https://doi.org/10.1140/epjp/s13360-023-04487-z
Regular Article
Cross-diffusion of magnetohydrodynamic Williamson and Casson fluid flow past a slendering horizontal surface with variable thickness and multi-slip conditions: an implicit finite difference approach
1
Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, 791113, Papum Pare, India
2
Department of Mathematics, B V Raju Institute of Technology, 502313, Narsapur, Medak, Telangana State, India
3
Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, 751030, Khandagiri, Bhubaneswar, Odisha, India
4
Department of Basic and Applied Science, National Institute of Technology Arunachal Pradesh, 791113, Papum Pare, India
Received:
17
October
2022
Accepted:
15
September
2023
Published online:
1
October
2023
The influence of cross-diffusion effects for the roles of Soret and Dufour effects within the context of the flow of two-dimensional Williamson and Casson fluids over an elongated sheet with varying thicknesses is analyzed. The properties of the magnetic field along with multi-slip boundary conditions are also explored in this investigation. In engineering, the assumption of a fully developed flow is often used to design a mathematical model with the governing equations of the flow profile in the form of partial differential equations. With the aid of an implicit finite difference approach, the set of nonlinear coupled transformed problems is solved followed by similarity transformation that is useful for the conversion of non-dimensional form. The impact of these processes on the fluid flow phenomena parameterized by different non-dimensional parameters has been discussed. Moreover, the rate constants such that the skin friction coefficient and heat transfer rate characteristics are widely scrutinized with the support of various plots and tables.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
