The area-point constructal entransy dissipation rate minimization for a discrete variable cross-section conducting path

International Journal of Low-Carbon Technologies

Volumn 9, Issue 1, 2014, Pages 20-28

  Chen, Lingen ^a   Wei, Shuhuan ^a   Sun, Fengrui ^a  

^a NAVAL UNIVERSITY OF ENGINEERING   (China)

Author keywords

Area point conduction; Constructal theory; Entransy; Entransy dissipation rate; Generalized thermodynamic optimization

Indexed keywords

EID: 84894366259     PISSN: 17481317     EISSN: 17481325     Source Type: Journal    
DOI: 10.1093/ijlct/cts030     Document Type: Article

References (59)

1. Bejan A. Shape and Structure, from Engineering to Nature. Cambridge University Press, 2000.
2. Bejan A, Lorente S. Thermodynamic optimization of flow geometry in mechanical and civil engineering. J Non-Equilib Thermodyn 2001;26:305-54.
3. Rosa RN, Reis AH, Miguel AF. Proceedings of the Symposium Bejan's Constructal Theory of Shape and Structure. University of Evora, 2004.
4. Bejan A, Lorente S. The Constructal Law (La Loi Constructale). L'Harmatan, 2005.
5. Bejan A, Lorente S. Constructal theory of generation of configuration in nature and engineering. J Appl Phys 2006;100:041301.
6. Reis AH. Constructal theory: from engineering to physics, and how flow systems develop shape and structure. Appl Mech Rev 2006;59:269-82.
7. Zhou S, Chen L, Sun F. Constructal entropy generation minimization for heat and mass transfer in a solid-gas reactor based on triangular element. J Phys D Appl Phys 2007;40:3545-50.
8. Wu W, Chen L, Sun F. On the 'area to point' flow problem based on constructal theory. Energy Convers Manage 2007;48:101-5.
9. Zhou S, Chen L, Sun F. Optimization of constructal economics for volume to point transport. Appl Energy 2007;84:505-11.
10. Bejan A, Merkx GW. Constructal Theory of Social Dynamics, 1st edn. Springer, April 2007.
11. Bejan A, Lorente S. Design with Constructal Theory. Wiley, September 2008.
12. Gosselin L, Tye-Gingras M, Mathieu-Potvin F. Review of utilization of genetic algorithms in heat transfer problems. Int J Heat Mass Transfer 2009;52:2169-88.
13. Lorenzini G, Rocha LAO. Geometric optimization of T-Y-shaped cavity according to Constructal design. Int J Heat Mass Transfer 2009;52:4683-8.
14. Lorente S. Vascularized materials as designed porous media. Int J Energy Res 2009;33:211-20.
15. Bejan A, Marden JH. The constructal unification of biological and geophysical design. Phys Life Rev 2009;6:85-102.
16. Bejan A, Lorente S, Miguel AF, et al. Constructal Human Dynamics, Security & Sustainability. IOS Press, 2009.
17. Chen L. Progress in study on constructal theory and its application. Sci China Technol Sci 2012;55:802-20.
18. Bejan A. Constructal-theory network of conducting paths for cooling a heat generating volume. Int J Heat Mass Transfer 1997;40:799-816.
19. Ledezma GA, Bejan A. Constructal three-dimensional trees for conduction between a volume and one point. Trans ASME J Heat Transfer 1998;120:977-84.
20. Neagu M, Bejan A. Constructal-theory tree networks of 'constant' thermal resistance. J Appl Phys 1999;86:1136-44.
21. Neagu M, Bejan A. Three-dimensional tree constructs of 'constant' thermal resistance. J Appl Phys 1999;86:7107-15.
22. Almogbel M, Bejan A. Constructal optimization of nonuniformly distributed tree-shaped flow structures for conduction. Int J Heat Mass Transfer 2001;44:4185-94.
23. Wu W, Chen L, Sun F. Heat-conduction optimization based on constructal theory. Appl Energy 2007;84:39-47.
24. Ledezma GA, Bejan A, Errera MR. Constructal tree networks for heat transfer. J Appl Phys 1997;82:89-100.
25. Zhou S, Chen L, Sun F. Optimization of constructal volume-point conduction with variable cross-section conducting path. Energy Convers Manage 2007;48:106-11.
26. Wei S, Chen L, Sun F. The volume-point constructal optimization for discrete variable cross-section conducting path. Appl Energy 2009;86:1111-8.
27. Karakas A, Camdali U, Tunc M. Constructal optimisation of heat generating volumes. Int J Exergy 2009;6:637-54.
28. Andresen B. Finite-Time Thermodynamics. Physics Laboratory, University of Copenhagen, 1983.
29. Bejan A. Entropy Generation Minimization. Wiley, 1996.
30. Chen L, Wu C, Sun F. Finite time thermodynamic optimization or entropy generation minimization of energy systems. J Non-Equil Thermodyn 1999;24:327-59.
