A Mathematical approach to the role of Chemical reactions and Temperature-Dependent fluid properties of non-Newtonian Ree-Eyring fluid

The current study highlights a novel exploration of the peristaltic transport of Ree-Eyring fluid within a non-uniform channel. The impact of Temperature-dependent fluid properties and variable liquid characteristics are considered in the analysis. The flow problem is developed mathematically by considering momentum, energy and mass transfer equations. Slip conditions are imposed on the channel walls. Low Reynolds numbers and long-wavelength approximations make the nonlinear governing equations simpler. The nonlinear governing equations are normalised using suitable dimensionless parameters, and a regular perturbation technique is used to acquire the solutions. Using MATLAB R2023a, the impact of critical physical parameters (such as velocity, temperature, concentration, chemical reactions, and streamlines) is graphically displayed.The investigations reveal that the variable liquid properties significantly influence the physical parameters of interest. The study shows that variation in variable viscosity enhances the velocity profiles and diminishes the velocity profiles in the case of variable thermal conductivity. These results shed insight into the understanding of flow characteristics of biological fluids and industry.