Analysis of laminar flow in a porous pipe with slip velocity

In this manuscript, we present the semi-numerical solution for laminar flow in a porous pipe with velocity slip. The flow is analyzed by employing Computer extended series method(CES) and Homotopy analysis method(HAM). The primary objective is to study the influence of non-zero tangential slip velocity on the velocity field and shear stress. The convergence region of the obtained solutions are examined by Domb-Sykes plot and ℏ-curve. The validity of the series solution is further extended to a larger value of Reynolds number for different slip coefficients. Finally, we compared the results obtained by the proposed methods, and are presented in the form of graphs. The above methods admits desired accuracy and are validated with the available numerical results.