https://doi.org/10.1140/epjp/s13360-024-05443-1
Regular Article
Rheological analysis and heat transfer enhancement of Williamson nanofluid in mixed convection flow over a stretching cylinder/plate
1
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India
2
Department of Mathematics, Easwari Engineering College (Autonomous), 600089, Ramapuram, Chennai, Tamil Nadu, India
3
Centre for Research in Computational and Applied Mechanics, University of Cape Town, 7701, Rondebosch, South Africa
4
Department of Mathematics, Bangalore University, 560056, Bangalore, India
Received:
11
June
2024
Accepted:
10
July
2024
Published online:
26
July
2024
This study explores the rheological properties of Williamson nanofluids and their effects on flow dynamics within stretching cylinders and plates, aiming to enhance heat transfer processes, advance nanofluid-dependent technologies and optimize manufacturing procedures. By examining mixed convection, incompressible, unsteady magnetohydrodynamic Williamson nanofluid flow in a permeable medium with velocity slip and convective boundary conditions, the analysis incorporates magnetic fields, thermophoresis, Brownian motion, radiative heat flux and chemical reactions. Utilizing similarity transformations, the nonlinear partial differential equations governing the flow are converted into ordinary differential equations, which are then solved using the numerically efficient Keller box method. The results are rigorously validated against the existing literature. Key findings reveal that the velocity boundary layer decreases with increasing porous media, magnetic and unsteady parameters, while the heat transfer rate on the elongating cylinder’s surface increases with enhanced radiative flux. These insights contribute to a deeper understanding of fluid behavior in stretching cylinder/plate geometries. Practical implications suggest that Williamson nanofluids could significantly improve oil drilling and extraction processes, maximizing recovery rates and minimizing environmental impact, and hold potential for environmental remediation applications such as groundwater treatment and wastewater management.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
