MODELING THE DYNAMICS OF MHD FLOW OF NANOFLUID OVER A PERMEABLE EXPONENTIALY SHRINKING SHEET WITH ARRHENIUS CHEMICAL REACTION

Abstract

This paper deals with three-dimensional flow of nanofluid over permeable exponentially shrinking sheet. Large magnetic field of varying strength is applied perpendicular in the flow direction along the z-axis. The nanofluid model incorporates Brownian motion, thermophoresis, thermal radiation and Arrhenius reaction effects. The governing boundary-layer partial differential equations describing the system are formulated and transform into a set of ordinary differential equations with the help of similarity variables. The solutions of the resulting non -dimensional equations were obtained by iteration perturbation technique and some graphical illustrations displaying the influence of some emerging parameter on velocity, temperature and concentration were provided. It is observed that the temperature and concentration profiles are increasing functions of Brownian motion and thermophoretic parameters. However, the influence of velocity ratio parameter on primary velocity, temperature and concentration is the same while that of secondary velocity profiles is different. The primary velocity, temperature and concentration profiles displays an increasing behavior whereas that of secondary velocity is quite opposite for increasing values of the activation energy parameter.