The phenomenon of the silver nanomaterial fluid flow over non- linear elongated sheet of changing width is analysed. The present work evaluates the impact of magnetic nanofluid flow with silver taking role of tiny nanoparticle mixed in water trivial as base fluid. Different physical factors like variable fluid viscosity, non-uniform heat flux, non-linear radiation due to heating along with viscous dissipation and Joule heating. The present investigation is motivated by practical utility of phenomenon in many industrial applications. There are fewer studies done with mathematical modelling of stretching sheet with changing width. The effect of EMHD along with other parameters has been taken into account. These sheets with varying width have dominant role on paper production, extrusion of dyes and filaments, atomic reactors, metallurgical process. The problem uses Navier-Stoke’s equation and Prandtl boundary layer theory. The equations with partial differential nature are converted to equations with ordinary differential by similarity transformation. Mathematica software is used to get numerical solution.