Shape effects on steady flow and heat transfer of Cu-nanofluid over a nonlinear stretching surface with Joule heating

Authors

  • Ramzan Ali University of Doha for Science and Technology, 68 Al Tarafa, Jelaiah Street, Duhail North, 24449, Doha, Qatar
  • Ainura Mitalipova Osh State University Kyrgyz Republic, Lenina Street 331, 714000, Kyrgyzstan
  • Syed Wajeeh Ul Hussan University of Engineering and Technology, Department of Mathematics, Faculty of Basic Sciences, Taxila, HMC Link Rd, Taxila, 47050, Pakistan
  • Abdikerim Kurbanaliev Osh State University Kyrgyz Republic, Lenina Street 331, 714000, Kyrgyzstan
  • Azeem Shahzad University of Engineering and Technology, Department of Mathematics, Faculty of Basic Sciences, Taxila, HMC Link Rd, Taxila, 47050, Pakistan
  • Mukhammadmuso Abduzhabbarov Westminster International University in Tashkent, School of Law, Technology & Education, Istiqbol 12, Tashkent, 100047, Uzbekistan

DOI:

https://doi.org/10.24425/ather.2025.156581

Abstract

Nanofluids have garnered significant interest in various fields due to their numerous advantages and potential applications. The appeal of ethylene glycol (EG)-based Cu-nanofluid lies in its excellent thermal conductivity, stability, and ability to enhance heat transfer properties, making it a promising candidate for diverse industrial applications. In this study, we analyse the flow behaviour of EG-based copper (Cu) nanofluid over a nonlinear stretching surface under the influence of Joule heating effects. The research involves the development of a mathematical model and formulating of governing equations represented as system of partial differential equations, which are subsequently transformed into nonlinear ordinary differential equations through suitable transformations. A numerical framework based on MATLAB bvp4c solver technique is employed to obtain approximate solutions. The study examines the influence of dimensionless parameters on velocity and thermal distributions. The findings for the local Nusselt number and skin friction are presented in tabular form, highlighting the effects of key parameters. The results are benchmarked against three different sources from existing literature, showing strong agreement in the case of reduced Nusselt number.

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Published

2025-09-30

How to Cite

Ali, Ramzan, et al. “Shape Effects on Steady Flow and Heat Transfer of Cu-Nanofluid over a Nonlinear Stretching Surface With Joule Heating”. Archives of Thermodynamics, vol. 46, no. 3, Sept. 2025, pp. 89-104, doi:10.24425/ather.2025.156581.

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