Role of dipole interactions in Darcy–Forchheimer first-order velocity slip nanofluid flow of Williamson model with Robin conditions

Ferrofluids (FF) have numerous applications in biomedical, industrial and mechanical engineering. It characteristics make it helpful for a wide range of uses like in computer hard drives, loudspeakers, rotating shaft motors, magnetic resonance imaging (MRI) and so many others. In this communication, characteristics of magnetized first order Darcy–Forchheimer ferrofluid slip flow of non-Newtonian (Williamson fluid) towards a flat surface of stretched sheet in the presence of chemical reaction, Brownian motion, activation energy, thermophoresis diffusion, mixed convection and Robin condition is addressed. Appropriate similarity transportations are used to alter the complicated and nonlinear PDE’s into ODE’s and computational results are obtained through bvp4c technique (built-in-shooting). Furthermore, the engineering quantities (skin friction coefficient, Nusselt number, Sherwood number) are numerically elaborated with the help important flow parameters. In summary, a proper location of magnetic dipole can adjust the heat and mass transfer rate and flow field to fit the practical application.