https://doi.org/10.1140/epjs/s11734-024-01425-7
Regular Article
Entropy generation for exact irreversibility analysis in the thermally radiative peristaltic flow of Williamson fluid through the annular region of eccentric cylinders
Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
Received:
8
August
2024
Accepted:
22
November
2024
Published online:
9
December
2024
Endoscopes are essential tools in medical diagnostics with numerous clinical applications. They play a critical role in identifying the underlying causes of various issues in human organs where fluid is transported via peristaltic pumping, such as the stomach and intestines. This paper examines the impact of an endoscope on the peristaltic flow of Williamson fluid in an annular region, considering entropy generation. The outer cylinder is rigid and moves at a constant speed, while the inner cylinder, which exhibits flexibility, follows a sinusoidal wave pattern. The analysis incorporates viscous dissipation into the energy equation and is developed under the assumptions of low Reynolds number and long-wavelength approximation. An analytical solution for velocity, pressure gradient, temperature, streamlines, entropy generation, and the Bejan number is derived using the perturbation method. The results, presented graphically, reveal that temperature distribution increases with rising Brinkman and Weissenberg numbers, while entropy generation rises with the Brinkman number, and the Bejan number decreases. This study has significant applications in endoscopic procedures for diagnosing internal organ issues and highlights how pressure gradient variations can help regulate flow rates during catheter insertion into arteries.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024
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.
