https://doi.org/10.1140/epjp/s13360-024-05058-6
Regular Article
Investigation of a conducting Casson fluid flow through a porous flexible microfluidic channel with catalytic effects: application in pharmaceutical fluid processing
1
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, India
2
Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, 32816-1364, Orlando, FL, USA
d
laxminarayana.pallava@gmail.com
Received:
11
January
2024
Accepted:
3
March
2024
Published online:
16
March
2024
The study of magnetohydrodynamic (MHD) peristaltic flow of a chemically reactive biofluid in an inclined conduit has been progressing due to its widespread utilization in medication transfer, surgical haemorrhage management, and the treatment of cancer/tumour cells. As a result of this development, the present investigation is devoted to the study of the MHD peristaltic transport of a radiative Casson fluid through a porous medium in an inclined flexible channel with homogeneous and heterogeneous chemical reactions. In addition, the effects of heat generation and the Hall currents are considered. A long wavelength and low Reynolds number approximation is adopted to reduce the complexity of the system. The exact solution is obtained for the velocity field. In addition, MATLAB’s bvp5c solver is employed to solve the temperature and concentration equations. Further, several parametric values are considered to illustrate the ensuing variations in the axial velocity, the skin friction coefficient, the temperature, the Nusselt number, the fluid concentration, and the trapping phenomenon. Through the results, it is found that the concentration of the chemical species is enhanced with an increase in both the heterogeneous and homogeneous chemical reaction parameters. The fluid velocity rises with elevated values of the Darcy and channel inclination parameters. The temperature and the Nusselt number profiles are elevated by the Brinkman number. Furthermore, streamlines are presented to investigate the combined influence of the chemical reactions and the peristalsis on the trapped bolus size of fluid within a conduit. It is observed that the magnetic parameter and the Darcy number have an enormous impact on the trapping phenomenon.
Author’s thanks are due to Professor Mike Taylor, University of Central Florida, Orlando, Florida 32816, USA, for editing the manuscript for better readability and English.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
