RT Journal Article
T1 Linear instability of a corrugated vortex sheet
A1 Kawahara, Genta
A1 Jiménez, J.
A1 Uhlmann, Markus
A1 Pinelli, Alfredo
AB The linear inviscid instability of an infinitely thin vortex sheet, periodically corrugated with finite amplitude along the spanwise direction, is investigated analytically. Two types of corrugations are studied, one of which includes the presence of an impermeable wall. Exact eigensolutions are found in the limit of a very long wavelength. The sheets are unstable to both sinuous and varicose disturbances. The former is generally found to be more unstable, although the difference only appears for finite wavelengths. The effect of the corrugation is shown to be stabilizing, although in the wall-bounded sheet the effect is partly compensated by the increase in the distance from the wall. The instability is traced to a pair of oblique Kelvin-Helmholtz waves in the flat-sheet limit.
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/58599
UL https://hdl.handle.net/20.500.14352/58599
DS Docta Complutense
RD 18 may 2024