journal article·2026-06-30Open access

Investigation of thermal conductivity for nano-improved polyethylene glycol composites

Tao Xu, Farag M. A. Altalbawy, Krunal Vaghela, K. N. Raja Praveen, Aditya Kashyap, Kshamta Chauhan, Barno Abdullaeva, DHima Bindu, Prabhat Kumar Sahu, Nargiza Kamolova, Raed H. C. Alfilh, Mehrdad Mottaghi

Discover Nano· Volume 21· Issue 1

Abstract

Accurate prediction of thermal conductivity in (nano-PEG) composites is essential for accelerating thermal management material design. This study develops a hybrid Random Forest (RF) framework optimized using eight evolutionary algorithms, including (PSO), (GA), (WOA), (GWO), (CSA), (FPA), (FA), and (BA). A dataset of 229 experimental observations was used to model thermal conductivity as a function of temperature, PEG molecular weight, nanoparticle concentration, and nanoparticle form. Among evaluated models, the Bat Algorithm-optimized RF (RF-BA) achieved highest predictive efficiency with R 2 = 0.995406, MSE = 0.000196, and AARE = 1.291%, while the PSO-optimized model (RF-PSO) demonstrated the fastest optimization runtime (96.9 s) with competitive accuracy. Correlation and SHAP analyses revealed nanoparticle concentration as the dominant factor governing thermal conductivity (correlation coefficient = 0.75), followed by PEG molecular weight (0.56), temperature (0.33), and nanoparticle form (0.24). The results demonstrate that evolutionarily optimized ensemble learning provides a reliable and computationally efficient strategy for thermophysical property prediction in nano-PEG composites, offering a practical alternative to extensive experimental characterization.
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Research context

OpenAlex topics: Thermal properties of materials · Composite Material Mechanics · Polymer Nanocomposites and Properties

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References (78)

Show source-provided references
1. Sharma R, et al. Developments in organic solid–liquid phase change materials and their applications in thermal energy storage. Energy Convers Manag. 2015;95:193–228.10.1016/j.enconman.2015.01.084 ↗
2. Zhang C et al, Mechanical responses and microscopic irreversible deformation evolution of thermoplastic fiber-reinforced composites under cyclic loading. International Journal of Fatigue, 2025: p. 109327.10.1016/j.ijfatigue.2025.109327 ↗
3. Chen J, Wang D, Fu J. Stiff yet tough, moisture-tolerant, room temperature self-healing and thermoconductive biomimetic nanocomposites. Adv Mater Weinh. 2025;37(42):e07548.10.1002/adma.202507548 ↗
4. Mettawee E-BS, Assassa GM. Experimental study of a compact PCM solar collector. Energy Oxford. 2006;31(14):2958–68.10.1016/j.energy.2005.11.019 ↗
5. Li, X., et al., Hydroxyl-Rich Hyperbranched Polyglycerol Additive for Low-Temperature Aqueous Zinc Batteries: Sustained and Efficient Dehydration and High-Conductivity. Advanced Science, 2025: p. e16639.10.1002/advs.202516639 ↗
6. Ye H, et al. The performance evaluation of shape-stabilized phase change materials in building applications using energy saving index. Appl Energy. 2014;113:1118–26.10.1016/j.apenergy.2013.08.067 ↗
7. Xu B, Li P, Chan C. Application of phase change materials for thermal energy storage in concentrated solar thermal power plants: a review to recent developments. Appl Energy. 2015;160:286–307.10.1016/j.apenergy.2015.09.016 ↗
