P. Jalili - Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
M. D. Afifi - Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
B. Jalili - Department of Mechanical Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
A. M. Mirzaei - Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
D. D. Ganji - Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

In this article, the equations governing the constant ferromagnetic current are investigated. The Lorentz force restrains this ferrofluid flow in a semi-porous valve. Analyzes were performed on three sub-particle fluids: kerosene and blood, water and magnetite. Modeling in the Cartesian coordinate system using the relevant equations was investigated. A slight thinning should be considered in the lower part of this channel. This research has used two Akbari-Ganji methods (AGM) and finite element method (FEM) to solve the equations. Nonlinear differential equations are solved using the above two methods. In the finite element model, the effect of changing the Hartmann number and the Reynolds number on the flow velocity and the derivatives of the velocity and shear stress of the fluid were investigated. As the Hartmann number increases, the velocity decreases in both directions. The Reynolds number changes in different slip parameters, which shows the opposite behavior for the two directions. Also, the insignificant effect of volume fraction of nanoparticles on velocity and its derivatives and shear stress was investigated. The results of solving the equations with the above two methods were compared with HAM. The results obtained using AGM and FEM and their comparison with previous researches have led to complete agreement, which shows the efficiency of the techniques used in this research.

ferrofluid, Magnetic field, Akbari-Ganji Method, Finite element method, Semi-porous channel