https://doi.org/10.1140/epjb/s10051-025-00974-7
Regular Article - Computational Methods
Sensitivity exploration of micropolar fluid through porous permeable walls using ANN
1
Department of Mathematics, Bharathiar University, 641046, Coimbatore, Tamil Nadu, India
2
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, India
3
Department of Mechanical Engineering, Keimyung University, Daegu, South Korea
a
muthtamil1@buc.edu.in
b
kimih@kmu.ac.kr
Received:
5
March
2025
Accepted:
23
May
2025
Published online:
12
June
2025
This paper investigates the heat transfer process in a two-dimensional flow of a micropolar fluid through porous permeable walls under a constant heat flux condition. To simplify the problem, a similarity transformation is applied, converting into a set of nonlinear boundary value problems. The Runge–Kutta–Fehlberg (RKF) method is then used to derive the series solutions for key variables such as microrotation, velocity, concentration distributions, and temperature. The study also explores the influence of several important parameters, including Reynolds number, magnetic and radiation parameter, Prandtl number, and Peclet numbers for mass and heat transfer. Through the use of response surface methodology (RSM), sensitivity analysis, and artificial neural networks (ANN), the research demonstrates that the system is well defined and behaves predictably. The study includes a range of graphical representations, such as residual contour and surface plots, which help to visualize and analyze the key components of the flow field. Additionally, tables are provided to present the results more clearly, allowing for a deeper understanding of how various parameters influence the system’s behavior.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
