Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy

Abstract The performance of nanofluids is largely determined by their thermophysical properties. Optimizing these properties can significantly enhance nanofluid performance. This study introduces a hybrid strategy based on computational intelligence to determine the optimal conditions for ternary hy...

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Main Authors: Tao Hai, Ali Basem, As’ad Alizadeh, Pradeep Kumar Singh, Husam Rajab, Chemseddine Maatki, Nidhal Becheikh, Lioua Kolsi, Narinderjit Singh Sawaran Singh, H. Maleki
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-85236-3
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author Tao Hai
Ali Basem
As’ad Alizadeh
Pradeep Kumar Singh
Husam Rajab
Chemseddine Maatki
Nidhal Becheikh
Lioua Kolsi
Narinderjit Singh Sawaran Singh
H. Maleki
author_facet Tao Hai
Ali Basem
As’ad Alizadeh
Pradeep Kumar Singh
Husam Rajab
Chemseddine Maatki
Nidhal Becheikh
Lioua Kolsi
Narinderjit Singh Sawaran Singh
H. Maleki
author_sort Tao Hai
collection DOAJ
description Abstract The performance of nanofluids is largely determined by their thermophysical properties. Optimizing these properties can significantly enhance nanofluid performance. This study introduces a hybrid strategy based on computational intelligence to determine the optimal conditions for ternary hybrid nanofluids. The goal is to minimize dynamic viscosity and maximize thermal conductivity by varying the volume fraction, temperature, and nanomaterial mixing ratio. The proposed strategy integrates machine learning, multi-objective optimization, and multi-criteria decision-making. Three machine learning techniques—GMDH-type neural network, gene expression programming, and combinatorial algorithm—are applied to model dynamic viscosity and thermal conductivity as functions of the input variables. Then, the high-performing models provide the foundation for optimization using the well-established multi-objective particle swarm optimization algorithm. Finally, the decision-making technique TOPSIS is employed to identify the most desirable points from the Pareto front, based on various design scenarios. To validate the proposed strategy, a ternary hybrid nanofluid composed of graphene oxide (GO), iron oxide (Fe₃O₄), and titanium dioxide (TiO₂) was employed as a case study. The results demonstrated that the combinatorial approach excelled in accurately modeling (R = 0.99964–0.99993). The optimization process revealed that optimal VFs span a broad range across all mixing ratios, while optimal temperatures were consistently near the maximum value (65 °C). The decision-making outcomes indicated that the mixing ratio was consistent across all design scenarios, with the volume fraction serving as the key differentiating factor.
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spelling doaj-art-ff92e50d27a64f4cb851265d0539abb12025-01-19T12:19:31ZengNature PortfolioScientific Reports2045-23222025-01-0115112610.1038/s41598-025-85236-3Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategyTao Hai0Ali Basem1As’ad Alizadeh2Pradeep Kumar Singh3Husam Rajab4Chemseddine Maatki5Nidhal Becheikh6Lioua Kolsi7Narinderjit Singh Sawaran Singh8H. Maleki9State Key Laboratory of Public Big Data, Guizhou UniversityFaculty of Engineering, Warith Al-Anbiyaa UniversityDepartment of Civil Engineering, College of Engineering, Cihan University-ErbilDepartment of Mechanical Engineering, Institute of Engineering and Technology, GLA UniversityCollege of Engineering, Department of Mechanical Engineering, Najran UniversityDepartment of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU)Mining Research Center, Northern Border UniversityDepartment of Mechanical Engineering, College of Engineering, University of Ha’ilFaculty of Data Science and Information Technology, INTI International UniversityRenewable Energy Research GroupAbstract The performance of nanofluids is largely determined by their thermophysical properties. Optimizing these properties can significantly enhance nanofluid performance. This study introduces a hybrid strategy based on computational intelligence to determine the optimal conditions for ternary hybrid nanofluids. The goal is to minimize dynamic viscosity and maximize thermal conductivity by varying the volume fraction, temperature, and nanomaterial mixing ratio. The proposed strategy integrates machine learning, multi-objective optimization, and multi-criteria decision-making. Three machine learning techniques—GMDH-type neural network, gene expression programming, and combinatorial algorithm—are applied to model dynamic viscosity and thermal conductivity as functions of the input variables. Then, the high-performing models provide the foundation for optimization using the well-established multi-objective particle swarm optimization algorithm. Finally, the decision-making technique TOPSIS is employed to identify the most desirable points from the Pareto front, based on various design scenarios. To validate the proposed strategy, a ternary hybrid nanofluid composed of graphene oxide (GO), iron oxide (Fe₃O₄), and titanium dioxide (TiO₂) was employed as a case study. The results demonstrated that the combinatorial approach excelled in accurately modeling (R = 0.99964–0.99993). The optimization process revealed that optimal VFs span a broad range across all mixing ratios, while optimal temperatures were consistently near the maximum value (65 °C). The decision-making outcomes indicated that the mixing ratio was consistent across all design scenarios, with the volume fraction serving as the key differentiating factor.https://doi.org/10.1038/s41598-025-85236-3Ternary hybrid nanofluidMachine learningMulti-objective optimizationMulti-criteria decision-makingComputational intelligenceThermophysical properties
spellingShingle Tao Hai
Ali Basem
As’ad Alizadeh
Pradeep Kumar Singh
Husam Rajab
Chemseddine Maatki
Nidhal Becheikh
Lioua Kolsi
Narinderjit Singh Sawaran Singh
H. Maleki
Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy
Scientific Reports
Ternary hybrid nanofluid
Machine learning
Multi-objective optimization
Multi-criteria decision-making
Computational intelligence
Thermophysical properties
title Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy
title_full Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy
title_fullStr Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy
title_full_unstemmed Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy
title_short Optimizing ternary hybrid nanofluids using neural networks, gene expression programming, and multi-objective particle swarm optimization: a computational intelligence strategy
title_sort optimizing ternary hybrid nanofluids using neural networks gene expression programming and multi objective particle swarm optimization a computational intelligence strategy
topic Ternary hybrid nanofluid
Machine learning
Multi-objective optimization
Multi-criteria decision-making
Computational intelligence
Thermophysical properties
url https://doi.org/10.1038/s41598-025-85236-3
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