Owing to the impressive thermal characterizations and uniform stability, the nanofluids reports novel significances in the thermal sciences, cooling phenomenon, controlling the heat transfer rate, solar systems, energy storage and many bio-medical applications. This thermal investigation incorporates the numerical investigation of two-dimensional unsteady nanofluid flow over nonlinear stretched configuration with exploration of heat source/sink case with non-uniform relations. Also consider hydromagnetic flow with parameters of chemical radiation and slip effects. The following of suitable variables, we convert the governing partial differential equation into ordinary differential equation. To solve these similarity equations using the numerical technique known as Keller box technique. Study reveals that the radiation parameter, velocity slip and chemical reaction have major effects on the temperature, velocity, concentration, mass transfer, transfer of heat and Skin friction coefficient. The influence for parameters associated to the velocity change and heat transfer determination is observed graphically.