Thermal Conductivity Models for Polymer ‎Stabilized Hybrid Nanofluids Prepared by ‎One-Step Method

Document Type : Research Paper


1 Department of Physics, Faculty of Science and Humanities, Hindustan Institute of Technology ‎and Science (Deemed to be University),P.O. Box 1, Padur, Chennai, Tamil Nadu, India

2 Department of Mechanical Engineering, Faculty of Mechanical Sciences, ‎ Hindustan Institute of Technology and Science (Deemed to be University), P. O. Box 1, Padur, Chennai, Tamil Nadu, India

3 Department of Chemistry, Faculty of Science and Humanities, Hindustan Institute of Technology and Science (Deemed to be University), P. O. Box 1, Padur, Chennai, Tamil Nadu, India

4 Department of Physics, Hindustan Institute of Technology and Science (Deemed to be University), Padur, Chennai, Tamil Nadu, India 603 103.


   Polyvinyl alcohol (PVA)-ZnO hybrid nanofluid (HNF) was prepared by a one-step chemical method. The structure of PVA-ZnO nanocomposite was concluded by XRD analysis. The stability of HNF was investigated by spectral absorbency analysis and photographic capture methods. 1 wt% PVA capped ZnO nanofluid was stable for 45 days. Zeta potential measurements confirmed that the enhanced stability of PVA-ZnO HNF is due to steric stabilization offered by the polymer. The thermal conductivity of HNFs was predicted by applying the Mixture rule to the conventional Maxwell and Xue models. The theoretical values predicted by the above models were in good agreement with the experimental values. However, it increased steeply with the onset of percolation and it exhibited an additive behaviour under percolation. Thermal conductivity of the prepared hybrid nanofluids increased with temperature and maximum thermal conductivity of the hybrid nanofluids was observed at 60oC with 0.009 weight% of solid dispersant. Theoretical models were used to explain the thermal conductivity of hybrid nanofluids in contrast to most of the reported work which has used empirical correlations. The additive model satisfactorily explained the thermal conductivity of hybrid nanofluids under percolation. TEM micrograph showed the formation of heat conducting path due to onset of percolation in PVA-ZnO HNF resulting 22.5% increase in thermal conductivity due to synergistic effect.


