Academic Journal

Innovative Python-based numerical and semi-analytical study of Fe3O4/Al2O3 nanofluid performance in a parabolic trough solar collector.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Innovative Python-based numerical and semi-analytical study of Fe3O4/Al2O3 nanofluid performance in a parabolic trough solar collector.
Συγγραφείς: Hajizadeh, Shahryar, Moziraji, Zahra Poolaei, Jalili, Bahram, Jalili, Payam, Ganji, Davood Domiri
Πηγή: European Physical Journal: Special Topics; Apr2026, Vol. 235 Issue 3, p551-571, 21p
Θεματικοί όροι: Solar thermal energy, Nanofluids, Numerical analysis, Subroutines (Computer programs), Parabolic troughs, Python programming language, Finite element method
Περίληψη: The effects of a two-dimensional Williamson nanofluid flow over a stretching sheet within a parabolic trough solar collector (PTSC) are examined in this study. A solar thermal collector carries out the process of absorbing sunlight and converting this radiant energy into useful thermal energy. The use of nanofluids, owing to their potential for enhanced thermal conductivity and heat transfer properties, can improve the energy conversion efficiency of PTSCs under optimized conditions. The boundary-layer equations of the Williamson nanofluid model produce partial differential equations. Through a similarity transformation, the partial differential equations are converted into nonlinear ordinary differential equations. Using Python, the nonlinear ordinary differential equations are solved using the Akbari–Ganji method (AGM) for approximate analytical solutions and the finite element method (FEM) for numerical solutions. This study conducts a performance analysis of PTSC using two nanofluids, ferro-engine oil (Fe 3 O 4 - EO) and alumina–engine oil (Al 2 O 3 - EO) . The influence of porous media parameters indicates a reduction in heat transfer rate due to increased thermal resistance, while altering the velocity distribution based on the permeability of the medium. The concentration of nanoparticles is also adjusted to understand its influence on different performance aspects of the device. An increase in Reynolds number influences momentum transport, while a rise in Brinkman number enhances entropy generation due to viscous dissipation effects. The Al 2 O 3 - EO nanofluid outperforms the Fe 3 O 4 - EO nanofluid in terms of thermodynamic efficiency when tested under the same parameters. The models proposed in this study provide insights into optimizing the efficiency of solar thermal energy systems. This study introduces novel modeling approaches for optimizing the efficiency of solar thermal energy systems, leveraging Williamson nanofluids in PTSC. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1140/epjs/s11734-026-02244-8
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  Label: Title
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  Data: Innovative Python-based numerical and semi-analytical study of Fe3O4/Al2O3 nanofluid performance in a parabolic trough solar collector.
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  Data: <searchLink fieldCode="AR" term="%22Hajizadeh%2C+Shahryar%22">Hajizadeh, Shahryar</searchLink><br /><searchLink fieldCode="AR" term="%22Moziraji%2C+Zahra+Poolaei%22">Moziraji, Zahra Poolaei</searchLink><br /><searchLink fieldCode="AR" term="%22Jalili%2C+Bahram%22">Jalili, Bahram</searchLink><br /><searchLink fieldCode="AR" term="%22Jalili%2C+Payam%22">Jalili, Payam</searchLink><br /><searchLink fieldCode="AR" term="%22Ganji%2C+Davood+Domiri%22">Ganji, Davood Domiri</searchLink>
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  Data: European Physical Journal: Special Topics; Apr2026, Vol. 235 Issue 3, p551-571, 21p
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  Data: <searchLink fieldCode="DE" term="%22Solar+thermal+energy%22">Solar thermal energy</searchLink><br /><searchLink fieldCode="DE" term="%22Nanofluids%22">Nanofluids</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Subroutines+%28Computer+programs%29%22">Subroutines (Computer programs)</searchLink><br /><searchLink fieldCode="DE" term="%22Parabolic+troughs%22">Parabolic troughs</searchLink><br /><searchLink fieldCode="DE" term="%22Python+programming+language%22">Python programming language</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The effects of a two-dimensional Williamson nanofluid flow over a stretching sheet within a parabolic trough solar collector (PTSC) are examined in this study. A solar thermal collector carries out the process of absorbing sunlight and converting this radiant energy into useful thermal energy. The use of nanofluids, owing to their potential for enhanced thermal conductivity and heat transfer properties, can improve the energy conversion efficiency of PTSCs under optimized conditions. The boundary-layer equations of the Williamson nanofluid model produce partial differential equations. Through a similarity transformation, the partial differential equations are converted into nonlinear ordinary differential equations. Using Python, the nonlinear ordinary differential equations are solved using the Akbari–Ganji method (AGM) for approximate analytical solutions and the finite element method (FEM) for numerical solutions. This study conducts a performance analysis of PTSC using two nanofluids, ferro-engine oil (Fe 3 O 4 - EO) and alumina–engine oil (Al 2 O 3 - EO) . The influence of porous media parameters indicates a reduction in heat transfer rate due to increased thermal resistance, while altering the velocity distribution based on the permeability of the medium. The concentration of nanoparticles is also adjusted to understand its influence on different performance aspects of the device. An increase in Reynolds number influences momentum transport, while a rise in Brinkman number enhances entropy generation due to viscous dissipation effects. The Al 2 O 3 - EO nanofluid outperforms the Fe 3 O 4 - EO nanofluid in terms of thermodynamic efficiency when tested under the same parameters. The models proposed in this study provide insights into optimizing the efficiency of solar thermal energy systems. This study introduces novel modeling approaches for optimizing the efficiency of solar thermal energy systems, leveraging Williamson nanofluids in PTSC. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal: Special Topics is the property of Springer Nature 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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              Text: Apr2026
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