Three dimensional nanofluid motion with convective boundary condition in presents of nonlinear thermal radiation via stretching sheet

In present work activation energy on 3D (“Three-Dimensional”) nanofluid (NFs) motion via stretching surface (SS) with slip condition: a statistical study. The slip velocity defined for NFs model are reduction in governing PDE’s were converted into a set of non-linear ODE’s by help of similarity transformations. Present Statistical model is taken three different systems: in which the statistical results are computed via R-K-F (“Range-Kutta-Fehlberg”) algorithm and tested these solutions with help of shooting technique and improved bvp 4th order analysis. Graphical comparisons and statistical (“Numerical”) tables are created to validation results for three different techniques. The emerging physical parameters on velocity (“axial and transverse directions”), $\theta \left(\eta \right)$ (“Temperature”) and $\phi \left(\eta \right)$ (“Concentration”). We found that, the $\theta \left(\eta \right)$ is more impact in NFs motion for enlarge statistical values of various physical parameters. Further, we compared statistical results of present study with previous results in up to six decimal places.