# Oscillating Laminar Flow Around a Circular Cylinder

In this application, AcuSolve is used to simulate two dimensional, laminar flow over a cylinder to predict separation of flow from the cylinder surface and the flow in the wake area. AcuSolve results are compared with experimental results as described in Tritton (1959). The close agreement of AcuSolve results with experimental results validates the ability of AcuSolve to model cases with unsteady oscillating vortex streets.

## Problem Description

^{3}and the viscosity is 0.001 kg/m-s. The Reynolds number for this problem is 100.

## AcuSolve Results

where ω is the dominant frequency of oscillations, L is the diameter of the cylinder, and v is the flow velocity.

Experimental | AcuSolve | |
---|---|---|

Strouhal number | 0.165 | 0.167 |

## Summary

In this application, two dimensional flow over a cylinder is achieved by enforcing symmetry conditions on the front and back surfaces of the flow domain. The laminar, unsteady simulation shows the flow separation that leads to alternating vortex shedding. Frequency of the lift force acting on the cylinder is calculated to evaluate the Strouhal number. The AcuSolve solution compares well with results reported by Tritton (1959), differing from the experimental results by less than 1.5 percent. In this application, AcuSolve demonstrates the ability to accurately predict oscillating laminar flow around a circular cylinder.

## Simulation Settings for Oscillating Laminar Flow Around a Circular Cylinder

AcuConsole database file: <your working directory>\cylinder_laminar\cylinder_laminar.acs

Global

- Problem Description
- Analysis type - Transient
- Turbulence equation - Laminar

- Auto Solution Strategy
- Analysis type - Transient
- Max time -
`600`sec - Initial time increment -
`0.1`sec

- Material Model
- Fluid
- Density -
`1.0`kg/m3 - Viscosity -
`1.0e-3`kg/m-sec

- Density -

- Fluid
- Output
- Nodal Initial Condition
- Pressure initial condition - Nodal Values
- Nodal Values - (provided in .acs)
- Velocity initial condition - Nodal Values
- Nodal Values - (provided in .acs)

Model

- Nodal Initial Condition
- Volumes
- Volume
- Element Set
- Material model - Fluid

- Element Set

- Volume
- Surfaces
- Back
- Simple Boundary Condition
- Type - Symmetry

- Simple Boundary Condition
- Base
- Simple Boundary Condition
- Type - Slip

- Simple Boundary Condition
- Front
- Simple Boundary Condition
- Type - Symmetry

- Simple Boundary Condition
- Inflow
- Simple Boundary Condition
- Type - Inflow
- Inflow Type - Average velocity
- Average Velocity -
`0.5`m/sec

- Simple Boundary Condition
- Outflow
- Simple Boundary Condition
- Type - Outflow

- Simple Boundary Condition
- Top
- Simple Boundary Condition
- Type - Slip

- Simple Boundary Condition

- Back

## References

D.J. Tritton. "Experiments on the Flow around a Circular Cylinder at Low Reynolds Number". Journal of Fluid Mech. 6(04):547-567. 1959