Phys. 100, 041301 (2006). 10.1063/1.2221896
18. See www.comsol.com for information about comsol Multiphysics.
19. A. Bejan, Convection Heat Transfer, 3rd ed. (Wiley, Hoboken, 2004).
20. W. Wechsatol, J. C. Ordonez, and S. Kosaraju, Constructal dendritic geometry and the existence of asymmetric bifurcation., J. Appl. Phys. 100, 113514 (2006). 10.1063/1.2388732
21. X. Daguenet-Frick, J. Bonjour, and R. Revellin, Constructal microchannel network for flow boiling in a disc-shaped body., IEEE Trans. Compon. Packag. Technol. 33, 115-126 (2010). 10.1109/TCAPT.2009.2027427
22. J. Fan and L. Wang, Constructal design of nanofluids., Int. J. Heat Mass Transfer 53, 4238-4247 (2010). 10.1016/j.ijheatmasstransfer.2010.05.050