Abstract
The aim of this paper is to study of the impact of yield stress and convective conditions on the 3D mixed convection magnetohydrodynamics boundary layer flow of two-phase Casson nanofluid past a stretching plate in a porous medium. The regulating partial differential equations are converted into a system of nonlinear ordinary differential equations with the proper boundary conditions by picking local similarity conversions, and is resolved numerically through the spectral quasi-linearization method with Maple 13.0 software. The implications of different parameters are demonstrated via tables and graphs for velocity, energy and nanoparticle volume distributions. Also, heat and mass transfer rates in diverse situations and the accessories of various parameters are scrutinized through tables. The results obtained are substantiated against the relevant numerical results in previously-published research. The external yield stress has a more significant influence on thermal boundary-layer thickness than on concentration boundary-layer thickness and improves the flow velocity in the same direction.