Entropy degradation in a dual diffusion flow of a non‐Newtonian fluid in inclined channel using Keller‐Box approach

Abstract

The phenomena of entropy production are significant in mechanical systems, chemical processing, and manufacturing processes for minimizing the consumption of energy and optimizing the utilization of available resources. As a result of such inspired applications, the goal of the current study is to describe the entropy‐generating phenomena in channel flow with dual diffusion of nanofluid. Within a converging and diverging channel, the Jeffrey‐Hamel flow of Reiner‐Rivlin nanofluid with heat‐mass attributes is scrutinized. The inertial dependent flow of incompressible Reiner‐Rivlin nanofluid is formulated using the components of the stress tensor in the Navier–Stokes equation. The Buongiorno model is deployed in order to enhance energy efficiency and optimize the cooling mechanism of the channel. System irreversibilities in the view of the second law are scrutinized the energy loss due to energy transfer, frictional heating, and double diffusion of nanoparticles. The formulated equations are modified into ordinary differential equations using scaling variables. An efficient and effective Keller‐Box approach is used to tickle the non‐linear equation. The outcomes for velocity against inertial forces and the Reiner‐Rivlin parameter in a converging conduit are significant. A reverse flow phenomenon is seen in diverging conduit. Enhancement in temperature is perceived against double diffusion parameters. A decrease in concentration is achieved with the Brownian motion parameter. Effect of Reiner‐Rivlin fluid attributes is dominant as compared to traditional fluid. The enhancement of nanoparticle diffusion can regulate channel cooling and control anomalous overheating. System entropy can be controlled by adjusting the opening of the channel and temperature difference by taking the lubricating walls.