Radiative nanofluidic transport over bidirectional stretching sheet with multiple convective conditions and heat source/sink

Abstract

This research has focused on unsteady nanofluid flow over a bidirectional stretching surface in the presence and absence of a magnetic field respectively. The direction of the magnetic field is vertically upwards. Nonlinear sort of thermal radiation has been considered here. Additionally, Brownian motion and thermophoresis are revealing an innovative way in this investigation. Moreover, we captured flow characteristics and temperature distribution along realistic thermal and mass convective boundary conditions. Similarity transformation is applied to convert the governing equations, from PDE to nonlinear ordinary type. Using RK4 shooting criteria through MAPLE 17 software we have solved numerically this transformed leading equation along with boundary conditions with the required accuracy rate. Upshots are explored with appropriate geometrical representation and tables. After those physical consignments as Sherwood number, Nusselt number also skin friction have been calculated. It has to remark from consequences that fluid velocity along x-axis, temperature, volume fraction are declined along with the positive increment of stretching parameter while the opposite impact is perceived for the velocity of nanofluid towards y− direction. The transportation of heat in nanoliquid increases for enlarging radiation factor also this effect turns advanced when magnetic force is neglected.