Asian Journal of Mathematics and Computer Research

This study is to obtain an analytical solution for the Poiseuille flow of an incompressible fluid confined between two fixed concentric circular cylinders with radii R₁ ​and R₂​, under slip boundary conditions and certain simplifying assumptions. Two distinct cases have been considered: parallel flow with slip boundary conditions on both cylinder surfaces, and combinations of slip and no-slip conditions on the inner and outer surfaces, respectively. For each scenario, the steady-state velocity profile and the volume flow rate have been derived and analyzed under various boundary conditions. The findings demonstrate that both the velocity distribution and flow rate are significantly influenced by the annular gap between the cylinders and the slip length. Additionally, it was observed that as the radius of the gap increases, the fluid velocity distribution decreases, with the maximum velocity shifting towards the centerline of the flow in the vertical motion.