The usage of the nanomaterial inside the base fluid for hydrothermal enhancement has augmented in various devices and instruments. Though, several works are done to study the hydrodynamic of the nanofluid in different models and problems. In this current study, analytical approach is used to reveal the influence of nanomaterial on MHD flow in non-parallel plates. Homotopy perturbation method (HPM) is recently applied as reliable techniques for solving the nonlinear governing equations of the engineering problems. This study applied HPM as well as numerical technique of a fourth-order RK4 to ensure the validity of the results. Parametric research is done to find the effect of nanofluid fraction, Hartmann number and geometry angle on velocity profiles. According to our findings, hydraulic boundary layer thickness drops with growth of Re and it rises as Ha augments.