Numerical Computation of Laminar Flow Pipeline Transport Axial Flow Field

The finite difference method is adopted to compute the 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 this work, the finite difference method was used to compute the computational axial velocity. The axial velocity contour of CWS pipeline axial flow field was presented in the three-dimensional (3D) space, and the relationship curve between axial velocity and cross sectional diameter of CWS pipeline axial flow field was shown in a two-dimensional (2D) plane. The presentation results showed that the axial velocity of the CWS pipeline axial flow field increased from the boundary of the pipeline wall to the center of the CWS pipeline axial flow field, the increasing tendency between axial velocity and cross sectional diameter of the CWS pipeline axial flow field conformed to nonlinear relationship, furthermore, and the relationship curves between axial velocity and cross sectional diameter approximated the parabolic contour. Furthermore, the conclusions of the numerical computation of laminar flow pipeline transport axial flow field studied in the finite element method and finite difference method was compared.