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Optimization of heat transfer on Jeffrey ternary nanofluid flow with slip conditions and heat generation by response surface methodology


Citation

Abu Bakar, Shahirah and Wahid, Nur Syahirah and Md Arifin, Norihan and Pop, Ioan (2025) Optimization of heat transfer on Jeffrey ternary nanofluid flow with slip conditions and heat generation by response surface methodology. Multiscale and Multidisciplinary Modeling, Experiments and Design, 8. art. no. 150. pp. 1-17. ISSN 2520-8160; eISSN: 2520-8179

Abstract

Jeffrey model refers to a type of non-Newtonian fluids where it captures both viscous and elastic properties of the fluid. It builds on the Oldroyd-B fluid model by adding a feature called retardation time, which represents the delay of a fluid experiences in responding to stress. Therefore, we keen to study on the Jeffrey stagnation point ternary hybrid nanofluid flow over a permeable shrinking surface with heat generation, velocity slip, and thermal slip. The ternary hybrid nanofluid model is developed using three nanoparticles: alumina (Al2O3), copper (Cu), and titania (TiO2), with water (H2O) serving as the base fluid. The mathematical derivation involves applying a similarity transformation technique to a set of partial differential equations, reducing them to non-linear ordinary differential equations. These equations are then solved using MATLAB’s bvp4c function. In the meantime, two branches of solutions are obtained via the shrinking parameter. The analysis compares mono, hybrid, and ternary nanofluids, revealing that the three nanoparticles achieve the highest heat transfer rate. The findings also show that the Deborah number, velocity slip, and heat generation parameter increase the temperature distribution, while thermal slip reduces them. Additionally, Response Surface Methodology (RSM) was employed to optimize the volume fractions of the three nanoparticles, which confirming that their highest values maximize the heat transfer rate. The findings from this study suggest promising applications for ternary hybrid nanofluids that work with optimization processes such as high-performance solar thermal collectors, geothermal energy systems, or medical thermal therapies.


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Additional Metadata

Item Type: Article
Subject: Materials Science (all)
Subject: Mechanics of Materials
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1007/s41939-025-00744-z
Publisher: Springer Science and Business Media
Keywords: Jeffrey model; Response surface methodology; Shrinking; Ternary hybrid nanofluid
Sustainable Development Goals (SDGs): SDG 7: Affordable and Clean Energy, SDG 9: Industry, Innovation and Infrastructure, SDG 12: Responsible Consumption and Production
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 30 Jun 2026 05:26
Last Modified: 30 Jun 2026 05:26
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s41939-025-00744-z
URI: http://psasir.upm.edu.my/id/eprint/123213
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