https://doi.org/10.1140/epjs/s11734-026-02302-1
Regular Article
Sinusoidal motion of electrically conducting Casson fluid within a vertical tube under Rosseland and lubrication approximations
Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
b
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
25
August
2025
Accepted:
27
March
2026
Published online:
11
April
2026
Abstract
This study investigates the peristaltic motion of a Casson fluid influenced by a magnetic field (MHD) in a vertical tube, incorporating the combined effects of thermal radiation and heat generation or absorption. The Casson fluid model effectively captures non-Newtonian behavior characterized by yield stress, making it suitable for modeling physiological fluids such as blood. Under the assumptions of long-wavelength and low-Reynolds-number approximations, analytical expressions are derived for axial velocity, temperature distribution, streamlines, and shear stress. The analysis shows that axial velocity increases with the Casson parameter, indicating reduced flow resistance, while a higher wave amplitude decreases velocity, suggesting enhanced trapping. The temperature field decreases with an increase in the radiation parameter, reflecting improved heat dissipation. Internal heat generation raises fluid temperature, whereas heat absorption lowers it. The shear stress increases with the magnetic parameter due to magnetic resistance, but decreases with higher flow rates. The applicability of the present investigation extends to both biomedical and engineering domains. In particular, the considered configuration is relevant to magnetically guided endoscopic procedures and magnetic drug delivery systems, where peristaltic motion occurs under the combined influence of magnetic and thermal effects. Moreover, the results are also applicable to magnetohydrodynamic (MHD) blood pumps, microfluidic devices, and cooling systems utilizing electrically conducting non-Newtonian fluids. Consequently, the present analysis provides theoretical insights that may contribute to the design and optimization of advanced systems employing magnetic and thermal regulation in peristaltic transport processes.
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 EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
