Analytical and Numerical Studies on Hydromagnetic Flow of Boungiorno Model Nanofluid over a Vertical Plate

The magnetohydrodynamic boundary-layer flow of two-phase model nanofluid over a vertical plate is investigated both analytically and numerically. A system of governing nonlinear partial differential equations is converted into a set of nonlinear ordinary differential equations by suitable similarity transformations, and the transformed equations are solved analytically using the homotopy analysis method and numerically by the fourth-order Runge–Kutta method along with a shooting technique. The effects of pertinent physical parameters on velocity, temperature, and concentration profiles of the nanofluid are discussed graphically. Furthermore, comparisons have been made with benchmark solutions for a special case and have obtained very good agreement.