Peristaltic transport in Prandtl fluid with diffusion and activation energy aspects by executing numerical simulations

Abstract

This manuscript deals with the peristaltic motion of Prandtl liquid owing to its extensive industrial applications. Convective transport due to heat and mass diffusion is accounted for along with the effectiveness of the activation energy and chemically reactive species. The variable thermal conductivity relation and radiation phenomenon changing linearly with respect to temperature are also included. The structuring of mathematical development is conceded in the dimensional version. Afterwards, the non-linear governing equations are converted into dimensionless form and then solved by manifesting numerical simulations through BVP4c to plot velocity, temperature, and concentration distributions. Associated fluxes at the walls of the channel are also delineated against the concerned parameters. Our investigation shows that the solutal and thermal Grashof parameters have declining aspects on fluid velocity initially, while it flows quickly in the remaining section. The temperature and double diffusivity decelerate with magnification against the radiation parameter. Moreover, the Brownian and thermophoretic diffusion parameters lead to an increase in temperature, which is beneficial for fusion processes and fast chemical reactions. Regarding the rate of the chemical reaction, the Lewis number $\mathrm{Le}$ and activation energy $E$ exhibit the opposite pattern. Streamlines were drawn to inspect the flow behavior at walls by estimating the variation in the amplitude against sundry variables.