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Machine learning analysis of heat transfer and electroosmotic effects on multiphase wavy flow: a numerical approach

Muhammad Naeem Aslam (Center for Mathematical Sciences (CMS), Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan; Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan and School of Mathematics, Minhaj University Lahore, Lahore, Pakistan)
Arshad Riaz (Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan)
Nadeem Shaukat (Center for Mathematical Science, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan and Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan)
Muhammad Waheed Aslam (Department of Physics, University of the Punjab, Lahore, Pakistan)
Ghaliah Alhamzi (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 24 October 2023

Issue publication date: 2 January 2024

167

Abstract

Purpose

This study aims to present a unique hybrid metaheuristic approach to solving the nonlinear analysis of hall currents and electric double layer (EDL) effects in multiphase wavy flow by merging the firefly algorithm (FA) and the water cycle algorithm (WCA).

Design/methodology/approach

Nonlinear Hall currents and EDL effects in multiphase wavy flow are originally described by partial differential equations, which are then translated into an ordinary differential equation model. The hybrid FA-WCA technique is used to take on the optimization challenge and find the best possible design weights for artificial neural networks. The fitness function is efficiently optimized by this hybrid approach, allowing the optimal design weights to be determined.

Findings

The proposed strategy is shown to be effective by taking into account multiple variables to arrive at a single answer. The numerical results obtained from the proposed method exhibit good agreement with the reference solution within finite intervals, showcasing the accuracy of the approach used in this study. Furthermore, a comparison is made between the presented results and the reference numerical solutions of the Hall Currents and electroosmotic effects in multiphase wavy flow problem.

Originality/value

This comparative analysis includes various performance indices, providing a statistical assessment of the precision, efficiency and reliability of the proposed approach. Moreover, to the best of the authors’ knowledge, this is a new work which has not been explored in existing literature and will add new directions to the field of fluid flows to predict most accurate results.

Keywords

Citation

Aslam, M.N., Riaz, A., Shaukat, N., Aslam, M.W. and Alhamzi, G. (2024), "Machine learning analysis of heat transfer and electroosmotic effects on multiphase wavy flow: a numerical approach", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 34 No. 1, pp. 150-177. https://doi.org/10.1108/HFF-07-2023-0387

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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