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Boundary layer analysis on magnetohydrodynamic dissipative Williamson nanofluid past over an exponentially stretched porous sheet by engaging OHAM

Muhammad Sohail (Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan) (Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, Saudi Arabia) (Composite Materials Scientific Research Center of Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan)
Esha Rafique (Faculty of Natural and Applied Sciences, Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan)
Kamaleldin Abodayeh (Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, Saudi Arabia)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 23 August 2024

Issue publication date: 28 October 2024

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Abstract

Purpose

This investigation delves into the rationale behind the preferential applicability of the non-Newtonian nanofluid model over alternative frameworks, particularly those incorporating porous medium considerations. The study focuses on analyzing the mass and heat transfer characteristics inherent in the Williamson nanofluid’s non-Newtonian flow over a stretched sheet, accounting for influences such as chemical reactions, viscous dissipation, magnetic field and slip velocity. Emphasis is placed on scenarios where the properties of the Williamson nanofluid, including thermal conductivity and viscosity, exhibit temperature-dependent variations.

Design/methodology/approach

Following the use of the OHAM approach, an analytical resolution to the proposed issue is provided. The findings are elucidated through the construction of graphical representations, illustrating the impact of diverse physical parameters on temperature, velocity and concentration profiles.

Findings

Remarkably, it is discerned that the magnetic field, viscous dissipation phenomena and slip velocity assumption significantly influence the heat and mass transmission processes. Numerical and theoretical outcomes exhibit a noteworthy level of qualitative concurrence, underscoring the robustness and reliability of the non-Newtonian nanofluid model in capturing the intricacies of the studied phenomena.

Originality/value

Available studies show that no work on the Williamson model is conducted by considering viscous dissipation and the MHD effect past over an exponentially stretched porous sheet. This contribution fills this gap.

Keywords

Acknowledgements

The authors would like to thank Prince Sultan University, Saudi Arabia for support through the TAS research lab.

Citation

Sohail, M., Rafique, E. and Abodayeh, K. (2024), "Boundary layer analysis on magnetohydrodynamic dissipative Williamson nanofluid past over an exponentially stretched porous sheet by engaging OHAM", Multidiscipline Modeling in Materials and Structures, Vol. 20 No. 6, pp. 973-994. https://doi.org/10.1108/MMMS-04-2024-0106

Publisher

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Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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