MHD Effects on the Peristaltic Transport of Non-Newtonian Eyring–Powell Fluid with Heat and Mass Transfer in an Inclined Uniform Channel

Abstract The primary focus of the current study is to examine the effect of magnetohydrodynamics on the peristaltic motion of Eyring–Powell fluid. The Navier–Stokes equations, renowned for their intricate nature, form the foundation of the mathematical model utilised in this investigation. However, the model has been simplified through specific assumptions to facilitate analysis. The model assumes explicitly a long wavelength and a low Reynolds number. This study also investigates the effect of wall characteristics on peristalsis in the presence of a magnetic field. Additionally, variable liquid properties such as varying viscosity and thermal conductivity are also considered in the study. The governed nonlinear equations are solved with multiple slip conditions to obtain the velocity, temperature, concentration and streamline profiles. Different waveforms on velocity profiles are also studied. A parametric evaluation makes the analysis more accessible, and the results are graphically depicted using MATLAB R2023a software. The findings of this study shed light on the substantial impact of the magnetic parameter and varying viscosity on fluid properties.