# On the morphology of two-dimensional laminar vortex streets behind   triangles

**Authors:** Ildoo Kim

arXiv: 1905.09361 · 2021-03-05

## TL;DR

This paper investigates the different vortex street structures behind triangles in laminar flow, identifying conditions for separated rows formation through numerical simulation and stability analysis, revealing boundary layer coupling as a key factor.

## Contribution

It introduces a criterion based on boundary layer thickness for the formation of separated vortex rows, supported by numerical and stability analyses.

## Key findings

- Separated rows occur when boundary layer thickness is less than 25% of separation.
- Coupling of boundary layers leads to unstable modes causing separated vortex structures.
- The study links vortex morphology to boundary layer dynamics and stability criteria.

## Abstract

The two-dimensional laminar vortex streets behind a triangle have two morphologically distinct structures depending on the Reynolds number and the aspect ratio of the triangle. These two structures are the conventional structure and the separated rows structure, where the latter is characterized by a thin layer of irrotational fluid between two vortex rows. In this paper, by means of numerical simulation, we find that the separated rows structure occurs when the thickness of boundary layers is less than 25% of their separation distance. We also show from the linear stability analysis that the criterion is related to the coupling of two boundary layers in producing unstable modes.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1905.09361/full.md

## Figures

6 figures with captions in the complete paper: https://tomesphere.com/paper/1905.09361/full.md

## References

27 references — full list in the complete paper: https://tomesphere.com/paper/1905.09361/full.md

---
Source: https://tomesphere.com/paper/1905.09361