Prandtl number on the velocity and shear stress of the fluid analytically using the classical homotopy perturbation method

The equations governing the flow of an electrically conducting, incompressible viscous fluid over an infinite flat plate in the presence of a magnetic field are investigated using the homotopy perturbation method (HPM) with Padé approximants (PA) and 4 order Runge–Kutta method (4RKM). Approximate analytical and numerical solutions for the velocity field and heat transfer are obtained and compared with each other, showing excellent agreement. The effects of the magnetic parameter and Prandtl number on velocity field, shear stress, temperature and heat transfer are discussed as well. Keywords—Electrically conducting elastico-viscous fluid; symmetry solution; Homotopy perturbation method; Padé approximation; 4 order Runge–Kutta; Maple.