International Scientific Journal

Authors of this Paper

External Links


By taking equivalent thermal resistance, which reflects the average heat conduction effect and is defined based on entransy dissipation, as optimization objective, the “volume to point” constructal problem based on triangular element of how to discharge the heat generated in a fixed volume to a heat sink on the border through relatively high conductive link is re-analyzed and re-optimized in this paper. The constructal shape of the control volume with the best average heat conduction effect is deduced. For the same parameters, the constructs based on minimization of entransy dissipation and the constructs based on minimization of maximum temperature difference are compared, and the results show that the constructs based on entransy dissipation can decrease the mean temperature difference better than the constructs based on minimization of maximum temperature difference. But with the increase of the number of order, the mean temperature difference does not always decrease, and there exists some fluctuations. Because the idea of entransy describes heat transfer ability more suitably, the optimization results of this paper can be put to engineering application of electronic cooling.
PAPER REVISED: 2009-12-22
PAPER ACCEPTED: 2010-02-08
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2010, VOLUME 14, ISSUE Issue 4, PAGES [1075 - 1088]
  1. Bejan, A., Constructal-Theory Network of Conducting Paths for Cooling a Heat Generating Volume, Trans. ASME, J. Heat Transfer, 40 (1997), 4, pp. 799-816
  2. Bejan, A., Shape and Structure, from Engineering to Nature, Cambridge University Press, Cam bridge, UK, 2000
  3. Bejan, A., Lorente, S., Thermodynamic Optimization of Flow Geometry in Mechanical and Civil Engineering, J. Non-Equilib. Thermodyn., 26 (2001), 4, pp. 305-354
  4. Bejan, A., Lorente, S., Constructal Low (in French), L'Harmatan, Paris, 2005
  5. Bejan, A., Lorente, S., Constructal Theory of Generation of Configuration in Nature and Engineering, J. Appl. Phys., 100 (2006), 4, pp. 041301
  6. Bejan, A., Constructal Theory of Design in Engineering and Na ture, Thermal Science, 10 (2006), 1, pp. 9-18
  7. Reis, A., H., Miguel, A, F., Constructal Theory and Flow Architectures in Living Systems, Thermal Science, 10 (2006), 1, pp. 57-64
  8. Reis, A., H., Constructal Theory: From Engineering to Physics, and How Flow Systems Develop Shape and Structure, Appl. Mechanics Rev., 59 (2006), 5, pp. 269-282
  9. Bejan, A., Merkx, G, W., Constructal Theory of Social Dynamics, Springer, New York, USA, 2007
  10. Almogbel, M., Bejan, A., Conduction Trees with Spacings at the Tips, Int. J. Heat Mass Transfer, 42 (1999), 20, pp. 3739-3756
  11. Ghodoossi, L., Egrican, N., Exact Solution for Cooling of Electronics Using Constructal Theory, J. Appl. Phys., 93 (2003), 8, pp. 4922-4929
  12. Neagu, M., Bejan, A., Three-Dimensional Tree Constructs of "Constant" Thermal Resistance, J. Appl. Phys., 86 (1999), 12, pp. 7107-7115
  13. Ledezma, G, A., Bejan, A., Errera, M. R., Constructal Tree Networks for Heat Transfer, J. Appl. Phys., 82 (1997), 1, pp. 89-100
  14. Neagu, M., Bejan, A., Constructal-Theory Tree Networks of "Constant" Thermal Resistance, J. Appl. Phys., 86 (1999), 2, pp. 1136-1144
  15. Bejan, A., Dan, N., Two Constructal Routes to Minimal Heat Flow Resistance via Greater Internal Complexity, Trans. ASME, J. Heat Transfer, 121 (1999), 1, pp. 6-14
  16. Almogbel, M., Bejan, A., Constructal Optimization of Non-Uniformly Distributed Tree-Shaped Flow Structures for Conduction, Int. J. Heat Mass Transfer, 44 (2001), 22, pp. 4185-4194
  17. Zhou, S., Chen, L., Sun, F., Optimization of Constructal Volume-Point Conduction with Variable Cross-Section Conducting Path, Energy & Conversion Management, 48 (2007), 1, pp. 106-111
  18. Wu, W., Chen, L., Sun, F., On the "Area to Point" Flow Problem Based on Constructal Theory, Energy & Conversion Management, 48 (2007), 1, pp. 101-105
  19. Ghodoossi, S., Egrican, N., Con duc tive Cooling of Triangular Shaped Electronics Us ing Constructal Theory, Energy & Conversion Management, 45 (2004), 6, pp. 811-828
  20. Lorente, S., Wechsatol, W., Bejan, A., Optimization of Tree-Shaped Flow Distribution Structures over a Disc-Shaped Area, Int. J. Energy Research, 27 (2003), 8, pp. 715-723
  21. Lorente, S., Wechsatol, W., Bejan, A., Tree-Shaped Flow Structures De sign by Minimizing Path Length, Int. J. Heat Mass Transfer, 45 (2002), 16, pp. 3299-3312
  22. Azoumah, Y., Neveu, P., Mazet, N., Constructal Design Combined with Entropy Generation Minimization for Solid-Gas Reactors, Int. J. Thermal Sciences, 45 (2006), 7, pp. 716-728
  23. Vargas, J. V. C., Bejan, A., Integrative Thermodynamic Optimization of the Environmental Control System of an Air craft, Int. J. Heat Mass Transfer, 44 (2001), 20, pp. 3907-3917
  24. Dan, N., Bejan, A., Constructal Tree Networks for the Time-Dependent Discharge of Finite-Size Volume to One Point, J. Appl. Phys., 84 (1998), 6, pp. 3042-3050
  25. Wang, A. H., Liang, X. G., Ren, J. X., Constructal Enhancement of Heat Conduction with Phase Change, Int. J. Thermophys., 27 (2006), 1, pp. 126-138
  26. Xu, P., Yu, B. M., The Scaling Laws of Transport Properties for Fractal-Like Tree Networks, J. Appl. Phys., 100 (2006), 10, pp. 104906
  27. Yu, B., Li, B., Fractal-Like Tree Networks Reducing the Thermal Conductivity, Phys. Rev. E., 73 (2006), 6, pp. 066-302
  28. Xu, P., et al., Heat Conduction in Fractal Tree-Like Branched Networks, Int. J. Heat Mass Transfer, 49 (2006), 19-20, pp. 3746-3751
  29. Xu, X., Liang, X., Ren, J., Optimization of Heat Conduction Using Combinatorial Optimization Algorithms, Int. J. Heat Mass Transfer, 50 (2007), 9-10, pp. 1675-1682
  30. Guo, Z. X., Cheng, X. G., Xia, Z. Z., Least Dissipation Principle of Heat Transport Potential Capacity and Its Application in Heat Conduction Optimization, Chin. Sci. Bull., 48 (2003), 4, pp. 406-410
  31. Guo, Z, Y., Zhu, H, Y., Liang, X, G., Entransy - A Physical Quantity Describing Heat Transfer Ability, Int. J. Heat Mass Transfer, 50 (2007), 13-14, pp. 2545-2556
  32. Wei, S., Chen, L., Sun, F., "Volume-Point" Heat Conduction Constructal Optimization with Entransy Dissipation Minimization Objective Based on Rectangular Element, Sci. China Ser. E-Tech. Sci., 51 (2008), 8, pp. 1283-1295

© 2022 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence