Linear two‐dimensional stability of a Burgers vortex layer

A linear stability analysis is presented for a stationary Burgers vortex layer in irrotational straining flow, to normal mode disturbances invariant in the direction of main flow vorticity. The whole neutral curve is calculated by combining numerical and asymptotic analysis. It is similar to that fo...

Full description

Saved in:
Bibliographic Details
Published inPhysics of fluids (1994) Vol. 8; no. 4; pp. 1024 - 1035
Main Authors Beronov, Kamen N., Kida, Shigeo
Format Journal Article
LanguageEnglish
Published 01.04.1996
Subjects
VORTEX FLOW
INSTABILITY GROWTH RATES
REYNOLDS NUMBER
VISCOUS FLOW
INCOMPRESSIBLE FLOW
Online AccessGet full text

Cover

More Information
Summary:A linear stability analysis is presented for a stationary Burgers vortex layer in irrotational straining flow, to normal mode disturbances invariant in the direction of main flow vorticity. The whole neutral curve is calculated by combining numerical and asymptotic analysis. It is similar to that for free mixing layers which are always unstable, except that there is unconditional stability below a critical Reynolds number, in agreement with the long‐wave asymptotic result by Neu [J. Fluid Mech. 143, 253 (1984)]. The Reynolds number compares shear flow vorticity versus stretching rate and diffusion, so both latter factors are stabilizing if strong enough. Neutral disturbances represent standing waves.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.868879