Numerical research has been done on entrance region flow of Bingham non-Newtonian fluid in a concentric with an annulus revolving exterior walls. Internal cylinder is thought to be motionless when rotating outer cylinder at a fixed angular velocity ω, the pressure P distribution in the radial direction R and the velocity components U,V, and W are obtained using finite difference analysis. The momentum, continuity equations are solved repeatedly by the finite difference method under the boundary layer assumptions of Prandtl. For a variety of non-Newtonian flow qualities and geometrical elements, computational results are achieved. Analysis has been done on the evolution of the pressure distribution, profile of tangential velocity, profile of radial velocity, and profile of axial velocity in the entrance area. The results of the current study were compared with those reported in the literature for different specific cases, similarly they were determined to be consistent