Computational error of laminar flow pipeline transport axial flow field

The finite difference method was adopted to compute the computational axial velocity and theoretical analytical method was adopted to compute the theoretical axial velocity of coal water slurry (CWS) pipeline transport axial flow field flowing in the laminar flow, which could be described by Poisson partial differential equation. In order to compare the error between computational axial velocity and theoretical axial velocity of CWS pipeline axial flow field, the absolute error between the computational axial velocity and theoretical axial velocity was calculated and shown in 2D plane and 3D space. For further comparison, the absolute error and relative error between the computational axial velocity and theoretical axial velocity of CWS pipeline axial flow field were calculated and analyzed.