Numerical simulation of electrically conducting and thermally radiative nanofluid flow in view of elongated slippery plates

The purpose of this research is to scrutinize thermally charged heated bi-phase nanofluid flow in elongated parallel slippery walls governed by an external pressure gradient. The couple stress flow of nanofluid is subject to suspension with nano-sized metallic particles. The interaction effects of a transverse magnetic field have been taken into account. The lubrication effects at the walls are considered to avoid the roughness of the walls. Governing nonlinear partial differential equations are reduced to nonlinear ordinary differential equations via similarity transformations, and then the bvph2 algorithm is employed for its solution. The impacts of non-dimensional governing parameters, such as magnetic field, particle density, stress, and slip, on the velocity profile and thermal field curves are exposed graphically. Numerical results were compared with another homotopic approach, and excellent agreement was perceived.