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Irreversibility analysis of Darcy-Forchheimer flow of a Williamson hybrid nanofluids near a stagnation-point across a vertical plate with buoyancy force

Latifah Falah Alharbi (Department of Mathmatical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia and Department of Mathematics, Faculty of Science, Qassim University, Buraydah, Saudi Arabia)
Umair Khan (Department of Mathmatical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia; Department of Mathematics, Faculty of Science, Sakarya University, Serdivan, Turkey and Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon)
Aurang Zaib (Department of Mathematical Sciences, Federal Urdu University of Arts, Science and Technology, Karachi, Pakistan)
Anuar Ishak (Department of Mathmatical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 16 April 2024

Issue publication date: 14 May 2024

65

Abstract

Purpose

A novel type of heat transfer fluid known as hybrid nanofluids is used to improve the efficiency of heat exchangers. It is observed from literature evidence that hybrid nanofluids outperform single nanofluids in terms of thermal performance. This study aims to address the stagnation point flow induced by Williamson hybrid nanofluids across a vertical plate. This fluid is drenched under the influence of mixed convection in a Darcy–Forchheimer porous medium with heat source/sink and entropy generation.

Design/methodology/approach

By applying the proper similarity transformation, the partial differential equations that represent the leading model of the flow problem are reduced to ordinary differential equations. For the boundary value problem of the fourth-order code (bvp4c), a built-in MATLAB finite difference code is used to tackle the flow problem and carry out the dual numerical solutions.

Findings

The shear stress decreases, but the rate of heat transfer increases because of their greater influence on the permeability parameter and Weissenberg number for both solutions. The ability of hybrid nanofluids to strengthen heat transfer with the incorporation of a porous medium is demonstrated in this study.

Practical implications

The findings may be highly beneficial in raising the energy efficiency of thermal systems.

Originality/value

The originality of the research lies in the investigation of the Darcy–Forchheimer stagnation point flow of a Williamson hybrid nanofluid across a vertical plate, considering buoyancy forces, which introduces another layer of complexity to the flow problem. This aspect has not been extensively studied before. The results are verified and offer a very favorable balance with the acknowledged papers.

Keywords

Acknowledgements

This work has been funded by the Universiti Kebangsaan Malaysia project number “DIP-2023–005.”

Author contributions: Conceptualization: LFA and UK; methodology: LFA and UK; software: AZ, LFA and UK; validation: UK, AZ and AI; formal analysis: AI and AZ; investigation: AZ; resources: UK; data curation: AI; writing – original draft preparation: AI, LFA, UK and AZ; writing – review and editing: LFA, UK and AZ; visualization: AZ; supervision: AI; project administration: AI; funding acquisition: AI. All authors have read and agreed to the published version of the manuscript.

Data availability statement: The data sets used and/or analyzed during the current study are available from the corresponding author upon reasonable request.

Conflict of interest: It is declared that the authors have no conflict of interest.

Citation

Alharbi, L.F., Khan, U., Zaib, A. and Ishak, A. (2024), "Irreversibility analysis of Darcy-Forchheimer flow of a Williamson hybrid nanofluids near a stagnation-point across a vertical plate with buoyancy force", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 5, pp. 2094-2118. https://doi.org/10.1108/HFF-12-2023-0772

Publisher

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Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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