Parametric analysis of peristaltic Ree-Eyring fluid flow in a complex wavy channel with magnetic field effects

Numerous biological and engineering applications, including as drug delivery, blood perfusion, and micro-pumping devices, heavily rely on peristaltic mechanism. Inspired by such applications, the current study investigates non-Newtonian fluid flow behavior in an magnetohydrodynamic (MHD) complex wavy symmetric channel with thermal radiation. The Ree-Eyring model provides for complex fluid shear-thinning behavior, whereby the imposed magnetic field influences flow by generating Lorentz forces that change velocity and pressure. Thermal radiation effects are incorporated to investigate their role within the system on heat transfer. The nonlinear governing equations are simplified using the lubrication approximation under long wavelength and low Reynolds number assumptions. An analytical method is developed for determining velocity, temperature distribution, pressure gradient, skin friction, Nusselt number, and volumetric flow rate expressions. As the Hartmann number grows, fluid velocity decreases due to increased magnetic damping. Raising the thermal radiation parameter reduces temperature distribution due to higher heat loss. An increase in the Ree-Eyring fluid parameter reduces the volumetric flow rate, indicating more severe shear-thinning behavior. Streamline patterns support the hypothesis that these characteristics have a substantial influence on bolus development. The findings provide light on the control of non-Newtonian fluid dynamics under heat and electromagnetic action, with potential applications in thermal energy-efficient system design, micro-pumping technologies and biomedical transport.