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Application of field synergy principle for optimization fluid flow and convective heat transfer in a tube bundle of a pre-heater


  • Hamid, Mohammed O.A.
  • Zhang, Bo
  • Yang, Luopeng


The big problems facing solar-assisted MED (multiple-effect distillation) desalination unit are the low efficiency and bulky heat exchangers, which worsen its systematic economic feasibility. In an attempt to develop heat transfer technologies with high energy efficiency, a mathematical study is established, and optimization analysis using FSP (field synergy principle) is proposed to support meaning of heat transfer enhancement of a pre-heater in a solar-assisted MED desalination unit. Numerical simulations are performed on fluid flow and heat transfer characteristics in a circular and elliptical tube bundle. The numerical results are analyzed using the concept of synergy angle and synergy number as an indication of synergy between velocity vector and temperature gradient fields. Heat transfer in elliptical tube bundle is enhanced significantly with increasing initial velocity of the feed seawater and field synergy number and decreasing of synergy angle. Under the same operating conditions of the two designs, the total average synergy angle is 78.97° and 66.31° in circular and elliptical tube bundle, respectively. Optimization of the pre-heater by FSP shows that in case of elliptical tube bundle design, the average synergy number and heat transfer rate are increased by 22.68% and 35.98% respectively.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:energy:v:76:y:2014:i:c:p:241-253
    DOI: 10.1016/

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    References listed on IDEAS

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    Cited by:

    1. Ming-Che Lin & Ruei-Fong Lin, 2022. "Design Analysis of Heat Sink Using the Field Synergy Principle and Multitarget Response Surface Methodology," Energies, MDPI, vol. 15(22), pages 1-13, November.
    2. Wang, Yiping & Fu, Hailing & Huang, Qunwu & Cui, Yong & Sun, Yong & Jiang, Lihong, 2015. "Experimental study of direct contact vaporization heat transfer on n-pentane-water flowing interface," Energy, Elsevier, vol. 93(P1), pages 854-863.
    3. Tian Zhao & Di Liu & Ke-Lun He & Xi Chen & Qun Chen, 2020. "An Integrated Three-Level Synergetic and Reliable Optimization Method Considering Heat Transfer Process, Component, and System," Energies, MDPI, vol. 13(16), pages 1-19, August.
    4. 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).
    5. Hamid, Mohammed O.A. & Zhang, Bo, 2015. "Field synergy analysis for turbulent heat transfer on ribs roughened solar air heater," Renewable Energy, Elsevier, vol. 83(C), pages 1007-1019.

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