On a separation criterion for symmetric elliptic bluff body flows

A new analytical criterion that captures the onset of separation of flow past elliptic cylinders is derived by considering the variation of the wall normal velocity in Reynolds number parameter space. It is shown that this criterion can be used to calculate the separation Reynolds number Re_s for th...

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Bibliographic Details
Published in:arXiv.org 2006-01
Main Author: Srinivasan, Kaushik
Format: Article
Language:English
Subjects:
Circular cylinders
Computational fluid dynamics
Criteria
Fluid flow
Mathematical analysis
Reynolds number
Separation
Online Access:Get full text
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Summary:A new analytical criterion that captures the onset of separation of flow past elliptic cylinders is derived by considering the variation of the wall normal velocity in Reynolds number parameter space. It is shown that this criterion can be used to calculate the separation Reynolds number Re_s for the classical problem of flow past a circular cylinder, a contentious and unresolved issue till date. The two dimensional Navier-Stokes equations are solved computationally and an exact value of Re_s is obtained by applying the aforementioned criterion.
ISSN:2331-8422