Turbulent Pipe Flow-3D

Analysis Characteristics

Reference

White, F.M., Fluid Mechanics, McGraw-Hill (1986).

Problem Description

A three dimensional quarter section of a circular pipe is analyzed to verify the fluid flow and turbulence modeling in Autodesk® CFD. The pressure drop is measured well downstream of the entrance length from 50 meters upstream of the outlet to the outlet:

Geometry and Boundary Conditions

Results

Analytical and numerical calculations of pressure drop are compared. The analytical expression for pressure drop from White (1986) is:

The Darcy friction factor is computed from the Blasius expression:

Substituting = 50m, = 2356.2 and Re = 15000 into the expressions above, the following results are computed:

 Benchmark2018: Build 20170308% Error2019: Build 20180130% Error
  4.02E5 Pa384581.31 Pa4.22384487.83 Pa4.25