Modern bearings used the lubricants having polymer components of larger molecular weight for higher speed and high load operations. These lubricants show rheological activity that is non-Newtonian. Power-law lubricants are commonly used for industrial and bearing lubrication operations. This article is modeled through the slip as interfacial condition to demonstrate the role of power-law lubrication on the stagnation point flow of Walters-B nanofluid. The thermophoretic force and Brownian movement factors are accounted in energy and mass species expressions. The expressions in partial differential forms are constructed for both the base and lubricant fluids. The system is re-structured into ordinary differential expressions by the implication of dimensional analysis. An approximate and numerical scheme namely the hybrid homotopy analysis method is reported to demonstrate the solutions of nonlinear expressions. The behavior of involved constraints on practical quantities is shown and analyzed. The nature of friction factor, thermal and solutal rates at the surface is reported through numeric data. Match of the present solution with previously published data shown better agreement. It can be seen that the slip phenomenon dominates over the free-stream phenomenon. The large values of viscoelastic parameter decay the thermal and solutal fields.
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