Slip and convective flow of Williamson nanofluid influenced by Brownian motion and thermophoresis mechanism in a horizontal microchannel

Abstract

The current work is an attempt to explicate the repercussions caused by the transmission of heat as well as mass along with the enhancement of heat transmission for a steady MHD Williamson nano-substance flowing through the microchannel with slip and convective boundary conditions. The consequence of magnetic field and viscous dissipation on the flow is recorded. The simultaneous impact of the two well-known slip-mechanisms Brownian movement and thermophoresis is elaborated explicitly. The governed non-linear systems obtained were illustrated numerically via Runge-Kutta Fehlberg 4–5th order method based on shooting scheme. The pertinent features of assorted parameters have been scrutinized with the aid of graphs. Results reveal that magnetic parameter along with buoyancy ratio parameter was observed to decline the velocity whereas Weissenberg number displays both rising and depleting conduct on velocity. Temperature was reported to boost with Brownian motion and thermophoresis parameter whereas concentration profile declines with the same. Also drag across the enclosures of the microchannel with wall heat flux are computed and studied through graphs.