Non-similar solutions and sensitivity analysis of nano-magnetic Eyring-Powell fluid flow over a circular cylinder with nonlinear convection

The current model is carried out to examine the radiative nano-magnetic coating flow of Eyring-Powell fluid over a circular cylinder with nonlinear convection and ohmic heating. In addition, response surface methodology is executed to probe the sensitivity of effective flow field parameters on heat transfer rate. The Brownian motion and thermophoresis effects are accounted for in the Eyring-Powell nanofluid model. The non-similar transformation approach is operated to reduce the nonlinear partial differential equations (PDEs) into dimensionless PDEs. The converted dimensionless PDEs are resolved by manipulating the Keller box technique (implicit finite difference method). To exhibit notable features of the solutions, parametric examination of the emerging parameters like thermal convection, Brownian motion, magnetic field, thermophoresis, inclination, Eckert number is carried out, the numerical computations of the flow field and physical quantities are portrayed via graphs. It is worth noting that the nanofluid coating velocity escalates by mixed convection parameter promotion. Higher values of mixed convection parameter promote the heat and mass transfer rate. The lower thermophoresis with the higher Eckert number causes a better heat transfer. The maximum heat transfer rate of 0.5467 is found via response surface methodology by setting the Eckert number=0.8, Brownian motion=0.3 and thermophoresiss=0.1.