Energy Efficacy Enhancement in a Reactive Couple-Stress Fluid Induced by Electrokinetics and Pressure Gradient with Variable Fluid Properties
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Date
2025-02-13
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Mathematics, MDPI, Basel, Switzerland
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 thermofluidic transport.
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Banjo, P.O.; Lebelo, R.S.; Adesanya, S.O.; Unuabonah, E.I. Energy Efficacy Enhancement in a Reactive Couple-Stress Fluid Induced by Electrokinetics and Pressure Gradient with Variable Fluid Properties. Mathematics 2025, 13, 615. https://doi.org/10.3390/ math13040615