Analysis of Swirling Flow of Hybrid Nanofluids Due to a Moving Cylinder With Temperature‐Dependent Thermal Conductivity Through Machine Learning Algorithms.

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Title: Analysis of Swirling Flow of Hybrid Nanofluids Due to a Moving Cylinder With Temperature‐Dependent Thermal Conductivity Through Machine Learning Algorithms.
Authors: Niaz, Sidra1 (AUTHOR), Azhar, Muhammad1 (AUTHOR) azharmath@aus.edu.pk, Mujahid, Zeeshan1 (AUTHOR), Abbas, Syed Zaheer2 (AUTHOR) zaheer@hu.edu.pk, Ayed, Hamdi3 (AUTHOR)
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Apr2026, Vol. 106 Issue 4, p1-28. 28p.
Subjects: Nanofluids, Machine learning, Numerical analysis, Thermal conductivity, Non-Newtonian fluids, Heat transfer, Swirling flow, Energy dissipation
Abstract: The current work is motivated to study the flow characteristics and transfer of heat in the occurrence of tiny‐sized solid particles, which are utilized to improve the thermo‐physical features of the base fluid through machine learning. In this work, the significant consequences of viscous dissipation are due to a swirling flow of hybrid nano‐fluid on a stretched cylinder. The non‐Newtonian working medium's effect on the flow structure, heat transfer, and entropy generation performance is investigated by means of partial differential governing equations. The thermal radiation impacts and temperature‐dependent variable conductivity are also characterized. Swirling flow and slip impacts are considered in this study. The base fluid (ethylene glycol C6H6O2)${{C}_6}{{H}_6}{{O}_2})$ with nanoparticles of copper (Cu$Cu$) and titanium dioxide (TiO2$Ti{{O}_2}$) is adopted in this communication. The boundary flow equations formulated in the present model are converted into ODEs through the application of appropriately modified variables. Furthermore, two distinct numerical techniques are applied to solve the system of ODEs derived from modeled PDEs. A bvp4c algorithm built‐in computational technique in MATLAB is used to numerically calculate the dimensionless nonlinear ODEs. For comparative analysis, artificial intelligence based neural network back propagation Levenberg Marquardth scheme is used. The two methods yielded matching numerical and visual outcomes, confirming the strong consistency and dependability of the computational system. The physical inspirations of prominent parameters against the velocity profile and temperature distribution are analyzed through graphs and tabular data. [ABSTRACT FROM AUTHOR]
Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
  Group: Ti
  Data: Analysis of Swirling Flow of Hybrid Nanofluids Due to a Moving Cylinder With Temperature‐Dependent Thermal Conductivity Through Machine Learning Algorithms.
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  Data: <searchLink fieldCode="DE" term="%22Nanofluids%22">Nanofluids</searchLink><br /><searchLink fieldCode="DE" term="%22Machine+learning%22">Machine learning</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+conductivity%22">Thermal conductivity</searchLink><br /><searchLink fieldCode="DE" term="%22Non-Newtonian+fluids%22">Non-Newtonian fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Swirling+flow%22">Swirling flow</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The current work is motivated to study the flow characteristics and transfer of heat in the occurrence of tiny‐sized solid particles, which are utilized to improve the thermo‐physical features of the base fluid through machine learning. In this work, the significant consequences of viscous dissipation are due to a swirling flow of hybrid nano‐fluid on a stretched cylinder. The non‐Newtonian working medium's effect on the flow structure, heat transfer, and entropy generation performance is investigated by means of partial differential governing equations. The thermal radiation impacts and temperature‐dependent variable conductivity are also characterized. Swirling flow and slip impacts are considered in this study. The base fluid (ethylene glycol C6H6O2)${{C}_6}{{H}_6}{{O}_2})$ with nanoparticles of copper (Cu$Cu$) and titanium dioxide (TiO2$Ti{{O}_2}$) is adopted in this communication. The boundary flow equations formulated in the present model are converted into ODEs through the application of appropriately modified variables. Furthermore, two distinct numerical techniques are applied to solve the system of ODEs derived from modeled PDEs. A bvp4c algorithm built‐in computational technique in MATLAB is used to numerically calculate the dimensionless nonlinear ODEs. For comparative analysis, artificial intelligence based neural network back propagation Levenberg Marquardth scheme is used. The two methods yielded matching numerical and visual outcomes, confirming the strong consistency and dependability of the computational system. The physical inspirations of prominent parameters against the velocity profile and temperature distribution are analyzed through graphs and tabular data. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/zamm.70378
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 28
        StartPage: 1
    Subjects:
      – SubjectFull: Nanofluids
        Type: general
      – SubjectFull: Machine learning
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Thermal conductivity
        Type: general
      – SubjectFull: Non-Newtonian fluids
        Type: general
      – SubjectFull: Heat transfer
        Type: general
      – SubjectFull: Swirling flow
        Type: general
      – SubjectFull: Energy dissipation
        Type: general
    Titles:
      – TitleFull: Analysis of Swirling Flow of Hybrid Nanofluids Due to a Moving Cylinder With Temperature‐Dependent Thermal Conductivity Through Machine Learning Algorithms.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Niaz, Sidra
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          Name:
            NameFull: Azhar, Muhammad
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            NameFull: Mujahid, Zeeshan
      – PersonEntity:
          Name:
            NameFull: Abbas, Syed Zaheer
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            NameFull: Ayed, Hamdi
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          Dates:
            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00442267
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              Value: 106
            – Type: issue
              Value: 4
          Titles:
            – TitleFull: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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