VMFLGPU001

VMFLGPU001
Flow Between Rotating and Stationary Concentric Cylinders

Overview

Reference	F. M. White. Viscous Fluid Flow. Section 3-2.3. McGraw-Hill Book Co., Inc.. New York, NY. 1991.
Solver	Ansys Fluent GPU
Physics/Models	Laminar flow, rotating wall
Input Files	`vt001.msh,vmfl001.jou` for Ansys Fluent GPU

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 184: Flow Domain) is modeled. The sketch is not to scale.

Figure 184: Flow Domain

Material Properties	Geometry	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

Material Properties

Geometry

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 GPU

Table 40: Comparison of Tangential Velocity in the Annulus at Various Radial Locations

Tangential Velocity at	Target, m/s	Ansys Fluent GPU, m/s	Ratio
r = 20 mm	0.0151	0.0152	1.006
r = 25 mm	0.0105	0.0105	1.000
r = 30 mm	0.0072	0.0072	1.000
r = 35 mm	0.0046	0.0045	0.978