This paper presents analytical solutions of a Poiseulle flow of incompressible fluid between two fixed upright concentric circular cylinders subject to slip boundary conditions by considering three different cases. In each case steady state velocity and volume flow rate distribution in the field are determined by applying slip boundary conditions. By utilizing MATLAB the obtained results are visualized in figure. The effect of slip length and a radius of a gap between the cylinders on steady state velocity and volume flow rate distribution of the fluid are discussed. It is found that, velocity profile and volume flow rate distribution of the fluid are affected by a radius of a gap between the cylinders and slip length. The result also indicates that, fluid velocity of distribution decreases when the distance between the two cylinder increases in the vertical fluid motion and maximum velocity distribution occurs at the center line of parallel flow.
