Abstarct: Multi-phase fluid flow is one of the most important and influential topics in fluid mechanics science, and how to deal with it and properly understand the issues raised in this field can have a tremendous impact on the future of the world of technology and industry. The present study has consistently performed simulations of three-phase currents in various viscoelastic and dual states with several internal droplets. In this study, the numerical method of level set is used. Also, in order to evaluate the accuracy of the results, first the two-phase current in the T-shaped micro-channel was examined and then using the same mechanism, the three-phase current in the combined T-shaped micro-channel was simulated and the process of forming three-phase currents was analyzed. For this purpose, the effects of changing the rate of velocity and viscosity of the middle and outer internal phases on the properties of the droplets created in this particular type of flow are investigated and evaluated. The results of the study show that by examining the effects of velocity, and the viscosity of fluids within a hierarchical T-shaped microchannel, the results of the clear effects of these parameters can be clearly seen on how the internal and external droplets separate, the dimensionless dimension and the dimensionless distance between The separation of the droplets was observed in such a way that by adjusting the speed and viscosity parameters, the size of the separated droplets and the distance created between them could be controlled depending on the intended applications