https://doi.org/10.1140/epjp/s13360-025-06411-z
Regular Article
Cu–SiO2 nanofluids influence on a Jeffery–Hamel laminar flow in rotating channels using the Duan–Rach approach and the response surface methodology
1
Research Laboratory for Advanced Technologies in Mechanical Production, LRTAPM, University of Annaba (UBMA), B.P.12, Annaba, Algeria
2
Mechanical Engineering Department, College of Engineering, King Khalid University, Abha, Saudi Arabia
3
Materials and Energy Engineering Laboratory (LMGE), Technology Department, Faculty of Technology, 20 Aout 1955 University of Skikda, PO Box 26, 21000, Skikda, Algeria
4
Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India
5
Department of Mathematics, College of Science, Qassim University, 51452, Buraydah, Saudi Arabia
6
Hourani Center for Applied scientific Research, Al-Ahliyya Amman University,, Amman, Jordan
7
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
8
Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, Jordan
Received:
30
November
2024
Accepted:
8
May
2025
Published online:
11
July
2025
This research is devoted to studying analytically and statistically the impact of nanofluids on a Jeffery–Hamel flow through both divergent and convergent channels when these channels are rotated. The considered nanoparticles in this study are copper and silica with water as the chosen base fluid. Ordinary differential equations are formulated based on the case studied, and subsequently, analytical solutions are established via the Duan–Rach approach and compared to the numerical ones found using the Runge–Kutta method to test the accuracy of the analytical method. The impacts of various pertinent parameters, like the channel’s half-angle, Reynolds number, solid volume fraction, and rotational parameter on the flow rapidity, as well as the skin friction, are addressed. It was found that rotating the channels causes the flow to lose its symmetry due to the Coriolis force, which affects the skin friction on the walls of the channels. This results in an asymmetric shear flow, making the flow within the rotating channels asymmetric. Additionally, it was concluded that each specific nanoparticle added to the rotating convergent/divergent channels influences the symmetry of the flow differently. Also, the statistical analysis employing the response surface methodology of the data obtained from the Duan–Rach method results for the skin friction factor gives us very helpful information about the interaction between the considered input parameters.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
