A numerical investigation has been done to investigate the impact of the nonlinear magnetic field, nonlinear thermal radiation, variable thickness, Brownian motion on flow and heat transfer characteristics (i.e. skin friction and surface heat flux) as a physical application and on the rate of cooling of the surface and the impact on the mechanical properties (hardness, ductility,….) of the surface which cooled in a Nanofluid as a mechanical application. The governing boundary layer equations (continuity, momentum, heat and concentration equations) are transformed to ordinary differential equations using a similarity transformation and then solved numerically by the assistance of Mathematica program.