Energy Efficacy Enhancement in a Reactive Couple-Stress Fluid Induced by Electrokinetics and Pressure Gradient with Variable Fluid Properties

Peace O. Banjo (), Ramoshweu S. Lebelo, Samuel O. Adesanya and Emmanuel I. Unuabonah
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Peace O. Banjo: Department of Mathematics and Statistics, Faculty of Natural Sciences, Redeemer’s University, Ede 232101, Nigeria
Ramoshweu S. Lebelo: Applied Physical Sciences Department, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1911, South Africa
Samuel O. Adesanya: Department of Mathematics and Statistics, Faculty of Natural Sciences, Redeemer’s University, Ede 232101, Nigeria
Emmanuel I. Unuabonah: Department of Chemical Sciences, Redeemer’s University, PMB 230, Ede 232101, Nigeria

Mathematics, 2025, vol. 13, issue 4, 1-22

Abstract: This study presents a mathematical analysis of the collective effect of chemical reactions, variable fluid properties, and thermal stability of a hydromagnetic couple-stress fluid flowing through a microchannel driven by electro-osmosis and a pressure gradient. The viscosity of the biofluid is assumed to depend on the temperature, while the electrical conductivity is assumed to be a linear function of the drift velocity. The governing equations are derived non-dimensionalized, and numerical solutions are obtained using the spectral Chebyshev collocation method. The numerical solution is validated using the shooting Runge–Kutta method. The effects of varying the parameters on the thermal stability, temperature, velocity, and entropy profiles are discussed with adequate interpretations using tables and graphs. The results reveal that the chemical reactions and viscosity parameter increase the fluid temperature, while the Hartmann number decreases the temperature and increases the flow velocity and entropy generation. It was also observed that the chemical reactions and viscosity parameter increased the entropy at the channel walls, while the Hartmann number decreased the entropy at the core center of the channel. This study has tremendous empirical significance, including but not limited to biophysical applications of devices, engineering applications such as control systems, and thermo-fluidic transport.

Keywords: electro-osmotic flow; chemical reactions; variable fluid properties; thermal stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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