Constructal optimization for "disc-point" heat conduction at micro and nanoscales

International Journal of Heat and Mass Transfer

Volumn 67, Issue , 2013, Pages 704-711

  Chen, Lingen ^a   Feng, Huijun ^a   Xie, Zhihui ^a   Sun, Fengrui ^a  

^a NAVAL UNIVERSITY OF ENGINEERING   (China)

Author keywords

Constructal theory; Disc point heat conduction; Generalized thermodynamic optimization; Maximum temperature difference; Micro and nanoscales

Indexed keywords

CONSTRUCTAL THEORY; GENERALIZED THERMODYNAMIC OPTIMIZATION; HEAT CONDUCTION MODELS; HEAT TRANSFER PERFORMANCE; HIGH-CONDUCTIVITY MATERIALS; MAXIMUM TEMPERATURE DIFFERENCES; NANO SCALE; THERMAL CONDUCTIVITY RATIO;

BODIES OF REVOLUTION; HEAT CONDUCTION; NANOTECHNOLOGY; THERMAL CONDUCTIVITY;

OPTIMIZATION;

EID: 84884577717     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2013.08.051     Document Type: Article

References (48)

1. A. Bejan Street network theory of organization in nature J. Adv. Trans. 30 2 1996 85 107 (Pubitemid 126578895)
2. A. Bejan Constructal-theory network of conducting paths for cooling a heat generating volume Int. J. Heat Mass Transfer 40 4 1997 799 816 (Pubitemid 127422417)
3. A. Bejan How nature takes shape: extensions of constuctal theory to ducts, river, turbulence, cracks, dendritic crystals and spatial economics Int. J. Therm. Sci. 38 8 1999 653 663 (Pubitemid 129664877)
4. A. Bejan Shape and Structure, from Engineering to Nature 2000 Cambridge University Press Cambridge, UK
5. R. Rosa, A. Reis, and A. Miguel Proceedings of the Symposium Bejan's Constructal Theory of Shape and Structure 2004 University of Evora Evora, Portugal
6. A. Bejan, and S. Lorente The Constructal Law (La Loi Constructale) 2005 L'Harmatan Paris
7. A. Bejan, S. Lorente, A. Miguel, A.H. Reis, Along with constructal theory, UNIL FGSE workshop series No. 1, in: J. Hernandez, M. Cosinschi (Eds.), University of Lausanne, Faculty of Geosciences and the Environment, Switzerland, 2006.
8. A. Reis Constructal theory: from engineering to physics, and how flow systems develop shape and structure Trans. ASME Appl. Mech. Rev. 59 5 2006 269 282 (Pubitemid 46132200)
9. A. Bejan, and S. Lorente Constructal theory of generation of configuration in nature and engineering J. Appl. Phys. 100 4 2006 041301
10. A. Bejan, and J.H. Marden Unifying constructal theory for scale effects in running, swimming and flying J. Exp. Biol. 209 2 2006 238 248 (Pubitemid 43226747)
11. A. Bejan, and G.W. Merkx Constructal Theory of Social Dynamics 2007 Springer New York
12. A. Bejan, and S. Lorente Design with Constructal Theory 2008 Wiley New Jersey
13. B. Yu Analysis of flow in fractal porous media Trans. ASME Appl. Mech. Rev. 61 5 2008 050801
14. A. Bejan, and J.H. Marden The constructal unification of biological and geophysical design Phys. Life Rev. 6 2 2009 85 102
15. A. Bejan, S. Lorente, A. Miguel, and A.H. Reis Constructal Human Dynamics, Security and Sustainability 2009 IOS Press Amsterdam
16. A. Bejan, and S. Lorente The constructal law and the design of the biosphere: nature and globalization Trans. ASME J. Heat Transfer 133 1 2011 011001
17. A. Bejan, and S. Lorente The constructal law and the evolution of design in nature Phys. Life Rev. 8 3 2011 209 240
18. L. Chen Progress in study on constructal theory and its application Sci. China-Technol. Sci. 55 3 2012 802 820
19. G. Ledezma, A. Bejan, and M. Errera Constructal tree networks for heat transfer J. Appl. Phys. 82 1 1997 89 100 (Pubitemid 127598255)
20. G.A. Ledezma, and A. Bejan Constructal three-dimensional trees for conduction between a volume and one point Trans. ASME J. Heat Transfer 120 4 1998 977 984 (Pubitemid 29081903)
21. M. Neagu, and A. Bejan Constructal-theory tree networks of 'constant' thermal resistance J. Appl. Phys. 86 2 1999 1136 1144 (Pubitemid 129619423)
22. A. Bejan, and M. Almogbel Constructal T-shaped fins Int. J. Heat Mass Transfer 43 12-15 2000 2101 2115 (Pubitemid 30221662)
