Non-Darcy-Forchheimer flow of Casson-Williamson nanofluid on melting curved stretching sheet influenced by magnetic dipole

Using a non-Darcy-Forchheimer model with nonlinear thermal radiation, homo-heterogenic reactions, Joule heating, exponential heat propagation, suction/injection, and melting heat peripheral conditions, the mathematical possibility of Casson-Williamson nanofluid flow carried over a magnetic dipole-enabled curved stretching sheet has been considered. Using similarity catalysts, the complex partial differential equations needed to display the given flow are transformed into more manageable ordinary differential equations. The Runge-Kutta-Fehlberg (RKF) 4-5(th) order tool has been used to draw solution graphs. Each graph has been analyzed in depth and commented on. The research shows that the inverse Darcy parameter and the suction/injection parameter have a detrimental effect on velocity distribution. In addition, the investigation showed that the nonlinear radiation parameter and the melting parameter had contradictory effects on the thermal profile. As a value addition, the flow and temperature distribution have been shown graphically using streamlines and isotherms. Therefore, considered flow over curved geometry is very new with cutting-edge results which are useful in further research in the field.