Significance of thermal radiation in stability analysis and triple solutions for magnetized micropolar Buongiorno's nanofluid model

Abstract

The aim of this research is to investigate the impact of thermal radiations on micropolar nanoliquid flow over a stretching/shrinking surface. Further, heat generation or absorption along with Soret effects incorporated in energy and mass equations. Additionally thermal, velocity and concentration slips are considered along with porous surface. By applying similarity transformations, the nonlinear PDEs are transformed into the set of ODEs. These equations are then solved numerically by employing bvp4c technique in MATLAB. Due to the presence of more than one solution, the stability analysis is performed. Therefore, it is found that first solution is stable (physically realizable in practice) while the others are unstable. It is seen that three different results are achieved depending on the critical value, which show that all solutions are connected at these critical values and the boundary layer divides behind these critical values, representing that the solution is not stable. Furthermore, the velocity of the liquid diminishes with the increment in magnetic parameter. Further temperature distribution enhances with the increment in Brownian factor while diminishes against radiations effect. Moreover, Soret effect enhances concentration profile. Further this study helps in engineering applications including spinning process, polymer industry etc.