Heat and mass transfer characteristics in peristaltic transport of temperature-dependent eyring powell nanofluid through an inclined uniform channel

This innovative mathematical model simulates an Eyring-Powell nanofluid propelled by a peristaltic mechanism in an inclined uniform channel, with temperature-dependent variable fluid characteristics. The model accounts for second-order slip conditions on the channel walls. The conservation of mass, momentum, and energy is incorporated into the mathematical formulation, and the governing nonlinear equations are normalised using appropriate non-dimensional parameters. To simplify the problem, we assume low Reynolds numbers and apply the long-wavelength approximation to model the slip boundary conditions at the channel walls. The transformed equations are solved using the optimal homotopy analysis method (OHAM). The primary objective of this study is to provide insights into key quantities such as velocity, temperature, concentration, skin friction, Nusselt number, Sherwood number, and streamlines under the influence of relevant parameters. Notably, we find that the temperature-dependent fluid characteristics and the Eyring-Powell parameters significantly affect the peristaltic flow behavior. The findings of this study are highly relevant to a variety of practical applications, especially in microfluidic devices, biomedical engineering, and chemical processing, where precise control of temperature and fluid behaviour is critical.