On a separation criterion for symmetric elliptic bluff body flows

2005/11/30 by Kaushik Srinivasan, Srinivasan, Kaushik
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.physics/0511250

4 pages

openalex publication_date 2005/11/30 · arxiv created 2006/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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