VMFL001

VMFL001
Flow Between Rotating and Stationary Concentric Cylinders

Overview

ReferenceF. M. White. Viscous Fluid Flow. Section 3-2.3. McGraw-Hill Book Co., Inc.. New York, NY. 1991.
SolverAnsys Fluent, Ansys CFX
Physics/ModelsLaminar flow, rotating wall
Input Files

rot_conc_cyl.cas for Ansys Fluent

rotating_cylinder.def for Ansys CFX

Project FilesLink to Project Files Download Page

Test Case

Steady laminar flow between two concentric cylinders is modeled. The flow is induced by rotation of the inner cylinder with a constant angular velocity, while the outer cylinder is held stationary. Due to periodicity only a section of the domain needs to be modeled. In the present simulation a 180° segment (half of the domain shown in Figure 1: Flow Domain) is modeled. The sketch is not to scale.

Figure 1: Flow Domain

Flow Domain

Material PropertiesGeometry Boundary Conditions

Density = 1 kg/m3

Viscosity = 0.0002 kg/m-s

Radius of the Inner Cylinder = 17.8 mm

Radius of the Outer Cylinder = 46.28 mm

Angular velocity of the inner wall = 1 rad/s

Analysis Assumptions and Modeling Notes

The flow is steady. The tangential velocity at various sections can be calculated using analytical equations for laminar flow. These values are used for comparison with simulation results.

Results Comparison for Ansys Fluent

Table 1: Comparison of Tangential Velocity in the Annulus at Various Radial Locations

Tangential Velocity atTarget, m/sAnsys Fluent, m/sRatio
r = 20 mm0.01510.01511.000
r = 25 mm0.01050.01051.000
r = 30 mm0.00720.00721.000
r = 35 mm0.00460.00450.978

Results Comparison for Ansys CFX

Table 2: Comparison of Tangential Velocity in the Annulus at Various Radial Locations

LocationTarget, m/sAnsys CFX, m/sRatio
r = 20 mm0.01510.01500.991
r = 25 mm0.01050.01050.998
r = 30 mm0.00720.00710.988
r = 35 mm0.00460.00450.976