The numerical solutions in three-dimensional double diffusive Jeffrey fluid flow with injection effect

Various engineering and industrial applications are employing the idea of convective double diffusive fluid stream, particularly through an extending surface. In recent times, many researchers have been interested in investigating the stream of Jeffrey fluid due to its application in modelling the behaviour of polymer melts during processing, such as extrusion or injection moulding. Therefore, this study is intended to develop a mathematical model for double diffusive Jeffrey fluid streaming past an elongating sheet. The influence of the injection parameter, together with the non-Newtonian properties, is taken into consideration. By using a similarity transformation, the governing equations, boundary conditions, and physical parameters have been altered into ordinary differential equations. As a result, it is found that the fluid flow is influenced by the injection rate, mixed convection, and buoyancy ratio. This statement is supported by the study, which shows the uplift of velocity as the injection rate parameter increases for larger values of boundary layer thickness. The stream velocity also surges with the rise of the mixed convection parameter and the buoyancy parameter, resulting in a slimmer boundary layer. Meanwhile, the thermal and mass exchange properties depend on the Soret–Dufour factor, where the temperature profile augments for several values of Dufour parameter, and the concentration profile increases for diverse values of Soret parameter.