Abstract
The particular exploration includes the two-dimensional Casson nanoliquid motion predicaments, adjacent to the boundary level over the stretching sheet via non-Darcian porous medium. A particular computational description is given for the governing boundary value problem pertaining to nonlinear partial differential equations relating to momentum, thermal and mass transfer which are computed by fourth-order Runge-Kutta and shooting approaches. The brunt of several parameters like viscous dissipations, magnetic field, porous parameter, thermal diffusivity, Brownian diffusion coefficient and Casson fluid parameter on momentum, heat as well as mass transfer is explored. Moreover, it was noticed that liquid motion is repelled by the Forchheimerr parametric quantity resulting in a reduction in velocity magnitude, within the boundary layer, whereas in the thermic boundary layer, there is an increase in the thermal profile. Furthermore, when the value of the Brownian motion parameter increases, the axial velocity drops, but the thermophoresis parameter is said to have the opposite effect.