Impact of Chemical Reactions and Convective Conditions on Peristaltic Mechanism of Ree-Eyring Fluid in a Porous Medium–A Mathematical Model

Peristalsis is the process of rhythmic, wave-like contractions in tubular structures that propel contents through them. A novel investigation of peristaltic flow in Ree-Eyring fluid with temperature-dependent properties is introduced in the study. The current research focuses on the peristaltic transport of non-Newtonian Ree-Eyring fluid in an axisymmetric non-uniform channel. A non-uniform channel with porous boundaries and inclination is considered in the study. Temperature-dependent variable fluid properties such as varying viscosity and thermal conductivity are considered. The Navier-Stokes equation and the Energy equations govern the fluid flow characteristics. Convective boundary conditions are employed at the boundary of the porous channel. The influence of chemical reactions, namely Homogeneous and Heterogeneous reactions, on the flow dynamics is considered in the study. The regular perturbation technique is employed to solve the non-linear coupled equations, and solutions for velocity, temperature, concentration, chemical reactions, and stream functions have been derived. Parametric analysis is implemented, and these variations are visually depicted through graphs generated by the MATLAB R2023a software. The results emphasise the substantial influence that variations in thermal conductivity and viscosity have on the properties of fluids. It has been noted that an increase in the Ree-Eyring fluid parameter reduces the velocity profiles. Also, the influence of porous and velocity slip parameters have the opposite impacts on the velocity profile. The study enhances the theoretical comprehension of non-Newtonian peristaltic flow and its practical implementations in industrial and biological systems, where variable fluid properties are essential.