Constructal entropy generation rate minimization for X-shaped vascular networks

International Journal of Thermal Sciences

Volumn 92, Issue , 2015, Pages 129-137

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

^a NAVAL UNIVERSITY OF ENGINEERING   (China)

Author keywords

Constructal theory; Entropy generation rate minimization; Generalized thermodynamic optimization; Optimal tube angle; X shaped vascular network

Indexed keywords

BODIES OF REVOLUTION;

CONSTRUCTAL THEORY; ENTROPY GENERATION RATE; GENERALIZED THERMODYNAMIC OPTIMIZATION; OPTIMAL TUBE ANGLE; VASCULAR NETWORK;

ENTROPY;

EID: 84923800463     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2015.01.029     Document Type: Article

References (50)

1. A. Bejan, Shape and Structure, from Engineering to Nature, Cambridge University Press, Cambridge, 2000. UK.
2. R. Rosa, A. Reis, A. Miguel, in: Proceedings of the Symposium Bejan's Constructal Theory of Shape and Structure. Evora: University of Evora, Portugal, 2004, p. 219.
3. S. Lorente, A. Bejan, Svelteness, freedom to morph, and constructal multi-scale flow structures, Int. J. Therm. Sci. 44 (12) (2005) 1123-1130.
4. 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.
5. A. Bejan, S. Lorente, Constructal theory of generation of configuration in nature and engineering, J. Appl. Phys. 100 (4) (2006) 041301.
6. A. Bejan, S. Lorente, Design with Constructal Theory, Wiley, New Jersey, 2008.
7. S. Lorente, Vascularized materials as designed porous media, Int. J. Energy Res. 33 (2) (2009) 211-220.
8. L. Chen, Progress in study on constructal theory and its application, Sci. China: Technol. Sci. 55 (3) (2012) 802-820.
9. L.A.O. Rocha, S. Lorente, A. Bejan (Eds.), Constructal Law and the Unifying Principle of Design, Springer, Berlin, 2013.
10. A. Bejan, S. Lorente, Constructal law of design and evolution: physics, biology, technology, and society, J. Appl. Phys. 113 (15) (2013) 151301.
11. A. Bejan, S. Lorente, R. Anderson, Constructal underground designs for ground-coupled heat pumps, Trans. ASME, J. Sol. Energy Eng. 136 (1) (2014) 011019.
12. A. Bejan, Constructal-theory network of conducting paths for cooling a heat generating volume, Int. J. Heat Mass Transfer 40 (4) (1997) 799-816.
13. G. Ledezma, A. Bejan, M. Errera, Constructal tree networks for heat transfer, J. Appl. Phys. 82 (1) (1997) 89-100.
14. M. Neagu, A. Bejan, Constructal-theory tree networks of 'constant' thermal resistance, J. Appl. Phys. 86 (2) (1999) 1136-1144.
15. M. Almogbel, A. Bejan, Constructal optimization of nonuniformly distributed tree-shaped flow structures for conduction, Int. J. Heat Mass Transfer 44 (22) (2001) 4185-4194.
16. L. Ghodoossi, N. Egrican, Conductive cooling of triangular shaped electronics using constructal theory, Energy Convers. Manage. 45 (6) (2004) 811-828.
17. S. Tescari, N. Mazet, P. Neveu, Constructal theory through thermodynamics of irreversible processes framework, Energy Convers. Manage. 52 (10) (2011) 3176-3188.
18. M. Eslami, K. Jafarpur, Thermal resistance in conductive constructal designs of arbitrary configuration: a new general approach, Energy Convers. Manage. 57 (2012) 117-124.
19. L. Chen, H. Feng, Z. Xie, F. Sun, Constructal optimization for "disc-point" heat conduction at micro and nanoscales, Int. J. Heat Mass Transfer 67 (2013) 704-711.
20. G. Lorenzini, C. Biserni, L.A.O. Rocha, Constructal design of X-shaped conductive pathways for cooling a heat-generating body, Int. J. Heat Mass Transfer 58 (1-2) (2013) 513-520.
21. G. Lorenzini, C. Biserni, L.A.O. Rocha, Constructal design of non-uniform Xshaped conductive pathways for cooling, Int. J. Therm. Sci. 71 (2013) 140-147.
22. M.R. Hajmohammadi, V.A. Abianeh, M. Moezzinajafabadi, et al., Fork-shaped highly conductive pathways for cooling in a heat generating piece, Appl. Therm. Eng. 61 (2) (2013) 228-235.
23. M.R. Hajmohammadi, S.O. Joneydi, M. Moulod, et al., Phi and Psi shaped conductive routes for improved cooling in a heat generating piece, Int. J. Therm. Sci. 77 (2014) 66-74.
24. M.R. Hajmohammadi, S. Poozesh, A. Campo, S.S. Nourazar, Valuable reconsideration in the constructal design of cavities, Energy Convers. Manage. 66 (2013) 33-40.
25. M.R. Hajmohammadi, M. Rahmani, A. Campo, S.O. Joneydi, Optimal design of unequal heat flux elements for optimized heat transfer inside a rectangular duct, Energy 68 (2014) 609-616.