23. W. Wechsatol, S. Lorente, and A. Bejan Tree-shaped insulated designs for the uniform distribution of hot water over an area Int. J. Heat Mass Transfer 44 16 2001 3111 3123 (Pubitemid 32555033)
24. M. Almogbel, and A. Bejan Constructal optimization of nonuniformly distributed tree-shaped flow structures for conduction Int. J. Heat Mass Transfer 44 22 2001 4185 4194 (Pubitemid 32826623)
25. L. Ghodoossi, and N. Egrican Exact solution for cooling of electronics using constructal theory J. Appl. Phys. 93 8 2003 4922 4929
26. S. Ghodoossi, and N. Egrican Conductive cooling of triangular shaped electronics using constructal theory Energy Convers. Manage. 45 6 2004 811 828
27. V.D. Zimparov, A.K. da Silva, and A. Bejan Thermodynamic optimization of tree-shaped flow geometries Int. J. Heat Mass Transfer 49 9-10 2006 1619 1630
28. W. Wu, L. Chen, and F. Sun Improvement of tree-like network constructal method for heat conduction optimization Sci. China Ser. E: Technol. Sci. 49 3 2006 332 341 (Pubitemid 44598355)
29. W. Wu, L. Chen, and F. Sun On the "area to point" flow problem based on constructal theory Energy Convers. Manage. 48 1 2007 101 105 (Pubitemid 44556936)
30. S. Zhou, L. Chen, and F. Sun Optimization of constructal economics for volume to point transport Appl. Energy 84 5 2007 505 511 (Pubitemid 46073461)
31. L. Chen, S. Wei, and F. Sun Constructal entransy dissipation minimization for "volume-point" heat conduction J. Phys. D Appl. Phys. 41 19 2008 195506
32. L. Chen, S. Wei, and F. Sun Constructal entransy dissipation minimization of an electromagnet J. Appl. Phys. 105 9 2009 094906
33. Y.S. Kim, S. Lorente, and A. Bejan Constructal steam generator architecture Int. J. Heat Mass Transfer 52 7-8 2009 2362 2369
34. D.H. Kang, S. Lorente, and A. Bejan Constructal architecture for heating a stream by convection Int. J. Heat Mass Transfer 53 9-10 2010 2248 2255
35. J. Fan, and L. Wang Constructal design of nanofluids Int. J. Heat Mass Transfer 53 19-20 2010 4238 4247
36. A.K. da Silva, and L. Gosselin Volumetric maximization of coolant usage in closed self-driven circuits Int. J. Heat Mass Transfer 53 19-20 2010 3969 3976
37. L. Chen, Z. Xie, and F. Sun Multiobjective constructal optimization of an insulating wall combining heat flow, strength and weight Int. J. Therm. Sci. 50 9 2011 1782 1789
38. E. Cetkin, S. Lorente, and A. Bejan Vascularization for cooling and mechanical strength Int. J. Heat Mass Transfer 54 13/14 2011 2774 2781
39. A.K. da Silva, C. Vasile, and A. Bejan Disc cooled with high-conductivity inserts that extend inward from the perimeter Int. J. Heat Mass Transfer 47 19/20 2004 4257 4263 (Pubitemid 38958464)
40. L. Chen, S. Wei, and F. Sun Constructal entransy dissipation rate minimization of a disc Int. J. Heat Mass Transfer 54 1-3 2011 210 216
41. L.A.O. Rocha, S. Lorente, and A. Bejan Contructal design for cooling a disc-shaped area by conduction Int. J. Heat Mass Transfer 45 8 2002 1643 1652 (Pubitemid 34172108)
42. L.A.O. Rocha, S. Lorente, and A. Bejan Conduction tree networks with loops for cooling a heat generating volume Int. J. Heat Mass Transfer 49 15/16 2006 2626 2635 (Pubitemid 44250954)
43. Q. Xiao, L. Chen, and F. Sun Constructal entransy dissipation rate minimization for "disc-to- point" heat conduction Chin. Sci. Bull. 56 1 2011 102 112
44. Q. Xiao, L. Chen, and F. Sun Constructal optimization for "disc-to-point" heat conduction without the premise of optimized last-order construct Int. J. Therm. Sci. 50 6 2011 1031 1036
45. A. Majumdar Microscale heat conduction in dielectric thin films Trans. ASME J. Heat Transfer 115 1 1993 7 16
46. K.E. Goodson, and M.K. Flik Electron and phonon thermal conduction in epitaxial high-Tc superconducting films Trans. ASME J. Heat Transfer 115 1 1993 17 25
47. A.B. Duncan, and G.P. Peterson Review of microscale heat transfer Trans. ASME Appl. Mech. Rev. 47 9 1994 397 428
48. L. Gosselin, and A. Bejan Constructal heat trees at micro and nanoscales J. Appl. Phys. 96 10 2004 5852 5859