Non‑linear MHD convective flow of Carreau nanofluid over an exponentially stretching surface with activation energy and viscous dissipation

摘要

Numerical approach for a non-linear mixed convective magnetohydrodynamic two-dimensional Carreau nanofluidthrough an exponentially permeable stretching surface with viscous dissipation and velocity slip under the influence ofArrhenius activation energy in chemical reaction is reported. The effects of thermophoresis and Brownian motion areconsidered. The governing nonlinear equations of this model are transmuted into ODE’s through similarity variables andsolved them with a shooting method based on R-K 4th order. Responses of fluid velocity, transfer rates (heat and mass)versus pertinent parameters of the problem for suitable values are obtained and the computational calculations forfriction coefficient, Nusselt number and Sherwood number for the both suction and injections regions are presented inplots and tables. It is found that fluid velocity is an increasing function of Weissenberg number. Momentum boundarylayer thickness is depressed by magnetic field impact. Increasing trend in Carreau fluid temperature is noticed due tolarger values of thermophoresis and Brownian motion effects. Concentration field is a decreasing function of Brownianmotion but an increasing function of thermophoresis. Activation energy augments the concentration curves and loweredby Schmidt number. Comparison of the results is made with already published results and we got good agreement.