Dual nature solutions for temperature-dependent transport properties of nanofluid flow with entropy generation

Two-dimensional stagnation-point flow with variable viscosity over a nonlinear stretching/shrinking surface is investigated. Utilizing the second law of thermodynamics the entropy generation analysis is deliberated. Instantaneous impacts of heat generation coefficient, variable thermal conductivity, magnetohydrodynamics, chemical reaction, first order velocity slip, and variable mass diffusivity are also added to explain the salient feature of mass and heat transfer. Consuming the appropriate similarity transformation, the partial differential equations are changed to a system of ordinary differential equations, and a bvp4c function from Matlab is used for solution purposes. The dual nature of the problem is debated by finding the critical values corresponding the suction and stretching parameter. A parametric study on axial velocity, temperature filed, concentration distribution, and entropy profile has been conducted. The results obtained by our proposed numerical model illustrate a satisfying agreement with the existing result. It is found that the entropy generation is an increasing function of Brinkmann number, diffusive constant parameter, and Reynold number while it is diminishing for enhancing value of temperature difference parameter. Further it is noticed that the variable thermal conductivity parameter enhance the skin friction.