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Constructal Theory of Pattern Formation : Volume 11, Issue 2 (17/01/2007)

By Bejan, A.

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Book Id: WPLBN0004010257
Format Type: PDF Article :
File Size: Pages 16
Reproduction Date: 2015

Title: Constructal Theory of Pattern Formation : Volume 11, Issue 2 (17/01/2007)  
Author: Bejan, A.
Volume: Vol. 11, Issue 2
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Bejan, A. (2007). Constructal Theory of Pattern Formation : Volume 11, Issue 2 (17/01/2007). Retrieved from

Description: Duke University, Durham, North Carolina, USA. This review article shows that the occurrence of macroscopic flow configuration is a universal natural phenomenon that can be explained and predicted on the basis of a principle of physics (the constructal law): For a flow system to persist in time (to survive) it must evolve in such a way that it provides easier and easier access to the currents that flow through it. The examples given in this article come from natural inanimate flow systems with configuration: duct cross-sections, open channel cross-sections, tree-shaped flow architectures, and turbulent flow structure (e.g., eddies, laminar lengths before transition). Other examples that are treated in the literature, and which support the constructal law, are the wedge-shape of turbulent shear layers, jets and plumes, the frequency of vortex shedding, Bénard convection in fluids and fluid-saturated porous media, dendritic solidification, the coalescence of solid parcels suspended in a flow, global atmospheric and oceanic circulation and climate, and virtually all architectural features of animal design. The constructal law stresses the importance of reserving a place for pure theory in research, and for constantly searching for new physics – new summarizing principles that are general, hence useful.

Constructal theory of pattern formation

Bejan, A. and Errera, M. R.: Deterministic tree networks for river drainage basins, Fractals, 6, 245–261, 1998.; Bejan, A. and Gobin, D.: Constructal theory of droplet impact geometry, Int. J. Heat Mass Trans., 49, 2412–2419, 2006.; Bejan, A.: Shape and Structure, from Engineering to Nature, Cambridge University Press, Cambridge, UK, 2000.; Bejan, A.: Convection Heat Transfer, 3rd ed., Wiley, Hoboken, NJ, 2004.; Bejan, A.: Advanced Engineering Thermodynamics, 3rd ed., Wiley, Hoboken, NJ, 2006.; Bejan, A.: Entropy Generation through Heat and Fluid Flow, Wiley, New York, 1982.; Bejan, A.: Heat Transfer, Wiley, New York, 1993.; Bejan, A.: Entropy Generation Minimization, CRC Press, Boca Raton, FL, 1996a.; Bejan, A.: Street network theory of organization in Nature, J. Adv. Transport., 30, 85–107, 1996b.; Bejan, A.: Constructal-theory network of conducting paths for cooling a heat generating volume, Int. J. Heat Mass Trans., 40, 799–816, 1997a (published 1 November 1996).; Bejan, A.: Theory of organization in Nature: Pulsating physiological processes, Int. J. Heat Mass Trans., 40, 2097–2104, 1997b.; Bejan, A.: Constructal tree network for fluid flow between a finite-size volume and one source or sink, Int. J. Thermal Sci., 36, 592–604, 1997c.; Bejan, A.: Advanced Engineering Thermodynamics, 2nd ed., Wiley, New York, 1997d.; Bejan, A. and Lorente, S.: Thermodynamic formulation of the constructal law, Int. Mech. Eng. Congress and Expo, ASME Paper IMECE2003-41167, 2003.; Bejan, A. and Lorente, S.: The constructal law and the thermodynamics of flow systems with configuration, Int. J. Heat Mass Trans., 47, 3203–3214, 2004.; Bejan, A. and Lorente, S.: La Loi Constructale, L'Harmattan, Paris, 2005.; Bejan, A. and Marden, J. H.: Unifying constructal theory for scale effects in running, swimming and flying, J. Exp. Biol., 209, 238–248, 2006.; Bejan, A. and Reis, A. H.: Thermodynamic optimization of global circulation and climate, Int. J. Energy Res., 29, 303–316, 2005.; Bejan, A., Dincer, I., Lorente, S., Miguel, A. F., and Reis, A. H.: Porous and Complex Flow Structures in Modern Technologies, Springer, New York, 2004.; Bejan, A., Lorente, S., Miguel, A. F., and Reis, A. H.: Constructal theory of distribution of river sizes, Sect 13.5, in: Bejan, A.: Advanced Engineering Thermodynamics, 3rd ed., Wiley, Hoboken, NJ, 2006.; Carrigan, C. R.: Two-component magma transport and the origins of composite intrusions and lava flows, ch. 14 in: Magmatic Systems, edited by: Ryan, M. P., Academic Press, New York, 319–353, 1994.; Carrigan, C. R. and Eichelberger, J. C.: Zoning of magmas by viscosity in volcanic conduits, Nature, 343, 248–251, 1990.; Chorley, R. J., Schumm, S. A., and Sugden, D. E.: Geomorphology, Methuen, London, 1984.; Hess, W. R.: Das Prinzip des kleinsten Kraftverbrauchs im Dienste hämodynamischer Forschung, Archiv. Anat. Physiol., 1913, see Weibel, 2000.; Dewar, R.: Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states, J. Phys. A: Math. Gen., 36, 631–641, 2003.; Kockman, N., Kiefer, T., Engler, M., and Woias, P.: Channel networks for optimal heat transfer and high throughput mixers, ECI Int. Conf. Heat Transfer and Fluid Flow in Microscale, Castelvecchio Pascoli, Italy, 25–30 September 2005.; Ledezma, G. A., Bejan, A., and Errera, M. R.: Constructal tree networks for heat transfer, J. Appl. Phys., 82, 89–100, 1997.; Leopold, L. B., Wolman, M. G., and Miller, J. P.: Fluvial Processes in Geomorphology, Freeman, San Francisco, 1964.; Lewins, J.: Bejan's constructal theory of equal potential distribution, Int. J. Heat Mass Trans., 46, 1541–1543, 2003.; Lin, C. A.: An extremal principle for a one-dimensional climate model, Geophys. Res. Lett., 9, 716–718, 1982.; Lorente, S. and Be


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