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Two energy conservation principles in convective heat transfer optimization

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  • Yuan, Fang
  • Chen, Qun

Abstract

Improving heat transfer performance is very beneficial to energy conservation because heat transfer processes widely existed in energy utilization systems. In this contribution, in order to effectively optimize convective heat transfer, such two principles as the field synergy principle and the entransy dissipation extremum principle are investigated to reveal the physical nature of the entransy dissipation and its intrinsic relationship with the field synergy degree. We first established the variational relations of the entransy dissipation and the field synergy degree with the heat transfer performance, and then derived the optimization equation of the field synergy principle and made comparison with that of the entransy dissipation extremum principle. Finally the theoretical analysis is then validated by the optimization results in both a fin-and-flat tube heat exchanger and a foursquare cavity. The results show that, for prescribed temperature boundary conditions, the above two optimization principles both aim at maximizing the total heat flow rate and their optimization equations can effectively obtain the best flow pattern. However, for given heat flux boundary conditions, only the optimization equation based on the entransy dissipation extremum principle intends to minimize the heat transfer temperature difference and could get the optimal velocity and temperature fields.

Suggested Citation

  • Yuan, Fang & Chen, Qun, 2011. "Two energy conservation principles in convective heat transfer optimization," Energy, Elsevier, vol. 36(9), pages 5476-5485.
  • Handle: RePEc:eee:energy:v:36:y:2011:i:9:p:5476-5485
    DOI: 10.1016/j.energy.2011.07.033
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    References listed on IDEAS

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    1. Chen, Qun & Wang, Moran & Pan, Ning & Guo, Zeng-Yuan, 2009. "Optimization principles for convective heat transfer," Energy, Elsevier, vol. 34(9), pages 1199-1206.
    2. Guo, Jiangfeng & Xu, Mingtian & Cheng, Lin, 2009. "The application of field synergy number in shell-and-tube heat exchanger optimization design," Applied Energy, Elsevier, vol. 86(10), pages 2079-2087, October.
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    Cited by:

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    2. Zhao, Xiaohuan & E, Jiaqiang & Zhang, Zhiqing & Chen, Jingwei & Liao, Gaoliang & Zhang, Feng & Leng, Erwei & Han, Dandan & Hu, Wenyu, 2020. "A review on heat enhancement in thermal energy conversion and management using Field Synergy Principle," Applied Energy, Elsevier, vol. 257(C).
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    6. Hamid, Mohammed O.A. & Zhang, Bo & Yang, Luopeng, 2014. "Application of field synergy principle for optimization fluid flow and convective heat transfer in a tube bundle of a pre-heater," Energy, Elsevier, vol. 76(C), pages 241-253.
    7. Li, Yi & Yuan, Fang & Weng, Rengang & Xi, Fang & Liu, Wei, 2021. "Variational-principle-optimized porosity distribution in gas diffusion layer of high-temperature PEM fuel cells," Energy, Elsevier, vol. 235(C).
    8. Hazarika, Saheera Azmi & Bhanja, Dipankar & Nath, Sujit & Kundu, Balaram, 2015. "Analytical solution to predict performance and optimum design parameters of a constructal T-shaped fin with simultaneous heat and mass transfer," Energy, Elsevier, vol. 84(C), pages 303-316.
    9. Guo, Jiangfeng & Huai, Xiulan, 2012. "Optimization design of recuperator in a chemical heat pump system based on entransy dissipation theory," Energy, Elsevier, vol. 41(1), pages 335-343.
    10. Cheng, Xuetao & Liang, Xingang, 2012. "Optimization principles for two-stream heat exchangers and two-stream heat exchanger networks," Energy, Elsevier, vol. 46(1), pages 386-392.

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