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Magneto-thermal analysis of ternary nanofluids with ESHS and Joule heating

  • Chandrakala Panguluri ORCID logo EMAIL logo and Srinivasa Rao Vempati
Published/Copyright: November 7, 2025
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Abstract

This study examines mass and heat transfer in a permeable ternary nanofluid flow over a stretching sheet, considering the combined effects of a chemical reaction, Joule heating, an exponentially space-dependent heat source, and an inclined magnetic field. Three types of water-based nanofluids are analysed: mono (Cu), hybrid (Cu + Al2O3), and ternary (Cu + Al2O3 + Ag). The governing nonlinear partial differential equations are reduced using similarity transformations and solved numerically via MATLAB’s BVP4c method. The results reveal that ternary nanofluids exhibit superior thermal performance, with significantly higher temperature profiles compared to mono and hybrid nanofluids. The influence of key parameters is also investigated. Increased suction and velocity slip reduce thermal and concentration boundary layers, while higher Biot numbers and heat source intensity enhance temperature profiles. Additionally, Joule heating and magnetic field inclination intensify the heat transfer rate. These findings provide valuable insights for optimizing thermal systems in applications such as solar energy collectors, thermoelectric devices, and chemical processing industries.


Corresponding author: Chandrakala Panguluri, Department of Mathematics School of Engineering, Anurag University, Hyderabad, Telangana, India, E-mail:

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: P.C.K. developed the theoretical framework, performed the numerical simulations, analyzed the results, and prepared the initial manuscript draft. V.S.R. critically reviewed and revised the manuscript for intellectual content.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest:The authors state no conflict of interest

  6. Research funding: No funding, grants, or other financial support were received to prepare this manuscript.

  7. Data availability: No research data are available outside the submitted manuscript. All relevant information is included within the manuscript itself.

References

1. Choi, SUS. Enhancing thermal conductivity of fluids with nanoparticles. ASME Int Mech Eng Congr Expo 1995;66:99–105. https://doi.org/10.1115/imece1995-0926.Search in Google Scholar

2. Xie, N, et al.. Nanoparticles in construction materials: thermal properties. Constr Build Mater 2011;25:2406–12.Search in Google Scholar

3. Sheikholeslami, M, Ganji, DD, Ellahi, R. Numerical investigation of magnetohydrodynamic nanofluid natural convection in a cubic cavity. Int J Heat Mass Transfer 2016;95:71–82.Search in Google Scholar

4. Said, Z, Saidur, R, Rahim, NA. Optical properties of metal oxides based nanofluids. Int Commun Heat Mass Transfer 2014;59:46–54. https://doi.org/10.1016/j.icheatmasstransfer.2014.10.010.Search in Google Scholar

5. Shi, X, Li, S, Wei, Y, Gao, J. Numerical investigation of laminar convective heat transfer and pressure drop of water-based Al₂O₃ nanofluids in a microchannel. Int Commun Heat Mass Transfer 2018;90:111–20.10.1016/j.icheatmasstransfer.2017.11.007Search in Google Scholar

6. Yang, D, Ahmad, S, Ali, K, Algarni, S, Alqahtani, T, Jamshed, W, et al.. CFD analysis of paraffin-based hybrid (Co–Au) and trihybrid (Co–Au–ZrO2) nanofluid flow through a porous medium. Nanotechnol Rev 2024;13:20240024. https://doi.org/10.1515/ntrev-2024-0024.Search in Google Scholar

7. Ahmed, A, et al.. Theoretical modeling of ternary hybrid nanofluids for heat transfer enhancement. Alex Eng J 2022;61:1339–52.Search in Google Scholar

8. Singh, RP, et al.. Enhanced heat transfer rate on the flow of hybrid nanofluid through a rotating vertical cone: a statistical analysis. J Therm Anal Calorim 2024;147:173–89.Search in Google Scholar

9. Maleki, H, et al.. Significant statistical model of heat transfer rate in radiative Carreau tri-hybrid nanofluid with entropy analysis. Therm Sci Eng Prog 2025;45:101643.Search in Google Scholar

10. Pattnaik, PK, Mishra, SR, Shamshuddin, MD, Panda, S, Baithalu, R. Effect of Arrhenius activation energy on two-phase nanofluid flow: optimization and sensitivity. Sci Rep 2024;13:14250.Search in Google Scholar

11. Sahoo, N, Kumar, P. Effective heat transfer rate in radiating micropolar nanofluid over an expanding sheet with slip effects. Case Stud Therm Eng 2024;46:103039.Search in Google Scholar

12. Sharma, M, Mondal, B. Spectral quasi-linearization on bioconvection Casson nanofluid. J Mol Liq 2024;396:123231.Search in Google Scholar

13. Sardar, MH, Dadheech, R. Dissipative heat in radiative micropolar hybrid nanofluid over a wedged surface. Chin J Phys 2025;85:204–15.Search in Google Scholar

14. Khan, A, et al.. Ferromagnetic effect on Casson nanofluid flow across Riga sensor device. Comput Math Appl 2025;107:173–90.Search in Google Scholar

15. Swain, S, et al.. Magnetic dissipation on radiative hybrid nanofluid flow. J Thermophys Heat Transfer 2025;39:284–96.Search in Google Scholar

