Global Optimization Research on Parametric Design of Printed Circuit Heat Exchanger Airfoil Plates Based on Integrated Machine Learning and Simulated Annealing.

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Title: Global Optimization Research on Parametric Design of Printed Circuit Heat Exchanger Airfoil Plates Based on Integrated Machine Learning and Simulated Annealing.
Authors: Liu, Shanlin1 (AUTHOR), Gong, Xin1,2 (AUTHOR), Liao, Naibing1 (AUTHOR), Zhou, Shihe2 (AUTHOR), Qiu, Qinggang2 (AUTHOR), Gong, Luyuan2 (AUTHOR) lygong@dlut.edu.cn, Shen, Shengqiang2 (AUTHOR)
Source: Energies (19961073). Sep2026, Vol. 19 Issue 17, p4055. 17p.
Subject Terms: *Simulated annealing, *Surrogate-based optimization, *Thermal hydraulics, *Plate heat exchangers, *Supercritical carbon dioxide, *Gaussian processes, *Random forest algorithms
Abstract: The airfoil channel printed circuit heat exchanger (PCHE) demonstrates significant potential in the field of supercritical carbon dioxide Brayton cycles due to its exceptional heat transfer capability. The channel structure determines the thermal-hydraulic performance of the printed circuit heat exchanger (PCHE). This study proposes an S-shaped airfoil channel. A surrogate model combining random forest (RF) and Gaussian Process Regression (GPR) was proposed, and a machine learning method using the simulated annealing (SA) algorithm was employed to optimize the structural parameters of the S-shaped airfoil channel. The results show that, compared to the baseline straight channel with the NACA0020 airfoil, the optimized channel achieves an 8.4% enhancement in thermal-hydraulic performance. At an inlet flow velocity of 1–2 m/s, the optimized airfoil flow channel exhibits superior heat transfer performance. Flow separation on the airfoil surface can induce local vortices. These vortices effectively reduce the thickness of the boundary layer, making the cross-sectional temperature distribution more uniform and significantly enhancing heat transfer efficiency. This study ultimately lays a solid methodological foundation for the rapid customized design of a new generation of the printed circuit heat exchanger. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 197040536
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Global Optimization Research on Parametric Design of Printed Circuit Heat Exchanger Airfoil Plates Based on Integrated Machine Learning and Simulated Annealing.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Shanlin%22">Liu, Shanlin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gong%2C+Xin%22">Gong, Xin</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liao%2C+Naibing%22">Liao, Naibing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhou%2C+Shihe%22">Zhou, Shihe</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Qiu%2C+Qinggang%22">Qiu, Qinggang</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gong%2C+Luyuan%22">Gong, Luyuan</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> lygong@dlut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Shen%2C+Shengqiang%22">Shen, Shengqiang</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Sep2026, Vol. 19 Issue 17, p4055. 17p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Simulated+annealing%22">Simulated annealing</searchLink><br />*<searchLink fieldCode="DE" term="%22Surrogate-based+optimization%22">Surrogate-based optimization</searchLink><br />*<searchLink fieldCode="DE" term="%22Thermal+hydraulics%22">Thermal hydraulics</searchLink><br />*<searchLink fieldCode="DE" term="%22Plate+heat+exchangers%22">Plate heat exchangers</searchLink><br />*<searchLink fieldCode="DE" term="%22Supercritical+carbon+dioxide%22">Supercritical carbon dioxide</searchLink><br />*<searchLink fieldCode="DE" term="%22Gaussian+processes%22">Gaussian processes</searchLink><br />*<searchLink fieldCode="DE" term="%22Random+forest+algorithms%22">Random forest algorithms</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The airfoil channel printed circuit heat exchanger (PCHE) demonstrates significant potential in the field of supercritical carbon dioxide Brayton cycles due to its exceptional heat transfer capability. The channel structure determines the thermal-hydraulic performance of the printed circuit heat exchanger (PCHE). This study proposes an S-shaped airfoil channel. A surrogate model combining random forest (RF) and Gaussian Process Regression (GPR) was proposed, and a machine learning method using the simulated annealing (SA) algorithm was employed to optimize the structural parameters of the S-shaped airfoil channel. The results show that, compared to the baseline straight channel with the NACA0020 airfoil, the optimized channel achieves an 8.4% enhancement in thermal-hydraulic performance. At an inlet flow velocity of 1–2 m/s, the optimized airfoil flow channel exhibits superior heat transfer performance. Flow separation on the airfoil surface can induce local vortices. These vortices effectively reduce the thickness of the boundary layer, making the cross-sectional temperature distribution more uniform and significantly enhancing heat transfer efficiency. This study ultimately lays a solid methodological foundation for the rapid customized design of a new generation of the printed circuit heat exchanger. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.3390/en19174055
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 4055
    Subjects:
      – SubjectFull: Simulated annealing
        Type: general
      – SubjectFull: Surrogate-based optimization
        Type: general
      – SubjectFull: Thermal hydraulics
        Type: general
      – SubjectFull: Plate heat exchangers
        Type: general
      – SubjectFull: Supercritical carbon dioxide
        Type: general
      – SubjectFull: Gaussian processes
        Type: general
      – SubjectFull: Random forest algorithms
        Type: general
    Titles:
      – TitleFull: Global Optimization Research on Parametric Design of Printed Circuit Heat Exchanger Airfoil Plates Based on Integrated Machine Learning and Simulated Annealing.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Liu, Shanlin
      – PersonEntity:
          Name:
            NameFull: Gong, Xin
      – PersonEntity:
          Name:
            NameFull: Liao, Naibing
      – PersonEntity:
          Name:
            NameFull: Zhou, Shihe
      – PersonEntity:
          Name:
            NameFull: Qiu, Qinggang
      – PersonEntity:
          Name:
            NameFull: Gong, Luyuan
      – PersonEntity:
          Name:
            NameFull: Shen, Shengqiang
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          Dates:
            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 19961073
          Numbering:
            – Type: volume
              Value: 19
            – Type: issue
              Value: 17
          Titles:
            – TitleFull: Energies (19961073)
              Type: main
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