Main Subjects

  1. Said, Z., Sharma, P., Tiwari, A. K., Le, V. , Huang, Z., V. G. Bui, Hoang, A. T., ” Application of novel framework based on ensemble boosted regression trees and Gaussian process regression in modelling thermal performance of small-scale Organic Rankine Cycle (ORC) using hybrid nanofluids”, Journal of Cleaner Production, 360 (2022) 132194.
  2. Sharma, P., Said, Z.,  Kumar, A., Nižetić, S., Pandey, A., Hoang, A. T., Huang, Z., Afzal, A.,  Li, C., Le, A. T., Nguyen, X. P., Tran, V. D., “ Recent Advances in Machine Learning Research for Nanofluid-Based Heat Transfer in Renewable Energy System”, Energy Fuels; 36 (2022) 6626-6658.
  3. Dolatabadi, N., Rahmani, R., Rahnejat, H., Garner, C. P., “Thermal conductivity and molecular heat transport of nanofluids”, RSC Advances; 9 (2019) 2516.
  4. Nabil, M. F., Azmi, W. H., Hamida, K.A., Zawawi, N. N. M., Priyandoko, G., Mamat, R., “Thermo-physical properties of hybrid nanofluids and hybrid nanolubricants: A comprehensive review on performance”, International Communications in Heat and Mass Transfer, 83 (2017) 30-39.
  5. Sheikholeslami, M. , Farshad, A., “Nanoparticles transportation with turbulent regime through a solar collector with helical tapes”,  Advanced Powder Technology, 33 (2022) 103510
  6. Sheikholeslami, ., “Numerical investigation of solar system equipped with innovative turbulator and hybrid nanofluids”, Solar Energy Materials and  Solar Cells, 243 (2022) 111786
  7. Sheikholeslami, M.., Ebrahimpour, Z., “Nanofluid performance in a solar LFR system involving turbulator applying numerical simulation”, Advanced Powder Technology, 33 (2022) 103669.
  8. Yang, L., Ji, W., Mao, M., Huang, J-N., “An updated review on the properties, fabrication and application of hybrid-nanofluids along with their environmental effects”, Journal of Cleaner Production, 257 (2017)
  9. Verma, R., Gupta, K. K., “An insight of synthesis, stability and thermophysical properties of hybrid nanofluids”, IOP Conference Series: Materials Science, (2020) 810, 2nd International Conference on Emerging trends in Manufacturing, Engines and Modelling (ICEMEM -2019) 23-24 December 2019, Mumbai, India.
  10. Xiong, Q., Altnji, S., Tayebi, T., Izadi, M., Hajjar, A., Sundén, B. Li, L. K. B.,“A comprehensive review on the application of hybrid nanofluids in solar energy collectors”, Sustainable Energy Technologies Assessments, 47 (2021) 101341
  11. Encapsulation of Active Molecules and Their Delivery System Edited by: Sonawane, S. H., Bhanvase, B. A., Sivakumar, M., in “Nanofluids-based delivery system, encapsulation of nanoparticles for stability to make stable nanofluids, Thakur, P. Bhanvase, B. A, (2020).
  12. Yu, F., Chen, Y., Liang, X., Xu, J., Lee, C., Liang, Q., Tao, P., Deng, T., “Dispersion stability of thermal nanofluids”, Progress in Natural Science, 27 (2017) 531-542.
  13. Yu, W., Xie, H., “A review on nanofluids: preparation, stability mechanisms, and applications”, Journal of Nanomaterials, 435873 (2012) 1–17.
  14. Tang, E., Cheng, G., Ma, X., Pang, X., Zhao, Q., “Surface modification of zinc oxide nanoparticle by PMAA and its dispersion in aqueous system”, Applied Surface Science, 252 (2006) 5227–5232.
  15. Sahooli, M., Sabbaghi, S., Shariaty, N. M., “Preparation of CuO/Water Nanofluids Using Polyvinylpyrolidone and a Survey on Its Stability and Thermal Conductivity”. International Journal of Nanoscience and Nanotechnology, 8 (2012) 27-34.
  16. Jung-Yeul, J., Eung, S. K., Yong, T. K., “Stabilizer effect on CHF and boiling heat transfer coefficient of alumina/water nanofluids”, International Journal of Heat and Mass Transfer, 55 (2012) 1941-1946. DOI:10.1016/j.ijheatmasstransfer.2011.11.049
  17. Annie, A. A., Harris, D. G. S., Parthasarathy, V., Kiruthiga, K., “A facile one pot synthesis of highly stable PVA–CuO hybrid nanofluid for heat transfer application”, Chemical Engineering Communications, 207 (2020a) 319-330.
  18. Annie, A. A., Harris, D. G. S., Parthasarathy, V., “Wet Chemical Synthesis of CuO-PVA Hybrid Nanofluid Stabilized by Steric Repulsion”, Asian Journal of Chemistry, 32 (2020b) 570-574.
  19. Maji, N. C., Krishna, H. P., Chakraborty, J., “Low-cost and high-throughput synthesis of copper nanopowder for nanofluid applications”, Chemical Engineering Journal, 353 (2018) 34-45.
