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Multi-objective optimization of geometric parameters for the helically coiled tube using Markowitz optimization theory

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  • Han, Yong
  • Wang, Xue-sheng
  • Zhang, Zhao
  • Zhang, Hao-nan

Abstract

In this research, a novel multi-objective optimization of helically coiled tube (HCT) using Markowitz effective boundary theory was studied. Firstly, the expressions of modified entropy generation number (EGN, Ns,c, Ns,p, Ns) for the HCT was derived. Secondly, the mathematical relation between the heat transfer EGN (Ns,c) and NTU was validated. Then, a novel method to acquire the effective boundary was proposed. Finally, the results of Markowitz optimization were compared with MOGA. The results show that, in comparison between the 2 optimization methods, relative error of heat transfer coefficient using both optimization methods are below ±2%; as for the flow resistance, the relative error of Markowitz effective boundary is still below ±2%, the relative error of MOGA is more than ±2%; there are 3 optimal points in each optimization; when heat transfer coefficient (h) and pressure drop (|Δp|) are selected as the objective functions, the PEC of Markowitz optimization increases by 1.63%, 3.36% and 0.4%, respectively; when heat transfer coefficient (h), pressure drop (|Δp|) and total EGN (Ns) are selected as the objective functions, the PEC of Markowitz optimization increases by 3.25%, 25.47% and 21.97%, respectively. Therefore, the Markowitz optimization is more effective than the MOGA of ANSYS.

Suggested Citation

  • Han, Yong & Wang, Xue-sheng & Zhang, Zhao & Zhang, Hao-nan, 2020. "Multi-objective optimization of geometric parameters for the helically coiled tube using Markowitz optimization theory," Energy, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:energy:v:192:y:2020:i:c:s0360544219322625
    DOI: 10.1016/j.energy.2019.116567
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    References listed on IDEAS

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    Cited by:

    1. Sun, Jinxiang & Zhang, Ruibo & Wang, Mingjun & Zhang, Jing & Qiu, Suizheng & Tian, Wenxi & Su, G.H., 2022. "Multi-objective optimization of helical coil steam generator in high temperature gas reactors with genetic algorithm and response surface method," Energy, Elsevier, vol. 259(C).

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