Abstarct: Magnetorheological fluid (MR) is a type of smart fluid that consists of micrometer-sized magnetizable particles suspended in a carrier fluid. The rheological properties of an MR fluid can be greatly altered by applying an external magnetic field. Modeling and simulation of MRFs is very challenging due to their complex structure. Research in this field shows that there are still no unique and clear methods for simulating and modeling MRFs. In this research, the DEM method was used to simulate the particle dynamics, and the CFD method was used for the carrier fluid, taking into account the magnetic interactions with the help of the fixed dipole model. The simulations were investigated in the two stages of forming columns of particles under external field and applying shear force for the suspension of carbonyl iron particles in silicone oil. The obtained results were compared with the experimental and simulation results of other researchers and it was observed that there is an acceptable agreement.