VMFL005

VMFL005
Poiseuille Flow in a Pipe

Overview

Reference F.M. White. Fluid Mechanics. 3rd Edition. McGraw-Hill Book Co., New York, NY. 1994.

Solver Ansys Fluent, Ansys CFX

Physics/Models Steady laminar flow

Input File

poiseuille-flow.cas for Ansys Fluent

VMFL005B_VV005CFX.def for Ansys CFX

Project Files Link to Project Files Download Page

Test Case

Fully developed laminar flow in a circular tube is modeled. Reynolds number based on the tube diameter is 500. Only half of the axisymmetric domain is modeled.

Figure 7: Flow Domain

Material Properties	Geometry	Boundary Conditions
Density = 1 kg/m³ Viscosity = 1e-5 kg/m-s	Length of the pipe = 0.1 m Radius of the pipe = 0.00125 m	Fully developed laminar velocity profile at inlet with an average velocity of 2.00 m/s

Material Properties

Geometry

Boundary Conditions

Density = 1 kg/m³

Viscosity = 1e-5 kg/m-s

Length of the pipe = 0.1 m

Radius of the pipe = 0.00125 m

Fully developed laminar velocity profile at inlet with an average velocity of 2.00 m/s

Analysis Assumptions and Modeling Notes

The flow is steady. A fully developed laminar velocity profile is prescribed at the inlet. Hagen-Poiseuille equation is used to determine the pressure drop analytically.

Results Comparison for Ansys Fluent

Table 7: Comparison of Pressure Drop in the Pipe

	Target	Ansys Fluent	Ratio
Pressure Drop, Pa	10. 24	10.22	0.998

Results Comparison for Ansys CFX

Table 8: Comparison of Pressure Drop in the Pipe

	Target	Ansys CFX	Ratio
Pressure Drop, Pa	10. 24	10.49	1.024