8. Tu, C., et al., Engineered thermal conduction pathways in high-performance flexible PEG phase-change composites enabling efficient thermal storage and thermoelectric conversion. Chemical Engineering Journal, 2026: p. 172574.10.1016/j.cej.2026.172574 ↗
9. Farid MM, et al. A review on phase change energy storage: materials and applications. Energy Convers Manag. 2004;45(9–10):1597–615.10.1016/j.enconman.2003.09.015 ↗
10. Ling Z, et al. Thermal conductivity of an organic phase change material/expanded graphite composite across the phase change temperature range and a novel thermal conductivity model. Energy Convers Manag. 2015;102:202–8.10.1016/j.enconman.2014.11.040 ↗
11. Sun G, et al. Valorization of PET waste via glycolysis-derived polyol into high performance polyurethane-modified asphalt: performance optimization and sustainability assessment. Int J Adhes Adhes. 2026. https://doi.org/10.1016/j.ijadhadh.2026.104287.10.1016/j.ijadhadh.2026.104287 ↗
12. Minea AA. State of the art in PEG-based heat transfer fluids and their suspensions with nanoparticles. Nanomaterials Basel. 2021;11(1):86.10.3390/nano11010086 ↗
13. Tang B, Qiu M, Zhang S. Thermal conductivity enhancement of PEG/SiO2 composite PCM by in situ Cu doping. Sol Energy Mater Sol Cells. 2012;105:242–8.10.1016/j.solmat.2012.06.012 ↗
14. Wang W, et al. Enhanced thermal conductivity and thermal performance of form-stable composite phase change materials by using β-Aluminum nitride. Appl Energy. 2009;86(7–8):1196–200.10.1016/j.apenergy.2008.10.020 ↗
15. Chereches M, et al. Thermal conductivity of stabilized PEG 400 based nanofluids: An experimental approach. Int Commun Heat Mass Transf. 2022;130:105798.10.1016/j.icheatmasstransfer.2021.105798 ↗
16. Singh R, Sadeghi S, Shabani B. Thermal conductivity enhancement of phase change materials for low-temperature thermal energy storage applications. Energies. 2018;12(1):75.10.3390/en12010075 ↗
17. Liu Z, et al. Novel light–driven CF/PEG/SiO2 composite phase change materials with high thermal conductivity. Sol Energy Mater Sol Cells. 2018;174:538–44.10.1016/j.solmat.2017.09.045 ↗
18. Marcos MA, et al. MWCNT in PEG-400 nanofluids for thermal applications: A chemical, physical and thermal approach. J Mol Liq. 2019;294:111616.10.1016/j.molliq.2019.111616 ↗
19. Marcos MA, et al. PEG 400-based phase change materials nano-enhanced with functionalized graphene nanoplatelets. Nanomaterials. 2017;8(1):16.10.3390/nano8010016 ↗
20. Marcos MA, et al. NePCM based on silver dispersions in poly (ethylene glycol) as a stable solution for thermal storage. Nanomaterials. 2019;10(1):19.10.3390/nano10010019 ↗
21. Cabaleiro D, et al. Thermal and physical characterization of PEG phase change materials enhanced by carbon-based nanoparticles. Nanomaterials. 2020;10(6):1168.10.3390/nano10061168 ↗
22. Qian T, Li J, Feng W. Single-walled carbon nanotube for shape stabilization and enhanced phase change heat transfer of polyethylene glycol phase change material. Energy Convers Manag. 2017;143:96–108.10.1016/j.enconman.2017.03.065 ↗
23. Tang B, et al. PEG/SiO2–Al2O3 hybrid form-stable phase change materials with enhanced thermal conductivity. Mater Chem Phys. 2014;144(1–2):162–7.10.1016/j.matchemphys.2013.12.036 ↗
24. Tang B, et al. A full-band sunlight-driven carbon nanotube/PEG/SiO2 composites for solar energy storage. Sol Energy Mater Sol Cells. 2014;123:7–12.10.1016/j.solmat.2013.12.022 ↗
