Abstract
The authors describe a numerical model to compute the radial profiles of axial velocities in transient laminar flow in pipelines by using the Lax-Wendroff scheme. These velocities are expanded into a polynomial of the radial coordinate where the polynomial coefficients are expressed in terms of weighted averaged velocities. The weighted averaged shear stresses representing friction forces are defined in terms of the weighted averaged velocities. Fluid pressure and weighted averaged velocities are, therefore, considered as the principle dependent variables. Computed results show a satisfactory agreement with experimental results and numerical simulations solutions of previous works.