Analysis Characteristics
- Steady-state
- 2D internal flow
- Axisymmetric
- Laminar
- Incompressible
Reference
White, F.M., Fluid Mechanics, McGraw-Hill (1986).
Problem Description
A 2D circular pipe is analyzed to verify the fluid flow modeling capabilities of
Autodesk® CFD. The Reynolds number based on the pipe diameter,
, is 477. The pressure drop
is measured across an interval approximately 60m downstream of the inlet:
Geometry and Boundary Conditions
Results
Analytical and numerical calculations of pressure drop are compared. The analytical expression for pressure drop
from White (1986) is:
-
is the Darcy friction factor
-
is the mass flow
-
is the pipe length across which is measured
The Darcy friction factor is computed from the linear expression:
This pressure drop equation applies to fully developed flows so the pressure drop extracted from the numerical results starts from a point that is 60.0 meters down-stream of the inlet.
Using these parameters:
-
=40 .0m.
= 75.0
=477
in the expressions above, the following results are computed:
| Benchmark | 2016: Build 20150209 | % Error | 2017: Build 20160302 | % Error | |
|
|
1529.376 Pa | 1514.09 Pa | 0.999 | 1514.09 Pa | 0.999 |