Experimental study on + shaped high conductivity constructal channels based on entransy theory

Feng Hui-Jun; Chen Lin-Gen; Xie Zhi-Hui; Sun Feng-Rui

doi:10.7498/aps.65.024401

Abstract

Based on constructal theory and entransy theory, an experimental study on + shaped high conductivity channels in a square body is carried out. Heat conduction performance comparisons of the bodies based on different optimization objectives and different layouts of the high conductivity channels are performed. In the experiment, the materials of the square body and high conductivity channel are epoxy resin and brass, respectively; the brass channel is embedded in the square body. Two square heating boards, closed at the upper and lower sides of the square body, are used to uniformly heat itself. The internal heat generation of the square body is approximately simulated by this method. The square body is placed in a thermal insulation box to reduce the heat dissipation caused by heat convection. The heat generated by the heating boards is absorbed by the outside refrigerator device. A measurement window is set at the front side of the thermal insulation box. The temperature field of the square body is measured by the infrared thermal imager. The peak temperature, average temperature difference, and entransy dissipation rate of the body can be calculated by the measured results, respectively. Experimental results are compared to those obtained by numerical calculations; the results show that for the + shaped high conductivity channels in a square body, the maximum temperatures are located between the two branches of the + shaped high conductivity channels for both experimental result and numerical calculation. The errors in the average temperature and entransy dissipation rate of the body based on the experimental result and numerical calculations are within the acceptable range. The two results verify their validity of the heat conduction constructal optimization. Compared the square body with H shaped high conductivity channel, the entransy dissipation rate of the body caused by heat conduction is reduced by adopting the first order + shaped high conductivity channel. Compared with the optimal constructs of the first order + shaped high conductivity channels based on the minimizations of entransy dissipation rate and maximum temperature difference, the entransy dissipation rate caused by heat conduction of the former construct is reduced by 5.98%, but the maximum temperature difference is increased by 3.57%. The aim of maximum temperature difference minimization helps to improve the thermal safety of a body, while that of the entransy dissipation rate helps to improve the global heat conduction performance of a body. When the thermal safety is permitted, the optimal construct based on entransy dissipation rate minimization can be adopted in the design of practical electronic device to improve its global heat conduction performance.

Keywords:

Authors and contacts

1.
Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, China;Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, China;College of Power Engineering, Naval University of Engineering, Wuhan 430033, China

Corresponding author: Chen Lin-Gen, lingenchen@hotmail.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51356001, 51176203, 51506220).

References

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[32]	Jia H, Liu Z C, Liu W, Nakayama A 2014 Int. J. Heat Mass Transfer 73 124
[33]	Wang Y F, Chen Q 2015 Energy 85 609
[34]	Qian X D, Li Z, Li Z X 2015 Int. J. Heat Mass Transfer 81 252
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[37]	Cheng X T, Liang X G 2015 Int. J. Heat Mass Transfer 81 167
[38]	Wang W H, Cheng X T, Liang X G 2015 Int. J. Heat Mass Transfer 83 536
[39]	Cheng X T, Liang X G 2015 Chin. Phys. B 24 060510
[40]	Wu Y Q 2015 Chin. Phys. B 24 070506
[41]	Wei S H, Chen L G, Sun F R 2008 Sci. China Ser. E: Tech. Sci. 51 1283
[42]	Wei S H, Chen L G, Sun F R 2010 Thermal Sci. 14 1075
[43]	Xiao Q H, Chen L G, Sun F R 2011 Chin. Sci. Bull. 56 2400
[44]	Chen L G, Wei S H, Sun F R 2011 Int. J. Heat Mass Transfer 54 210
[45]	Xiao Q H, Chen L G, Sun F R 2011 Chin. Sci. Bull. 56 102
[46]	Feng H J, Chen L G, Sun F R 2012 Sci. China: Tech. Sci. 55 779
[47]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 J. Energy Inst. 88 188
[48]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 Int. J. Heat Mass Transfer 84 848
[49]	Feng H J 2014 Ph. D. Dissertation (Wuhan: Naval University of Engineering) (in Chinese) [冯辉君 2014 博士学位论文 (武汉: 海军工程大学)]
[50]	Chen L G, Feng H J, Xie Z H, Sun F R 2013 Acta Phys. Sin. 62 134401 (in Chinese) [陈林根, 冯辉君, 谢志辉, 孙丰瑞 2013 62 134401]
[51]	da Silva A K, Bejan A 2006 Int. J. Therm. Sci. 45 860
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Cited By

