Eyring-Powell model flow near a convectively heated porous wedge with chemical reaction effects

Background: Chemically reacting flows of non-Newtonian fluids over a moving permeable wedge have several medical and industrial applications such as wedge-shaped isodose distributions in patient anatomy and extrusion processes in manufacturing engineering. This study is aimed at analyzing chemically reacting flow over a heated porous wedge using the Eyring-Powell fluid model in order to comprehend the characteristics of dynamic wedges. Methods: Transformation of the partial differential equations (PDE) governing the flow, concentration, and temperature distribution into nonlinear ordinary differential equations (ODE) is carried out by employing similarity variables. The transformed equations are numerically solved by Runge-Kutta (RK) and shooting method using the popular MATLAB bvp4c scheme. The results are validated and are found in very close agreement with the existing numerical and Differential Transform Method (DTM) results. Significant findings: Influence of the major dimensionless parameters on concentration, temperature, and velocity are determined and discussed. The numerical results reveal that there is a direct effect of the Prandtl number (P-r), Eyring-Powel parameter(epsilon), the stretching parameter (C), and the Schmidt number (S-c) on velocity profiles for the velocity-ratio parameter (R < 1); and an inverse effect for (R > 1). The temperature and concentration gradients are affected inversely by all these parameters for both the values of R. The chemical reaction parameter (K-c) slightly affects the heat transfer and skin friction but its impact on the mass transfer is significant.

Automated summary

This study analyzes the chemically reacting flow over a heated porous wedge using the Eyring-Powell fluid model. The results show that the Prandtl number, Eyring-Powell parameter, stretching parameter, and Schmidt number have significant effects on velocity, temperature, and concentration.