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** Laminar Flow Over a Cylinder **

## Laminar Flow over a Circular Cylinder

**Figure 1. Mach number contours.**

### Flow Description

This valiation case describes laminar flow over a circular cylinder. The incoming flow is uniform at the freestream conditions given in Table 1. The resulting Reynolds number based on diameter is 150, which corresponds to a flow which is essentially two dimensional and has periodic vortex shedding.^{1,2}

**Table 1. Freestream conditions.**
Mach |
Pressure (psia) |
Temperature (R) |
Angle-of-Attack (deg) |
Angle-of-Sideslip (deg) |

0.2 |
0.00045146 |
500.0 |
0.0 |
0.0 |

### Geometry

The geometry is a circular cylinder with a diameter of 1.0 meter.

### Computational Domain and Boundary Conditions

The computational domain extends 200 cylinder diameters out from the cylinder.

### Comparison Data

We will compare the average drag coefficient and the dimensionless shedding frequency, or Strouhal number, with the experimental results of Roshko^{2} and Schlicting^{3}.

### Computational Studies

** Table 2. Computational studies peformed for the
laminar circular cylinder case. **
Study |
Category |
Person |
Comments |

Study #1 |
Validation |
Chris Nelson |
Compares the full block implicit 1st and 2nd order operators with and without the Global Newton time stepping. |

### References

1. Nichols, R. H., and Heikkinen, B. D., "Validation of Implicit Algorithms for Unsteady Flows Including Moving and Deforming Grids," AIAA Paper 2005-0683, 2005.

2. Roshko, A., "On the Development of Turbulent Wakes from Vortex Streets," NACA Report 1191, 1954.

3. Schlicting, H., Boundary-Layer Theory, Sixth Edition, p 17, McGraw-Hill Book Company, 1968.

Last Updated: Wednesday, 10-Feb-2021 09:38:59 EST