Three dimensional third grade nanofluid flow in a rotating system between parallel plates with Brownian motion and thermophoresis effects

The heat and mass transmission effects of non-Newtonian electrically conducting nanofluid flows, considering (third grad fluid) between two parallel plates with rotating system has been analyzed. The problem is demonstrated in such a way that the upper plate is static and the lower plate is stretched. The nanofluid flows of third grade fluid under the influence of thermophoresis and Brownian motion in a rotating system is the main goal of this study. The basic governing equations are transformed by the use of suitable similarity variables of differential equations which are nonlinear and coupled. An optimal approach has been used to acquire the solution of the modeled problems. The convergence of the method has been shown numerically. The variation of the heat flux, mass flux and their effects on the temperature and concentration profiles have been analysed numerically. Furthermore, for comprehension the physical presentation of the embedded parameters that is, Prandtl number Pr, Deborah number β, viscosity parameter R, rotation parameter Kr, Brownian motion parameter Nb, thermophoretic parameter Nt, magnetic parameter M, third grade fluid parameters α1,α2,β, dimensional thickness λ and Schmidt number Sc are plotted graphically and discussed. Keywords: Three dimensional flow, Third grade fluids, Rotating flow, MHD, Brownian motion, Heat and mass transfer, HAM