Falkner–Skan flow of aqueous magnetite–graphene oxide nanoliquid driven by a wedge

Abstract

Flow of liquid over moving wedge is a crucial process in engineering applications because both the velocities of liquid and plate are proportional to each other in this process. Hence, it is very useful in preparation of paper, polymeric sheets and drawing of plastic films. We developed a mathematical model to report the hybrid nanoliquid flow past a wedge by incorporating the induced magnetic effect. Hybrid nanoliquid is taken by the mixture of magnetite–graphene oxide with water based nanoparticles. To obtain the nonlinear ordinary differential equations, preferable transformations are used and quantitative results are obtained using the Runge-Kutta-Fehlberg (RKF) fourth and fifth order schemes. Impact of controlling parameters in the problem statement is discussed through graphs and tables. Examination revealed that the higher magnetic parameter reduces the hybrid nanoliquid velocity, induced magnetic field, but the temperature field enhances. Also, when the wedge parameter value is negative, the Nusselt number and skin-friction values are higher compared to positive wedge values.