This research focuses on an innovative investigation of the simultaneous peristaltic ciliary motion of Casson fluid within a porous channel, given its applications in blood rheology, mucociliary clearance, and targeted drug delivery. Even though peristaltic and ciliary motions have been well-studied individually, the coupled influence of both on top of multiple physical and physiologic effects remains unexamined. Model characteristics include the impact of an inclined magnetic field, electroosmosis, porous-medium resistance, buoyancy, viscous dissipation, radiation, and an internal heat source, as well as homogeneous-heterogeneous biochemical reactions. Using approximations for long wavelengths and low Reynolds numbers, the nonlinear equations are solved analytically via a homotopy perturbation method. Results show that increasing the Casson parameter decreases core velocity, as observed for higheryield-stress blood-like fluids, and that increasing homogeneous reaction variables decreases solute concentration. The Brinkman number increases both the temperature and the heat transfer. Elevated Darcy numbers reduce the porous medium’s resistance, thereby lowering skin friction. This study is unique in integrating the peristaltic and ciliary mechanisms within magneto-thermal and electroosmotic effects, providing essential insights into microvascular blood flow modelling, controlled drug transport, and bio-inspired microfluidic pump design.
Thirunavukarasan et al. (2026) studied this question.