25. Huang Y, et al. Ultra-stable phase change coatings constructed from dynamic boron ester crosslinked polymers and lipophilic MWCNTs. Chem Eng J. 2025;508:161033.10.1016/j.cej.2025.161033 ↗
26. Liu Y, et al. Effect of amino functional groups on the thermal properties of stearic acid/UiO-66 composite phase change materials: experimental and molecular dynamics simulations. Int J Heat Mass Transfer. 2025;239:126606.10.1016/j.ijheatmasstransfer.2024.126606 ↗
27. Liu Y, et al. Polyethylene glycol/melamine foam composite phase change materials modified by CdS/Ag exhibits high photothermal conversion performance. Desalination. 2024;585:117783.10.1016/j.desal.2024.117783 ↗
28. Niknejadi M, et al. An experimental study on the cooling efficiency of magnetite–water nanofluid in a twisted tube exposed to a rotating magnetic field. J Therm Anal Calorim. 2021;146(4):1893–909.10.1007/s10973-020-10180-5 ↗
29. Farahmand M, et al. Improving the thermal properties of water by adding MWCNTs, cerium oxide, and MgO hybrid nanoparticles at different temperatures and volume fraction of nanoparticles: experimental investigation. Results Eng. 2024;24:103307.10.1016/j.rineng.2024.103307 ↗
30. Esfe, M.H., et al., Combined Convection in a Lid-Driven Cavity with an Inside Obstacle Subjected to Al 2 O 3-Water Nanofluid: Effect of Solid Volume Fraction and Nanofluid Variable Properties. Acta Physica Polonica: A, 2013. 124(4).10.12693/APhysPolA.124.665 ↗
31. Xiaohong D, et al. Statistical estimation the thermal conductivity of MWCNTs-SiO2/Water-EG nanofluid using the ridge regression method. Physica A. 2020;537:122782.10.1016/j.physa.2019.122782 ↗
32. Mahmoodi M, et al. Free convection of a nanofluid in a square cavity with a heat source on the bottom wall and partially cooled from sides. Therm Sci. 2014;18(suppl. 2):283–300.10.2298/TSCI110406011A ↗
33. Pourrajab R, Behbahani M, Mansouri R. Experimental investigation of synergistic thermal conductivity enhancement in water-based hybrid nanofluids with Copper and Boron Nitride nanoparticles: R. Pourrajab et al. J Therm Anal Calorim. 2025;150(10):8015–27.10.1007/s10973-025-14240-6 ↗
34. Pourrajab R, Noghrehabadi A, Behbahani M. Development of Cu/mesoporous SBA-15 nanocomposite in ethylene glycol for thermal conductivity enhancement: heat transfer applications. Int Commun Heat Mass Transfer. 2020;119:104931.10.1016/j.icheatmasstransfer.2020.104931 ↗
35. Pourrajab R, Noghrehabadi A, Behbahani M. Thermo-hydraulic performance of mesoporous silica with Cu nanoparticles in helically grooved tube. Appl Therm Eng. 2021;185:116436.10.1016/j.applthermaleng.2020.116436 ↗
36. Hamid KA, et al. Experimental investigation of thermal conductivity and dynamic viscosity on nanoparticle mixture ratios of TiO2-SiO2 nanofluids. Int J Heat Mass Transfer. 2018;116:1143–52.10.1016/j.ijheatmasstransfer.2017.09.087 ↗
37. Heris SZ, Etemad SG, Esfahany MN. Experimental investigation of oxide nanofluids laminar flow convective heat transfer. Int Commun Heat Mass Transf. 2006;33(4):529–35.10.1016/j.icheatmasstransfer.2006.01.005 ↗
38. Pang Y, et al. Machine learning algorithm optimization for intelligent prediction of rock thermal conductivity: a case study from a whole-cored scientific drilling borehole. Geothermics. 2023;111:102711.10.1016/j.geothermics.2023.102711 ↗
