Numerical calculations of a transient turbulent flow after instantaneous closure of a downstream valve is a single pipe line having an upstream reservoir are made by applying a previous method in which wall shear stress is evaluated from the cross-sectional distribution of instantaneous axial velocities. The variations of pressure, wall shear stress, and the cross-sectional distribution of axial velocities are shown schematically. Numerical analyses of a turbulent-laminar, a laminar, and a quasi-steady flow, and furthermore an analysis using an expression for wall shear stress reported previously are done. Thus calculated results of pressure are compared with experimental data. The critical condition in which analysis of laminar flow is applicable to the region of a transient turbulent flow is also presented.