  20. Pavithra, K. S., Gurumurthy, C., Yashoda, M. P., Mateti, T., Ramam, K., Nayak, R., Murari, M. S., “Polymer‑dispersant‑stabilized Ag nanofluids for heat transfer Applications”, Journal of Thermal Analysis and Calorimetry, 146 (2021) 601–610.
  21. Kumar, D. D. and Arasu, A. V., “A comprehensive review of preparation, characterization, properties and stability of hybrid nanofluids”, Renewable and Sustainable Energy Reviews,81 (2018) 1669-1689.
  22. Shenoy, U. S., Shetty, A. N., “Simple glucose reduction route for one-step synthesis of copper nanofluids”, Applied Nanoscience, 4 (2014) 47–54.
  23. Babar, H., Ali, H. M., “Towards hybrid nanofluids: Preparation, thermophysical properties, applications, and challenges”, Journal of Molecular Liquids, 281 (2019) 598–633.
  24. Maxwell, J. C. “A Treatise on Electricity and Magnetism”, vol. 1, Clarendon Press, Oxford (1881).
  25. Xue, Q. Z., “Model for thermal conductivity of carbon nanotube-based composites”, Physica B, 368 (2005) 302-307.
  26. Sirelkhatim, A., Mahmud, S., Seeni, A., Kaus, H. M., Ann, L. C., Bakhori, S. K. M., Hasan, M. D. “Review on Zinc Oxide Nanoparticles: Antibacterial Activity and Toxicity Mechanism”, Nano-Micro Letters, 7 (2015) 219–242.
  27. Bo/jesen, E. D., So/ndergaard, M., Christensen, M., Iversen, B. B., “Particle size effects on the thermal conductivity of ZnO”, AIP Conference Proceedings, 1449 (2012) 335.
  28. Choudhary, S. Sachdeva, A., Kumar, P., “Influence of stable zinc oxide nanofluid on thermal characteristics of flat plate solar collector. Renewable Energy, 152, (2020) 1160-1170.
  29. Sheikholeslami, M. “Numerical analysis of solar energy storage within a double pipe utilizing nanoparticles for expedition of melting”, Solar Energy Materials and Solar Cells, 245 (2022) 111856
  30. Mallakpour, S., Dinari, M. and Azadi, E., “Poly (vinylalcohol) Chains Grafted onto the Surface of Copper Oxide Nanoparticles: Application in Synthesis and Characterization of Novel Optically Active and Thermally Stable Nanocomposites Based on Poly (amide-imide) Containing N-trimellitylimido-L-valine Linkage”, International Journal of Polymer Analysis and Characterization, 20 (2015) 82-97.
  31. Ramesh, C., Hariprasad, M., Ragunathan, V., Jayakumar, N. “A novel route for synthesis and characterization of green Cu2O/PVA nanocomposites”, European Journal of Applied Eng. Sci. Res., 1 (2012) 201–
  32. Bay, M. A., Khademieslam, H.., Bazyar, B.,  Najafi, ,  Hemmasi, A.H., “Mechanical and Thermal Properties of Nanocomposite Films Made of Polyvinyl Alcohol/Nanofiber Cellulose and Nanosilicon Dioxide using Ultrasonic Method”, International Journal of Nanoscience and Nanotechnology, 17(2021) 65-76.
  33. Zhang, L., Jiang, Y., Ding, Y., Povey, M., York, D., “Investigation into the antibacterial behaviour of suspensions of ZnO nanoparticles (ZnO nanofluids)”, Journal of Nanoparticle Research, 9 (2007) 479–489.
  34. Li, H., Wang, L., He, Y., Hu, Y., Zhu, J. and Jiang, B., “Experimental investigation of thermal conductivity and viscosity of ethylene glycol based ZnO nanofluids”, Applied Thermal Engineering, 88 (2015) 363-368.
  35. Singh, D. K., Pandey, D. K., Yadav, R. R., Singh, D., “A study of nanosized zinc oxide and its nanofluids”, PRAMANA-Journal of Physics, 78 (2012) 759–766.
  36. Sagadevan, S., Shanmugam, S., “A Study of Preparation, Structural, Optical, and Thermal Conductivity Properties of Zinc Oxide Nanofluids”, Journal of Nanomedicine and Nanotechnology, S6 (2015) 003.
  37. Nagvenkar, A. P., Deokar, A., Perelshtein, I., Gedanken, A., “A one-step sonochemical synthesis of stable ZnO-PVA nanocolloid as a potential biocidal agent”, Journal of Materials Chemistry B, 4 (2016) 2124-2132. 
  38. Akilu, S., Sharma, K.V., Baheta, A. T., Mamat, R. A., “Review of Thermophysical Properties of Water Based Composite Nanofluids”, Renewable and Sustainable Energy Reviews, 66 (2016) 654–678.
  39. Sheikholeslami, M. Jafaryar, M. BarzegarGerdroodbary, Amir H. Alavi, “Influence of novel turbulator on efficiency of solar collector system”, Environmental Technology & Innovation, (2022) 102383
