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Mathematical analysis of thermal phenomena and cross-diffusion in shear-thinning fluids with Hall current in a rotating magneto-peristaltic system
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DOI：10.1016/j.jppr.2026.05.006.png)
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Abstract
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This research examines the rotating magneto-peristaltic flow of Williamson shear-thinning fluids within a porous asymmetric tapered channel, while accounting for the impacts of coupled cross-diffusion phenomena. This study integrates prior studies focused on specific transport mechanisms through a unified analytical framework. We derive closed-form solutions for the distributions of velocity, pressure, temperature, and solute concentration by employing lubrication approximation and an asymptotic perturbation expansion in low Reynolds number and long-wavelength circumstances. Computational findings indicate that an elevated Hartmann number causes a reduction in flow velocity by 15%–35%, attributed to the electromagnetic Lorentz resistance. Conversely, an increased Hall effect parameter and Darcy number contribute to a flow enhancement of 10%–20% through improved electromagnetic coupling and higher permeability of the porous material. A rise in the Weissenberg number enhances viscoelastic stress relaxation, resulting in intensification in velocity and a reduction in pressure gradient by approximately 18%–28%. The rise in temperature is ascribed to magnetic damping (Joule heating) and shear-induced viscous dissipation, in addition to cross-diffusion coupling between thermal and concentration fields. The main innovation involves the incorporation of Williamson non-Newtonian behavior, Hall-effect-modulated magnetohydrodynamic forcing, resistive heating, and rotation-induced Coriolis effects within complex geometrically designed porous asymmetric channels-phenomena that have previously been examined separately in earlier research. This analysis identifies distinct transitions in pumping zones and interrelated thermal-mass transport mechanisms that have not been previously recorded in the literature. Applications encompass biomedical peristaltic delivery systems, magnetically actuated microfluidic devices, and thermoelectric magnetohydrodynamic conversion units. Analytical solutions facilitate effective sensitivity analysis and optimization in engineering design, necessitating limited computational resources.
Keywords:
Williamson shear-thinning fluid
Cross-diffusion effects
Rotating magneto-peristalsis
Joule heating
Tapered configuration
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