https://doi.org/10.1140/epjp/s13360-025-06669-3
Regular Article
Numerical and regression study of Bödewadt flow with partial slips and variable thermal conductivity under a horizontal magnetic field
1
School of Applied Sciences (Mathematics), KIIT Deemed to be University, 751024, Bhubaneswar, Odisha, India
2
School of Applied Science & Humanities, Haldia Institute of Technology, 721657, Haldia, West Bengal, India
Received:
9
February
2025
Accepted:
17
July
2025
Published online:
2
August
2025
This study explores the influence of a horizontal magnetic field on Bödewadt flow, considering temperature-dependent viscosity and thermal conductivity. The combined effects of nonlinear radiation, velocity and temperature jump conditions, and wall suction are also analyzed. The boundary layer equations are derived based on empirical physical principles and subsequently transformed into self-similar ordinary differential equations (ODEs) using von Kármán transformations. These reduced ODEs are solved numerically using the ‘bvp4c’ routine in MATLAB. The numerical solutions are validated through comparison with existing literature in limiting cases and further analyzed for all governing parameters using tables and graphs. Regression analysis establishes correlations between the governing parameters and physical quantities, such as the skin friction coefficient and heat transfer rate. This research represents a pioneering investigation into the effects of horizontal magnetic fields on Bödewadt flow with variable fluid properties. Moreover, it is observed that the effects of the horizontal magnetic field depend not only on its strength but also significantly on the angle of inclination, unlike the case of a vertical magnetic field. The multiple regression analysis reveals that 91.7% of the variability in the observed skin friction coefficient is explained by the selected independent variables. To the best of our knowledge, the specific problem addressed in this study has not been previously examined in the context of Bödewadt flow. The findings highlight the impact of key parameters on flow and thermal characteristics, contributing to a deeper understanding of complex fluid dynamics.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica 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.
