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Thermophoretic particle deposition and double-diffusive mixed convection flow in non-Newtonian hybrid nanofluids past a vertical deformable sheet

Latifah Falah Alharbi (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia) (Department of Mathematics, Faculty of Science, Qassim University, Qassim, Saudi Arabia)
Umair Khan (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia) (Department of Mathematics, Faculty of Science, Sakarya University, Serdivan, Turkey) (Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon) (Department of Mechanics and Mathematics, Western Caspian University, Baku, Azerbaijan)
Aurang Zaib (Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi, Pakistan)
S.H.A.M. Shah (Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, Pakistan)
Anuar Ishak (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia)
Taseer Muhammad (Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 9 September 2024

Issue publication date: 28 October 2024

51

Abstract

Purpose

Thermophoresis deposition of particles is a crucial stage in the spread of microparticles over temperature gradients and is significant for aerosol and electrical technologies. To track changes in mass deposition, the effect of particle thermophoresis is therefore seen in a mixed convective flow of Williamson hybrid nanofluids upon a stretching/shrinking sheet.

Design/methodology/approach

The PDEs are transformed into ordinary differential equations (ODEs) using the similarity technique and then the bvp4c solver is employed for the altered transformed equations. The main factors influencing the heat, mass and flow profiles are displayed graphically.

Findings

The findings imply that the larger effects of the thermophoretic parameter cause the mass transfer rate to drop for both solutions. In addition, the suggested hybrid nanoparticles significantly increase the heat transfer rate in both outcomes. Hybrid nanoparticles work well for producing the most energy possible. They are essential in causing the flow to accelerate at a high pace.

Practical implications

The consistent results of this analysis have the potential to boost the competence of thermal energy systems.

Originality/value

It has not yet been attempted to incorporate hybrid nanofluids and thermophoretic particle deposition impact across a vertical stretching/shrinking sheet subject to double-diffusive mixed convection flow in a Williamson model. The numerical method has been validated by comparing the generated numerical results with the published work.

Keywords

Acknowledgements

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

Future work: Investigation of this problem can be expanded by including an unsteady flow induced by different non-Newtonian fluids. Therefore, in addition to various physical elements such as convective boundary conditions, nanoparticle aggregation, waste discharge pollutant concentration, chemical reactions, heat source sinks and slip effects.

Author contributions: L.F.A: Conceptualization, Methodology, Software, Formal analysis, Validation; Writing – original draft. U.K: Writing–original draft, Data curation, Investigation, Visualization, Validation. A.I: Conceptualization, Writing–original draft, Writing–review and editing, Supervision, Resources. A.Z; T.M: Validation, Investigation, Writing–review and editing, Formal analysis; Project administration; Funding acquisition. S.H.A.M.S. Writing–review and editing, software; Data curation, Validation, Resources. G.A.Al-T and W. S have only contributed in the part of resources and writing and editing. The contributions of both authors in the original submission are very less. It is equal to nothing. Therefore, we have removed their names as per her permission.

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

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

Citation

Alharbi, L.F., Khan, U., Zaib, A., Shah, S.H.A.M., Ishak, A. and Muhammad, T. (2024), "Thermophoretic particle deposition and double-diffusive mixed convection flow in non-Newtonian hybrid nanofluids past a vertical deformable sheet", Multidiscipline Modeling in Materials and Structures, Vol. 20 No. 6, pp. 1103-1124. https://doi.org/10.1108/MMMS-05-2024-0112

Publisher

:

Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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