TY - JOUR
T1 - The effect of viscosity on the stability of planar vortices with fine structure
AU - Hall, I.M.
AU - Bassom, Andrew
AU - Gilbert, A.D.
PY - 2003/11/1
Y1 - 2003/11/1
N2 - We examine the viscous response of sharp-edged vortices surrounded by fine structure. Such compact vortices admit normal mode solutions, and when weak vorticity is superimposed around the edge of the vortex a quasi-mode appears. A critical layer is formed at the location at which the angular velocity of the fluid matches the frequency of the normal mode. Fine-scale vorticity within this layer, combined with the presence of viscosity, can affect the stability of the quasi-mode in a number of ways. Here we discuss briefly one situation for which viscosity can have a destabilizing effect.
AB - We examine the viscous response of sharp-edged vortices surrounded by fine structure. Such compact vortices admit normal mode solutions, and when weak vorticity is superimposed around the edge of the vortex a quasi-mode appears. A critical layer is formed at the location at which the angular velocity of the fluid matches the frequency of the normal mode. Fine-scale vorticity within this layer, combined with the presence of viscosity, can affect the stability of the quasi-mode in a number of ways. Here we discuss briefly one situation for which viscosity can have a destabilizing effect.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-0346055624&partnerID=MN8TOARS
UR - https://www.scopus.com/pages/publications/0346055624
U2 - 10.1093/qjmam/56.4.649
DO - 10.1093/qjmam/56.4.649
M3 - Article
SN - 0033-5614
VL - 56
SP - 649
EP - 657
JO - The Quarterly Journal of Mechanics and Applied Mathematics
JF - The Quarterly Journal of Mechanics and Applied Mathematics
IS - 4
ER -