Irreversibility analysis with hybrid cross nanofluid of stagnation point and radiative flow ( ) based on engine oil...

The present study addressed the physical significance of the entropy generation for the mixed convection time-dependent flow of cross-hybrid nanoliquid due to the stretched surface at a stagnation point. The Plot for heat transport is discoursed by applying the role of thermal radiation under convective conditions. For hybrid nanofluid, engine oil is used as a base liquid with copper (II) oxide $$ and titanium dioxide $$ nanoparticles. The existing model is framed in the highly partial differential equation system. The governing equations have been transformed into a set of ODS's using a similar scaling operation. Following this, the resulting ODEs are solved numerically through the BVP4c. The primary goal of this research is to analyze the results of varying the stretching ratio parameter ( $$ ), Weissenberg parameter ( $$ ), thermal radiation ( $$ ), and Biot number ( $$ ) for both pure $$ and CuO +  $$ / $$ hybrid nanofluid, on the velocity, temperature, drag force, heat transfer as well as entropy generation, and Bejan number was studied. A drop in velocity is observed with increasing values of the $$ and upsurge in velocity for rising value of unsteady parameter ( $$ ), while increasing values of both of these parameters are associated with rising temperatures. Copper and titanium oxide nanoparticles are used to increase Engine oil (EO) thermal enactment, making it a more useful base fluid. Further, some significant industrial and engineering applications are related to the present problem discourse.