Impact of tiny nanoparticles on generalized Eyring–Powell liquid subject to activation energy

Abstract

Due to innumerable applications of nanofluid in heat transfer phenomena as well as engineering processes, the research on this innovative fluid over conventional fluid got popularity among researchers. Here, we have considered a non-Darcy porous surface medium for generalized Eyring–Powell fluid model under thermophoretic as well as Brownian movements. No mass flux phenomena along with heat sink-source and activation energy aspects are scrutinized; characteristics of random motion of fluid and thermophoresis diffusion characteristics for generalized Eyring–Powell fluid are examined briefly. The system of nonlinear PDEs is reduced to nonlinear ODEs by using the similarity variable technique; the numerical scheme bvp4c is used along with shooting technique. The physical aspects like flow of fluid, temperature profile, concentration for variation of concerned parameters have been computed and demonstrated pictorially with the help of graphs. It is observed that the velocity of nanofluid declines by increasing values of the power law index ([Formula: see text] and Eyring–Powell liquid parameters. Augmented values of Brownian moment, thermophoresis parameter as well as heat source rise with increase in temperature of nanofluid. The concentration profile of generalized Eyring–Powell nanofluid deteriorates for higher values of Schmidt number. Moreover, the transportation rate of heat declines against Pr, while it rises by increasing values of [Formula: see text].