Radiation Flow near Stagnation Point with Heat and Mass Transfer of Nanofluid over a Permeable Stretching Sheet in the Presence of Uniform Magnetic Field and Non-uniform Source/Sink

The boundary layer flow of nanofluid over a permeable stretching sheet under the influence of magnetic field, thermal radiation and heat generation/absorption effect has been studied in the present investigation. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing partial differential equations are transformed into a set of non-linear ordinary differential equations using suitable similarity transformations. Similarity solutions for the transformed equations are obtained using efficient numerical technique i.e., Runge-Kutta-Fehlberg-45 order method. A detailed parametric study is performed to access the influence of physical parameters on the velocity, temperature and nanoparticle volume fraction profiles. It was found that the presence of non uniform source/sink and thermal radiation increase the temperature of the fluid in the boundary layer. Relevant discussions on the steady flow problem has been recorded with the help of plotted graphs and tabulated results. Validation of the present method has been well tested for its accuracy with the pre existing works.