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Entropy optimization in a radiative and chemically reactive EMHD flow of a nanofluid coexisting Ohmic dissipation and multiple slips

Mohanaphriya US (Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, India)
Tanmoy Chakraborty (Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 7 November 2024

Issue publication date: 26 November 2024

64

Abstract

Purpose

This research focuses on the controlling irreversibilities in a radiative, chemically reactive electromagnetohydrodynamics (EMHD) flow of a nanofluid toward a stagnation point. Key considerations include the presence of Ohmic dissipation, linear thermal radiation, second-order chemical reaction with the multiple slips. With these factors, this study aims to provide insights for practical applications where thermal management and energy efficiency are paramount.

Design/methodology/approach

Lie group transformation is used to revert the leading partial differential equations into nonlinear ODE form. Hence, the solutions are attained analytically through differential transformation method-Padé and numerically using the Runge–Kutta–Fehlberg method with shooting procedure, to ensure the precise and reliable determination of the solution. This dual approach highlights the robustness and versatility of the methods.

Findings

The system’s entropy generation is enhanced by incrementing the magnetic field parameter (M), while the electric field (E) and velocity slip parameters (ξ) control its growth. Mass transportation irreversibility and the Bejan number (Be) are significantly increased by the chemical reaction rate (Cr). In addition, there is a boost in the rate of heat transportation by 3.66% while 0.05⩽ξ⩽0.2; meanwhile for 0.2⩽ξ⩽1.1, the rate of mass transportation gets enhanced by 12.87%.

Originality/value

This paper presents a novel approach to analyzing the entropy optimization in a radiative, chemically reactive EMHD nanofluid flow near a stagnation point. Moreover, this research represents a significant advancement in the application of analytical techniques, complemented by numerical approaches to study boundary layer equations.

Keywords

Acknowledgements

The authors extend their cordial gratitude to the reviewers for their insightful suggestions and comments, which have significantly enhanced the quality of the article. The authors also wish to thank the Editor for his valuable input that improved the presentation of the paper.

Conflict of interest: The authors declare that they have no conflict of interest or personal relationship that could have appeared to influence the work reported in this paper.

Citation

US, M. and Chakraborty, T. (2024), "Entropy optimization in a radiative and chemically reactive EMHD flow of a nanofluid coexisting Ohmic dissipation and multiple slips", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 12, pp. 4462-4519. https://doi.org/10.1108/HFF-04-2024-0268

Publisher

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Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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