31. Berry RS, Kazakov VA, Sieniutycz S. Thermodynamic Optimization of Finite Time Processes. John Wiley & Sons Ltd., 1999.
32. Chen L, Sun F. Advances in Finite Time Thermodynamics: Analysis and Optimization. Nova Science Publishers, 2004.
33. Sieniutycz S, Jezowski J. Energy Optimization in Process Systems. Elsevier, 2009.
34. Guo Z, Cheng X, Xia Z. Least dissipation principle of heat transport potential capacity and its application in heat conduction optimization. Chin Sci Bull 2003;48:406-10.
35. Guo Z, Zhu H, Liang X. Entransy-a physical quantity describing heat transfer ability. Int J Heat Mass Transfer 2007;50:2545-56.
36. Chen Q, Wang M, Pan N, et al. Irreversibility of heat conduction in complex multiphase systems and its application to the effective thermal conductivity of porous media. Int J Nonlinear Sci Numer Simul 2009;10:57-66.
37. Xia S, Chen L, Sun F. Entransy dissipation minimization for liquid-solid phase processes. Sci China Ser E Technol Sci 2010;53:960-8.
38. Meng J, Liang X, Li Z. Field synergy optimization and enhanced heat transfer by multi-longitudinal vortices flow in tube. Int J Heat Mass Transfer 2005;48:3331-7.
39. Chen Q, Wang M, Pan N, et al. Optimization principles for convective heat transfer. Energy 2009;34:1199-206.
40. Chen Q, Ren J. Generalized thermal resistance for convective heat transfer and its relation to entransy dissipation. Chin Sci Bull 2008;53:3753-61.
41. Wang S, Chen Q, Zhang B. An equation of entransy and its application. Chin Sci Bull 2009;54:3572-8.
42. Wu J, Liang XG. Application of entransy dissipation extremum principle in radiative heat transfer optimization. Sci China Ser E Techol Sci 2008;51:1306-14.
43. Liu X, Meng J, Guo Z. Entropy generation extremum and entransy dissipation extremum for heat exchanger optimization. Chin Sci Bull 2009;54:943-7.
44. Xia S, Chen L, Sun F. Optimization for entransy dissipation minimization in heat exchanger. Chin Sci Bull 2009;54:3587-95.
45. Guo J, Cheng L, Xu M. Entransy dissipation number and its application to heat exchanger performance evaluation. Chin Sci Bull 2009;54:2708-13.
46. Chen L, Chen Q, Li Z. Optimization for a heat exchanger couple based on the minimum thermal resistance principle. Int J Heat Mass Transfer 2009;52:4778-84.
47. Xia S, Chen L, Sun F. Optimal paths for minimizing entransy dissipation during heat transfer processes with generalized radiative heat transfer law. Appl Math Model 2010;34:2242-55.
48. Chen Q, Ren J, Guo Z. Field synergy analysis and optimization of decontamination ventilation designs. Int J Heat Mass Transfer 2008;51:873-81.
49. Chen Q, Ren J, Guo Z. The extremum principle of mass entransy dissipation and its application to decontamination ventilation designs in space station cabins. Chin Sci Bull 2009;54:2862-70.
50. Chen L, Wei S, Sun F. Constructal entransy dissipation minimization for 'volume-point' heat conduction. J Phys D Appl Phys 2008;41:195506.
51. Wei S, Chen L, Sun F. Constructal entransy dissipation minimization for 'volume-point' heat conduction without the premise of optimized last-order construct. Int J Exergy 2010;7:627-39.
52. Chen L, Wei S, Sun F. Constructal entransy dissipation minimization of an electromagnet. J Appl Phys 2009;105:094906.
53. Xie Z, Chen L, Sun F. Constructal optimization on T-shaped cavity based on entransy dissipation minimization. Chin Sci Bull 2009;54:4418-27.
54. Xie Z, Chen L, Sun F. Constructal optimization for geometry of cavity by taking entransy dissipation minimization as objective. Sci China Ser E Technol Sci 2009;52:3504-13.
55. Xia Z, Cheng X, Li Z. Bionic optimization of heat transport paths for heat conduction problems. J Enhanced Heat Transfer 2004;11:119-31.
56. Cheng YH, Lin WK. Geometric optimization of thermoelectric coolers in a confined space using genetic algorithms. Appl Therm Eng 2005;25:2983-97.
57. Xu X, Liang X, Ren J. Optimization of heat conduction using combinatorial optimization algorithms. Int J Heat Mass Transfer 2007;50:1675-82.
58. Biot MA. Variational principle in irreversible thermodynamics with applications to viscoelasiticity. Phys Rev 1955;97:1463-69.
59. Eckert ERG, Drake RM. Analysis of Heat and Mass Transfer. McGraw-Hill, 1972, 19-23.