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Numerical Computations of Vortex Formation Length in Flow Past an Elliptical Cylinder

Karlson, Matthew and Nita, Bogdan G. and Vaidya, Ashwin (2020) Numerical Computations of Vortex Formation Length in Flow Past an Elliptical Cylinder. Fluids, 5 (3). p. 157. ISSN 2311-5521

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We examine two dimensional properties of vortex shedding past elliptical cylinders through numerical simulations. Specifically, we investigate the vortex formation length in the Reynolds number regime 10 to 100 for elliptical bodies of aspect ratio in the range 0.4 to 1.4. Our computations reveal that in the steady flow regime, the change in the vortex length follows a linear profile with respect to the Reynolds number, while in the unsteady regime, the time averaged vortex length decreases in an exponential manner with increasing Reynolds number. The transition in profile is used to identify the critical Reynolds number which marks the bifurcation of the Karman vortex from steady symmetric to the unsteady, asymmetric configuration. Additionally, relationships between the vortex length and aspect ratio are also explored. The work presented here is an example of a module that can be used in a project based learning course on computational fluid dynamics.


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Item Type: Article
Status: Published
CreatorsEmailPitt UsernameORCID
Karlson, Matthewmdk80@pitt.edumdk80
Nita, Bogdan G.
Vaidya, Ashwin
Date: 9 September 2020
Date Type: Publication
Journal or Publication Title: Fluids
Volume: 5
Number: 3
Publisher: MDPI AG
Page Range: p. 157
DOI or Unique Handle: 10.3390/fluids5030157
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Refereed: Yes
Uncontrolled Keywords: vortex formation length, wake, vortex shedding
ISSN: 2311-5521
Official URL:
Article Type: Research Article
Date Deposited: 14 Dec 2021 14:19
Last Modified: 14 Dec 2021 14:19


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