Peristaltic transport of a Ree‐Eyring fluid with non‐uniform complaint channel: An analysis through varying conditions

Abstract The peristaltic mechanism of a non‐Newtonian Ree‐Eyring liquid in the presence of variable liquid properties and heat transfer is an integral component of technology and healthcare systems. This study aims to investigate and analyze this mechanism, taking into account the influence of wall properties and variable liquid properties. The long wavelength and Low Reynolds approximations are used in the model designed for this purpose. A regular perturbation technique solves the resulting nonlinear partial differential equations with the proper non‐dimensional parameters. The magnetic field's influence is crucial in determining the fluid flow behavior, whereas the variable liquid properties significantly affect the temperature profiles. This research contributes to an improved understanding of peristalsis in the context of Ree‐Eyring liquids and has potential implications for several technical and medical applications.