16. Senapati, M, Parida, SK, Dash, GC. Analytical study of MHD free convective flow in a composite medium between coaxial vertical cylinders partially filled with porous material. In: Mishra, SR, Dhamala, TN, Makinde, OD, editors. Recent trends in Applied Mathematics. Lecture Notes in Mechanical Engineering. Singapore: Springer; 2021. 10.1007/978-981-15-9817-3_27Search in Google Scholar

17. Mackolil, J, . Inclined magnetic field and nanoparticle aggregation effects on thermal Marangoni convection in nanoliquid: a sensitivity analysis. Chinese J Phys 2021;69:24–37. https://doi.org/10.1016/j.cjph.2020.11.006.Search in Google Scholar

18. Tulu, A, Asefa, L, Sohail, M. Unsteady MHD hybrid nanofluid flow over a rotating disk with viscous dissipation and Cattaneo–Christov heat flux model. Int. J. Thermofluids 2024;19:100586.10.1016/j.ijft.2024.100586Search in Google Scholar

19. Gupta, D Kumar, L Bég, OA Singh, B. Finite-element simulation of mixed convection flow of micropolar fluid over a shrinking sheet with thermal radiation. Proc Inst Mech Eng Part E: J Process Mech Eng 2013;228:61–72.10.1177/0954408912474586Search in Google Scholar

20. Vishal, S, Chandane, VS, Rathod, AP, Thakur, PP, Sonawane, SS. Application of hybrid nanofluids in proton exchange membrane fuel cell (chapter 12). In: Sonawane, SS, Mohammed, HA editors. Hybrid nanofluids for application in the chemical and petroleum industry. Amsterdam: Elsevier; 2025:203–21. pp.10.1016/B978-0-443-21451-6.00012-7Search in Google Scholar

21. Tripathy, A, et al.. Modulation of energy transport in stagnation point flows. Appl Math Comput 2024;440:127604.Search in Google Scholar

22. Becheikh, N, Alharbi, SO, Smarandache, F, Elsiddieg, AM, Alqahtani, AM, Khan, MR, et al.. The computational model of nanofluid considering heat transfer and entropy generation across a curved and flat surface. Sci Rep 2024;13:20059.10.1038/s41598-023-46955-7Search in Google Scholar PubMed PubMed Central

23. Patel, R, Mehta, S. Response surface methodology on optimizing heat transfer rate for the free convection of micro-structured fluid through permeable shrinking surface. Int J Therm Sci 2025;150:101544.Search in Google Scholar

24. Singh, J, Kumar, A. Numerical solutions for thermal and solutal transport of Jeffrey fluid flow subject to rotation via Keller–Box method. Appl Math Comput 2025;437:127801.Search in Google Scholar

25. Sharma, P, Jain, R. Synergistic effects of cadmium telluride and graphite nanoparticles with entropy analysis through Keller–Box method. Therm Sci Eng Prog 2025;47:101659.Search in Google Scholar

26. Das, M, Banerjee, S. Regression analysis of squeezing-induced hybrid nanofluid flow in Darcy–Forchheimer porous medium. J Porous Media 2025;28:239–56.Search in Google Scholar

27. Verma, A, Singh, K. Improving thermal efficiency through Cu–MoS2 hybrid nanomaterials: a numerical and statistical approach. Mater Today Proc 2024;60:2435–46.Search in Google Scholar

28. Gupta, D, Kumar, R. Heat and mass transfer analysis in flow of Walter’s B nanofluid: a numerical study of dual solutions. Int Commun Heat Mass Transfer 2024;137:106065.Search in Google Scholar

29. Zhao, L, Wang, Y. Significance of Brownian diffusion and thermophoresis in energy and mass optimization for Newtonian and non-Newtonian fluid flow. J Therm Anal Calorim 2025;148:485–99.Search in Google Scholar

30. Sharma, K, Joshi, M. A numerical study via Keller–Box method, optimization of energy transport via electro-thermal hybrid nanofluid in parallel disks. Heat Mass Transfer 2025;61:1257.Search in Google Scholar

31. Das, K. Slip flow and convective heat transfer of nanofluids over a permeable stretching surface. Comput Fluids 2012;64:34–42. https://doi.org/10.1016/j.compfluid.2012.04.026.Search in Google Scholar

32. Vajravelu, K, Prasad, KV, Lee, J, Lee, C, Pop, I, Van Gorder, RA. Ag-water and Cu–water nanofluids over a stretching surface. Int J Therm Sci 2011;50:843–51. https://doi.org/10.1016/j.ijthermalsci.2011.01.008.Search in Google Scholar

33. Ramesh, GK, Madhukesh, JK, Das, R, Shah, NA, Yook, S-J. Thermodynamic activity of a ternary nanofluid flow passing through a permeable slipped surface with heat source and sink. Waves Random Complex Media 2022;35:3499–519. https://doi.org/10.1080/17455030.2022.2053237.Search in Google Scholar

34. Usman, M, Hamid, M, Zubair, T, Ul Haq, R, Wang, W. Cu-Al2O3/water hybrid nanofluid through a permeable sur face in the presence of nonlinear radiation and variable thermal conductivity via LSM. Int J Heat Mass Transfer 2018;126:1347–56. https://doi.org/10.1016/j.ijheatmasstransfer.2018.06.005.Search in Google Scholar

35. Ishak, A, Nazar, R, Pop, I. Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. Nonlinear Anal Real World Appl 2009;10:2909–13. https://doi.org/10.1016/j.nonrwa.2008.09.010.Search in Google Scholar

Received: 2025-08-13
Accepted: 2025-10-11
Published Online: 2025-11-07

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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