Viscous dissipation and MHD hybrid nanofluid flow towards an exponentially stretching/shrinking surface

The impact of viscous dissipation in hybrid nanofluid plays a prominent role in industrial applications, for instance, in polymer processing flows and aerodynamic heating. Thus, the current investigation scrutinises the heat transfer performance of Al2O3-Cu/H2O in the magnetohydrodynamics stagnation point flow towards an exponentially stretching/shrinking surface with a viscous dissipation effect. By adopting valid similarity transformations, the differential equations that consist of multivariable functions and their partial derivatives are transformed into a special case of ordinary differential equations. The reduced mathematical model is elucidated using the bvp4c procedure in MATLAB systems software. This approach of solving is proficient for supplying non-uniqueness solution when sufficient initial assumptions are delivered. The effects of different controlling parameters were examined, and the findings disclosed that the coefficient of skin friction and the local Nusselt number increase by addition of nanoparticles. In contrast, the inclusion of the viscous dissipation effect causes an increase in the thermal state of the fluid hence triggers the thermal boundary layer to upraise. The outcomes are evidenced to provide more than one solutions, whereby necessarily result in an analysis of solution stability that affirms the first solution's viability.