MHD forced convection ow and heat transfer of ferrouids over a moving at plate with uniform heat ux and second-order slip effects

Abstract

In this study, the problem of a two-dimensional forced convection MHD ow and heat transfer of ferrouids over a moving at plate is investigated, considering the effects of uniform heat ux and second-order slip. By applying the similarity transformation, the governing equations are reconstructed into the similarity equations, and the resulting equations are solved via a shooting technique. Then, we implement a stability analysis in order to determine which solutions are stable and physically realizable. The effects of the magnetic parameter, moving parameter, mass transfer parameter, first-order surface slip parameter, second-order surface slip parameter and volume fraction of solid ferroparticles on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are discussed in the form of tabular and graphical presentations. For the present study, we consider the results based on three preferred ferroparticles: magnetite, cobalt ferrite, and Mn-Zn ferrite in water-and kerosene-based uids. The results display the existence of dual solutions for a plate moving towards the origin in which the first solution is stable and physically realizable, while the second solution is not. Moreover, it is demonstrated that the combined effects of the magnetic, moving, mass transfer, and slip parameters, together with the volume fraction of ferrouids, delay the boundary layer separation.