39. Deymi O, et al. Employing ensemble learning techniques for modeling nanofluids’ specific heat capacity. Int Commun Heat Mass Transf. 2023;143:106684.10.1016/j.icheatmasstransfer.2023.106684 ↗
40. Çolak AB, Bayrak M. Comparison of experimental thermal conductivity of water-based Al2O3–Cu hybrid nanofluid with theoretical models and artificial neural network output. J Therm Anal Calorim. 2025;150(4):2865–80.10.1007/s10973-024-13617-3 ↗
41. Çolak AB, Bayrak M. A novel machine learning study: maximizing the efficiency of parabolic trough solar collectors with engine oil-based Copper and Silver nanofluids. Heat Transfer Res. 2024. https://doi.org/10.1615/heattransres.2024053037.10.1615/heattransres.2024053037 ↗
42. Sun Z, et al. Application and development of smart thermally conductive fiber materials. Nanomaterials. 2024;14(2):154.10.3390/nano14020154 ↗
43. Oni O, et al. Development of polymer gel for severely fractured geothermal systems. Processes. 2025;13(11):3632.10.3390/pr13113632 ↗
44. Deymi O, et al. On the evaluation of mono-nanofluids’ density using a radial basis function neural network optimized by evolutionary algorithms. Therm Sci Eng Prog. 2024;53:102750.10.1016/j.tsep.2024.102750 ↗
45. Minea AA, Cherecheş EI. A comparative study on thermal behavior of PEG 400 and two oxide nanocolloids. Therm Sci Eng Prog. 2024;55:102968.10.1016/j.tsep.2024.102968 ↗
46. Kou Y, et al. Thermal analysis and heat capacity study of polyethylene glycol (PEG) phase change materials for thermal energy storage applications. J Chem Thermodyn. 2019;128:259–74.10.1016/j.jct.2018.08.031 ↗
47. Liu Y, et al. Application of machine learning in predicting the thermal conductivity of single-filler polymer composites. Mater Today Commun. 2024;39:109116.10.1016/j.mtcomm.2024.109116 ↗
48. Mohammadi M-R, et al. Modeling residue formation from crude oil oxidation using tree-based machine learning approaches. Sci Rep. 2025;15(1):26264.10.1038/s41598-025-10012-2 ↗
49. Belgiu M, Drăguţ L. Random forest in remote sensing: a review of applications and future directions. ISPRS J Photogramm Remote Sens. 2016;114:24–31.10.1016/j.isprsjprs.2016.01.011 ↗
50. Cutler, A., D.R. Cutler, and J.R. Stevens, Random forests. Ensemble machine learning: Methods and applications, 2012: p. 157–175.10.1007/978-1-4419-9326-7_5 ↗
51. Larestani A, et al. Compositional modeling of the oil formation volume factor of crude oil systems: application of intelligent models and equations of state. ACS Omega. 2022;7(28):24256–73.10.1021/acsomega.2c01466 ↗
52. Mohammadi M-R, et al. Enhancing predictions of coal strength variations induced by CO2 exposure through advanced deep learning and machine learning techniques. Fuel. 2026;407:137210.10.1016/j.fuel.2025.137210 ↗
53. Houssein EH, et al. Major advances in particle swarm optimization: theory, analysis, and application. Swarm Evol Comput. 2021;63:100868.10.1016/j.swevo.2021.100868 ↗
54. Kennedy, J. and R. Eberhart. Particle swarm optimization. ieee.
55. Mathew, T.V., Genetic algorithm. Report submitted at IIT Bombay, 2012. 53.
56. Holland JH. Genetic algorithms. Sci Am. 1992;267(1):66–73.10.1038/scientificamerican0792-66 ↗
57. Mirjalili S, Mirjalili SM, Lewis A. Grey wolf optimizer. Adv Eng Softw. 2014;69:46–61.10.1016/j.advengsoft.2013.12.007 ↗
58. Rezaei H, Bozorg-Haddad O, Chu X. Grey wolf optimization (GWO) algorithm. In: Advanced optimization by nature-inspired algorithms. 2018. p. 81–91.