[1]	Bejan A 2000 Shape and Structure, from Engineering to Nature (Cambridge: Cambridge University Press) pp1-314
[2]	Bejan A, Lorente S 2008 Design with Constructal Theory (New Jersey: Wiley) pp1-516
[3]	Chen L G 2012 Sci. China: Tech. Sci. 55 802
[4]	Bejan A, Lorente S 2013 J. Appl. Phys. 113 151301
[5]	Xie G N, Song Y D, Asadi M, Lorenzini G 2015 Trans. ASME, J. Heat Transfer 137 061901
[6]	Bejan A 2015 Trans. ASME, J. Heat Transfer 137 061003
[7]	Bejan A 1997 Int. J. Heat Mass Transfer 40 799
[8]	Ghodoossi L, Egrican N 2003 J. Appl. Phys. 93 4922
[9]	Wu W J, Chen L G, Sun F R 2007 Appl. Energy 84 39
[10]	Wei S H, Chen L G, Sun F R 2009 Appl. Energy 86 1111
[11]	Lorenzini G, Biserni C, Rocha L A O 2013 Int. J. Heat Mass Transfer 58 513
[12]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 Int. J. Heat Mass Transfer 91 162
[13]	Ghodoossi S, Egrican N 2004 Energy Convers. Mgmt. 45 811
[14]	Chen L G, Wu W J, Sun F R 2014 Int. J. Low-Carbon Tech. 9 256
[15]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 J. Energy Inst. doi: 10.1016/j. joei. 2015.01.016
[16]	Rocha L A O, Lorente S, Bejan A 2002 Int. J. Heat Mass Transfer 45 1643
[17]	Xiao Q H, Chen L G, Sun F R 2011 Int. J. Therm. Sci. 50 1031
[18]	Salimpour M R, Sharifi F, Menbari D 2013 Proc. Inst. Mech. Engng., Part E: J. Process Mech. Engng. 227 231
[19]	Chen L G, Feng H J, Xie Z H, Sun F R 2013 Int. J. Heat Mass Transfer 67 704
[20]	Guo Z Y, Zhu H Y, Liang X G 2007 Int. J. Heat Mass Transfer 50 2545
[21]	Li Z X, Guo Z Y 2010 Field synergy principle of heat convection optimization (Beijing: Science Press) pp78-97 (in Chinese) [李志信, 过增元 2010 对流传热优化的场协同理论(北京: 科学出版社) 第 78-97 页]
[22]	Chen L G 2012 Chin. Sci. Bull. 57 4404
[23]	Chen Q, Liang X G, Guo Z Y 2013 Int. J. Heat Mass Transfer 63 65
[24]	Cheng X T, Liang X G 2013 J. Therm. Sci. Tech. 8 337
[25]	Cheng X T, Liang X G 2014 Chin. Sci. Bull., 59 5309
[26]	Chen L G 2014 Sci. China: Tech. Sci. 57 2305
[27]	Ji J, Liu T, Zhang X, Guo Z Y 2014 Sci. Found. China 6 446 (in Chinese) [纪军, 刘涛, 张兴, 过增元 2014 中国科学基金 6 446]
[28]	Zhu H Y 2007 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese) [朱宏晔 2007 博士学位论文 (北京: 清华大学) ]
[29]	Wang S P, Chen Q L, Zhang B J 2009 Chin. Sci. Bull. 54 3572
[30]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 Acta Phys. Sin. 64 054402 (in Chinese) [冯辉君, 陈林根, 谢志辉, 孙丰瑞 2015 64 054402]
[31]	Tao Y B, He Y L, Liu Y K, Tao W Q 2014 Int. J. Heat Mass Transfer 77 695
[32]	Jia H, Liu Z C, Liu W, Nakayama A 2014 Int. J. Heat Mass Transfer 73 124
[33]	Wang Y F, Chen Q 2015 Energy 85 609
[34]	Qian X D, Li Z, Li Z X 2015 Int. J. Heat Mass Transfer 81 252
[35]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 Acta Phys. Sin. 64 034701 (in Chinese) [冯辉君, 陈林根, 谢志辉, 孙丰瑞 2015 64 034701]
[36]	Hu G J, Cao B Y, Guo Z Y 2011 Chin. Sci. Bull. 56 2974
[37]	Cheng X T, Liang X G 2015 Int. J. Heat Mass Transfer 81 167
[38]	Wang W H, Cheng X T, Liang X G 2015 Int. J. Heat Mass Transfer 83 536
[39]	Cheng X T, Liang X G 2015 Chin. Phys. B 24 060510
[40]	Wu Y Q 2015 Chin. Phys. B 24 070506
[41]	Wei S H, Chen L G, Sun F R 2008 Sci. China Ser. E: Tech. Sci. 51 1283
[42]	Wei S H, Chen L G, Sun F R 2010 Thermal Sci. 14 1075
[43]	Xiao Q H, Chen L G, Sun F R 2011 Chin. Sci. Bull. 56 2400
[44]	Chen L G, Wei S H, Sun F R 2011 Int. J. Heat Mass Transfer 54 210
[45]	Xiao Q H, Chen L G, Sun F R 2011 Chin. Sci. Bull. 56 102
[46]	Feng H J, Chen L G, Sun F R 2012 Sci. China: Tech. Sci. 55 779
[47]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 J. Energy Inst. 88 188
[48]	Feng H J, Chen L G, Xie Z H, Sun F R 2015 Int. J. Heat Mass Transfer 84 848
[49]	Feng H J 2014 Ph. D. Dissertation (Wuhan: Naval University of Engineering) (in Chinese) [冯辉君 2014 博士学位论文 (武汉: 海军工程大学)]
[50]	Chen L G, Feng H J, Xie Z H, Sun F R 2013 Acta Phys. Sin. 62 134401 (in Chinese) [陈林根, 冯辉君, 谢志辉, 孙丰瑞 2013 62 134401]
[51]	da Silva A K, Bejan A 2006 Int. J. Therm. Sci. 45 860
[52]	Fan Z, Zhou X, Luo L, Yuan W 2008 Exp. Therm. Fluid Sci. 33 77

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Vol. 65, Issue 2 - 2016-01-20

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