  40. Esfe, M. H., Arani, A. A. A., Badi, R. S., Rejvani, M., “ANN modeling, cost performance and sensitivity analyzing of thermal conductivity of DWCNT–SiO 2/EG hybrid nanofluid for higher heat transfer”, Journal of Thermal Analysis and Calorimetry, 131 (2018) 2381–93.
  41. Yıldız,, Arıcı, M., Karabay, H. “Comparison of a theoretical and experimental thermal conductivity model on the heat transfer performance of Al2O3-SiO2/water hybrid-nanofluid”, Int International Journal of Heat and Mass Transfer, 140 (2019) 598-605.
  42. Pourrajab, R., Noghrehabadi, A., Hajidavalloo,, Behbahan, M., “Investigation of thermal conductivity of a new hybrid nanofluids based on mesoporous silica modified with copper nanoparticles: Synthesis, characterization and experimental study”, J. Mol. Liq., 300 (2020) 112337.
  43. Hamilton, R. L., Crosser, O. K, “Thermal conductivity of heterogeneous two-component systems”, Industrial Engineering and Chemistry Fundamentals, 1 (1962) 187–191.
  44. Kumar, R., Kumar, R., Sheikholeslami, M., Chamkha, A. J., “Irreversibility analysis of the three dimensional flow of carbon nanotubes due to nonlinear thermal radiation and quartic chemical reactions”, Journal of Molecular Liquids, 274 (2019) 379-392.
  45. Takabi, B., Salehi, S., “Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluids”, Advance in Mechanical Engineering, (2014) 147059.
  46. Subramaniyan, A. and Ilangovan, R., “Thermal Conductivity of Cu2O-TiO2 Composite -Nanofluid Based on Maxwell model”, International Journal of Nanoscience and Nanotechnology, 11 (2015) 59-62
  47. Sheikholeslami, M., Jafaryar, M., Gerdroodbary, M. B., Alavi, A. H., “Influence of novel turbulator on efficiency of solar collector system”, Environmental Technology and Innovation, 26 (2022) 102383.
  48. Okonkwo, E. C., Wole‑Osho, I., Almanassra, I. W., Abdullatif, Y. M. and Al‑Ansari, T. An updated review of nanofluids in various heat transfer devices. Therm, Anal. Calor., 145 (2021) 2817-2872
  49. Kakarndee, S., Nanan, S., “SDS capped and PVA capped ZnO nanostructures with high photocatalytic performance toward photo degradation of reactive red (RR141) azo dye”, Journal of Environmetal Chemical Engineering, 6 (2018) 74–94.
  50. Hemalatha, K. S., Rukmani, K., Suriyamurthy, N., Nagabhushana, B. M., “Synthesis, characterization and optical properties of hybrid PVA–ZnO nanocomposite: A composition dependent study”, Materials Research Bulletin, 51 (2014) 438–446.
  51. Suganthi, K. S., Rajan, K. S., “Metal oxide nanofluids: Review of formulation, thermo-physical properties, mechanisms, and heat transfer performance”, Renewable and Sustainable Energy Reviews, 76 (2017) 226–255.
  52. Yua, F., Chena, Y., Liang, X., Xua, J., Lee, C., Liang, Q., Taoa, P., Denga, T., “Dispersion stability of thermal nanofluids”, Progress in Natural Science: Materials International, 27 (2017) 531–542.
  53. Bhagat, U. K., More, P.V., Khanna, P. K., “Study of Zinc Oxide Nanofluids for Heat Transfer Application”, SAJ Nanoscience and Nanotechnology, (2015) 101.
  54. Ghozatloo, A., Niassar, M. S., Rashidi, A., “Effect of Functionalization Process on Thermal Conductivity of Graphene Nanofluids” International Journal of Nanoscience and Nanotechnology,13 (2017) 11-18.
  55. Jiang, J., Oberdörster, G., Biswas, P., “Characterization of size, surface charge, and agglomeration state of nanoparticle dispersions for toxicological studies”, Journal of Nanoparticle Research, (2009) 11 77–89.
  56. Almeida, T .C. A., Larentis, A. L., Ferraz, H. C., “Evaluation of the Stability of Concentrated Emulsions for Lemon Beverages Using Sequential Experimental Designs”,PLOS ONE, 10 (2015) e0118690.
  57. Kouchakzadeh,, Shojaosadati, S. A., Maghsoudi, A., Farahani, E. V., “Optimization of PEGylation Conditions for BSA Nanoparticles Using Response Surface Methodology”, AAPS PharmSciTech, 11 (2010), 1206-1211.
  58. Kanti, P. K, Sharma, K. V., Said, Z.,  Jamei , M., Yashawantha, K. M., “Experimental investigation on thermal conductivity of fly ash nanofluid and fly ash-Cu hybrid nanofluid: prediction and optimization via ANN and MGGP model”, Particlulate Science and Technology, 40 (2021) 182-195
  59. Kanti, P., Sharma, K. V., Ramachandra, C. G., Azmi, W. H., “Experimental determination of thermo physical properties of Indonesian fly-ash nanofluid for heat transfer applications”, Particlulate Science and Technology, 39 (2021) 597-606.