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In this effort, solid hybrid nanofluid flowing and thermal transport characteristics over a slippery, nonlinear, uniform stretching surface are proposed. The influence of nanosolid particle shapes, permeability material, viscous dissipative flow, Cattaneo-Christov heat flux and radiate flux are studied. The predominant flow equations are systemized in form of partial-differential equations (PDEs). Keller-box's computational method is the employed method to identify the self-similar resolution for transformed principles into the ordinary-differential equations (ODEs) by appropriate transmutations. Williamson hybrid nanofluidcontaining of dual varied types of nanoparticles, named Copper (C u) and Zirconium dioxide (Z r O 2) in the rich viscid; based fluid of kind E O-Engine Oil is utilized in this research. The remarkable consequence of this analysis is reached by comparison of thermal transmission level of such type of fluid (Z r …