26. G. Lorenzini, C. Biserni, F.B. Link, E.D. dos Santos, L.A. Isoldi, L.A.O. Rocha, Constructal design of isothermal X-shaped cavities, Therm. Sci. 18 (2) (2014) 349-356.
27. A. Pouzesh, M.R. Hajmohammadi, S. Poozesh, Investigations on the internal shape of constructal cavities intruding a heat generating body, Therm. Sci. (2015), http://dx.doi.org/10.2298/TSC I120427164P.
28. M.R. Hajmohammadi, M. Moulod, O.J. Shariatzadeh, A. Campo, Effects of a thick plate on the excess temperature of iso-heat flux heat sources cooled by laminar forced convection flow: conjugate Analysis, Numer. Heat Transfer, Part A 66 (2) (2014) 205-216.
29. M.R. Hajmohammadi, S.S. Nourazar, On the insertion of a thin gas layer in micro cylindrical Couette flows involving power-law liquids, Int. J. Heat Mass Transfer 75 (2014) 97-108.
30. G. Lorenzini, M. Medici, L.A.O. Rocha, Convective analysis of constructal Tshaped fins, J. Eng. Thermophys. 23 (2) (2014) 98-104.
31. M.R. Hajmohammadi, M. Moulod, S.O. Joneydi, S.S. Nourazar, New methods to cope with temperature elevations in heated segments of flat plates cooled by boundary layer flow, Therm. Sci. (2015), http://dx.doi.org/10.2298/ TSCI130128159H.
32. V.D. Zimparov, A.K. da Silva, A. Bejan, Thermodynamic optimization of treeshapedflowgeometries, Int. J. Heat Mass Transfer 49 (9-10) (2006) 1619-1630.
33. V.D. Zimparov, A.K. da Silva, A. Bejan, Thermodynamic optimization of treeshaped flow geometries with constant channel wall temperature, Int. J. Heat Mass Transfer 49 (25-26) (2006) 4839-4849.
34. Z. Xie, L. Chen, F. Sun, Constructal optimization of H-shaped vasculature with convective heat transfer based on minimization of entropy generation rate, J. Therm. Sci. Tech. 10 (3) (2011) 269-277 (in Chinese).
35. S. Lorente, A. Bejan, Heterogeneous porous media as multiscale structures for maximum flow access, J. Appl. Phys. 100 (11) (2006) 114909.
36. H. Zhang, S. Lorente, A. Bejan, Vascularization with line-to-line trees in counterflow heat exchange, Int. J. Heat Mass Transfer 52 (19-20) (2009) 4327-4342.
37. J. Lee, S. Lorente, A. Bejan, Transient cooling response of smart vascular materials for self-cooling, J. Appl. Phys. 105 (6) (2009) 064904.
38. Z. Xie, L. Chen, F. Sun, Constructal entropy generation rate minimization of line-to-line vascular networks with convective heat transfer, Int. J. Therm. Sci. 74 (2013) 72-80.
39. A. Bejan, S. Lorente, K.M. Wang, Networks of channels for self-healing composite materials, J. Appl. Phys. 100 (3) (2006) 033528.
40. S. Kim, S. Lorente, A. Bejan, Vascularized materials: tree-shaped flow architectures matched canopy to canopy, J. Appl. Phys. 100 (6) (2006) 063525.
41. K.M. Wang, S. Lorente, A. Bejan, Vascularization with grids of channels: multiple scales, loops and body shapes, J. Phys. D. Appl. Phys. 40 (15) (2007) 4740-4749.
42. J. Lee, S. Kim, S. Lorente, et al., Vascularization with trees matched canopy to canopy: diagonal channels with multiple sizes, Int. J. Heat Mass Transfer 51 (7-8) (2008) 2029-2040.
43. L.A.O. Rocha, S. Lorente, A. Bejan, Tree-shaped vascular wall designs for localized intense cooling, Int. J. Heat Mass Transfer 52 (19-20) (2009) 4535-4544.
44. K.M.Wang, S. Lorente, A. Bejan, Vascular structures for volumetric cooling and mechanical strength, J. Appl. Phys. 107 (04) (2010) 044901.
45. E. Cetkin, S. Lorente, A. Bejan, Vascularization for cooling a plate heated by a randomly moving source, J. Appl. Phys. 112 (8) (2012) 084906.
46. S. Kim, S. Lorente, A. Bejan, Transient behavior of vascularized walls exposed to sudden heating, Int. J. Therm. Sci. 48 (11) (2009) 2046-2052.
47. E. Cetkin, S. Lorente, A. Bejan, Vascularization for cooling and mechanical strength, Int. J. Heat Mass Transfer 54 (13/14) (2011) 2774-2781.
48. S. Lorente, W. Wechsatol, A. Bejan, Tree-shaped flow structures design by minimizing path length, Int. J. Heat Mass Transfer 45 (16) (2002) 3299-3312.
49. Y. Azoumah, P. Bieupoude, P. Neveu, Optimal design of tree-shaped water distribution network using constructal approach: T-shaped and Y-shaped architectures optimization and comparison, Int. Commun. Heat Mass Transfer 39 (2) (2012) 182-189.
50. C.D. Murray, The physiological principle of minimal work, in the vascular system, and the cost of blood-volume, Acad. Nat. Sci. 12 (3) (1926) 207-214.