Optimizing the theoretical analysis of entropy generation in the flow of second grade nanofluid

Here, the magnetohydrodynamic flow of second grade nanomaterials over a stretching sheet is discussed. Mathematical modeling incorporates the Buongiorno model. Significant mechanisms, i.e. Brownian movement and thermophoresis effects are retained. The further impact of Joule heating, viscous dissipation and nonlinear thermal radiation are also discussed. Physical features of the entropy generation rate in nanomaterials are the main focus of this analysis. Dimensionless variables are introduced to model the physical problem mathematically. The obtained systems are then tackled by means of an optimal homotopic algorithm. The effects of various pertinent flow variables on velocity, concentration, temperature, entropy optimization rate and Bejan number are interpreted. Our analysis indicates that entropy is enhanced via higher estimation of the Reynolds number, radiation parameter and magnetic parameter. Furthermore, the Bejan number reflects enhanced behavior against the radiation parameter. A comparative study is also provided to validate our present outcomes. (paper)