59. Mirjalili S, Lewis A. The whale optimization algorithm. Adv Eng Softw. 2016;95:51–67.10.1016/j.advengsoft.2016.01.008 ↗
60. Rana N, et al. Whale optimization algorithm: a systematic review of contemporary applications, modifications and developments. Neural Comput Appl. 2020;32:16245–77.10.1007/s00521-020-04849-z ↗
61. Yang X-S, S. Deb. Cuckoo search via Lévy flights. Ieee.
62. Gandomi AH, Yang X-S, Alavi AH. Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng Comput. 2013;29:17–35.10.1007/s00366-011-0241-y ↗
63. Yang X-S. Flower pollination algorithm for global optimization. Springer.
64. Awan MMA, Awan MJ. Adapted flower pollination algorithm for a standalone solar photovoltaic system. Mehran University Research Journal Of Engineering & Technology. 2022;41(4):118–27.10.22581/muet1982.2204.12 ↗
65. Yang X-S. Firefly algorithm, stochastic test functions and design optimisation. Int J Bio Inspired Comput. 2010;2(2):78–84.10.1504/IJBIC.2010.032124 ↗
66. Alyasseri ZAA, et al. Recent advances of bat-inspired algorithm, its versions and applications. Neural Comput Appl. 2022;34(19):16387–422.10.1007/s00521-022-07662-y ↗
67. Xiao C, et al. Strong and tough multilayer heterogeneous pyrocarbon based composites. Adv Func Mater. 2024;34(51):2409881.10.1002/adfm.202409881 ↗
68. Naghizadeh A, et al. Modeling thermal conductivity of hydrogen-based binary gaseous mixtures using generalized regression neural network. Int J Hydrogen Energy. 2024;59:242–50.10.1016/j.ijhydene.2024.01.216 ↗
69. Liu X, et al. Accurate modeling of nano-enhanced polyethylene glycol thermal conductivity using soft computing methods: application to thermal energy storage. Int J Polym Anal Charact. 2025;30(4):457–84.10.1080/1023666X.2025.2477557 ↗
70. Liu B, et al. Stochastic interpretable machine learning based multiscale modeling in thermal conductivity of polymeric graphene-enhanced composites. Compos Struct. 2024;327:117601.10.1016/j.compstruct.2023.117601 ↗
71. Ivorra-Martinez J, et al. Development of P (3HB-co-3HHx) nanohydroxyapatite (nHA) composites for scaffolds manufacturing by means of fused deposition modeling. International Journal of Bioprinting. 2023;10(1):0156.10.36922/ijb.0156 ↗
72. Zhan Z, et al. Effect of in situ polymerization on the thermal stability and enthalpy properties of wood-based composites based on graphene oxide-modified phase change microcapsule. Polym Compos. 2025;46(16):15342–56.10.1002/pc.30133 ↗
73. Thummalapalli SV, et al. Machine learning–enabled direct ink writing of conductive polymer composites for enhanced performance in thermal management and current protection. Energy Storage Materials. 2024;71:103670.10.1016/j.ensm.2024.103670 ↗
74. Lv Q, et al. Modeling thermo-physical properties of hydrogen utilizing machine learning schemes: viscosity, density, diffusivity, and thermal conductivity. Int J Hydrogen Energy. 2024;72:1127–42.10.1016/j.ijhydene.2024.05.280 ↗
75. Akilu S, et al. Machine learning analysis of thermophysical and thermohydraulic properties in ethylene glycol-and glycerol-based SiO2 nanofluids. Sci Rep. 2024;14(1):14829.10.1038/s41598-024-65411-8 ↗
76. Varughese JJ, Ms S. Influence of silane and polyethylene glycol functionalization of boron nitride nanosheets on mechanical and thermal properties of epoxy nanocomposites: machine and deep learning forecasting. Polym Compos. 2025;46(3):2190–208.10.1002/pc.29098 ↗
77. Chen L, et al. Microstructural evolution in graphene nanoplatelets reinforced magnesium matrix composites fabricated through thixomolding process. J Alloys Compd. 2023;940:168824.10.1016/j.jallcom.2023.168824 ↗
78. Wang Y, et al. Friction behavior of biodegradable electrospun polyester nanofibrous membranes. Tribol Int. 2023;188:108891.10.1016/j.triboint.2023.108891 ↗