A critical review of constructal theory

Constructal theory applied to the volume to point or point to volume flows aims to decrease global flow resistance by furnishing low resistive flow links in the flow field. Constructal theory expects to improve the flow performance by increasing the branching of the low resistive flow links. Fourteen different constructal theory applications involving tree shaped flow networks are reviewed with the purpose to check whether the increase in branching of tree shaped flow networks leads to increased flow performance or not? In other words, the review aims to answer the question; does the evolution model of constructal theory, increasing the branching of tree shaped flow networks through the sequence of constructal designs, improve the flow performance? The review shows that constructal theory will not necessarily improve the flow performance if the internal branching of the flow field is increased, in contrast, the performance will mostly be lowered if the internal branching of the flow field is increased.

[1]  Lotfollah Ghodoossi,et al.  Flow area structure generation in point to area or area to point flows , 2003 .

[2]  Adrian Bejan,et al.  Streets tree networks and urban growth: Optimal geometry for quickest access between a finite-size volume and one point , 1998 .

[3]  A. Bejan Shape and Structure, from Engineering to Nature , 2000 .

[4]  Adrian Bejan,et al.  Two Constructal Routes to Minimal Heat Flow Resistance via Greater Internal Complexity , 1999 .

[5]  Adrian Bejan,et al.  Tree-shaped insulated designs for the uniform distribution of hot water over an area , 2001 .

[6]  Adrian Bejan,et al.  Three-dimensional tree constructs of “constant” thermal resistance , 1999 .

[7]  J. C. Denton,et al.  Analytical solution for heat conduction problem in composite slab and its implementation in constructal solution for cooling of electronics , 2007 .

[8]  Adrian Bejan,et al.  Street network theory of organization in nature , 1996 .

[9]  Adrian Bejan,et al.  Constructal-theory tree networks of “constant” thermal resistance , 1999 .

[10]  Adrian Bejan,et al.  Constructal design for cooling a disc-shaped area by conduction , 2002 .

[11]  Adrian Bejan,et al.  Convective trees of fluid channels for volumetric cooling , 2000 .

[12]  Viorel Badescu,et al.  Constructal theory of economics , 2000 .

[13]  Lotfollah Ghodoossi,et al.  Exact solution for cooling of electronics using constructal theory , 2003 .

[14]  Y. Azoumah,et al.  Constructal network for heat and mass transfer in a solid–gas reactive porous medium , 2004 .

[15]  Adrian Bejan,et al.  Deterministic Tree Networks for Fluid Flow: Geometry for Minimal Flow Resistance Between a Volume and One Point , 1997 .

[16]  Lotfollah Ghodoossi Conceptual study on constructal theory , 2004 .

[17]  Lotfollah Ghodoossi,et al.  Flow area optimization in point to area or area to point flows , 2003 .

[18]  A. Bejan Constructal-theory network of conducting paths for cooling a heat generating volume , 1997 .

[19]  Viorel Badescu,et al.  Constructal theory of economics structure generation in space and time , 2000 .

[20]  Adrian Bejan,et al.  Conduction trees with spacings at the tips , 1999 .

[21]  Adrian Bejan,et al.  Constructal optimization of nonuniformly distributed tree-shaped flow structures for conduction , 2001 .

[22]  Adrian Bejan,et al.  Constructal Trees of Convective Fins , 1999 .

[23]  Lotfollah Ghodoossi,et al.  Entropy generation rate in uniform heat generating area cooled by conducting paths: criterion for rating the performance of constructal designs , 2004 .