Elliptic instability in a Rankine vortex with axial flow

Laurent Lacaze (1) , Anne-Laure Birbaud (1) , Stéphane Le Dizès (1)

1 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre

The elliptic instability of a Rankine vortex with axial flow subject to a weak strain field perpendicular to its axis is analyzed by asymptotic methods in the limit of small strain rate. General unstable modes associated with resonant Kelvin modes of arbitrary azimuthal wavenumbers are considered. Both the effects of axial flow and viscosity are analyzed in details

Laurent Lacaze, Anne-Laure Birbaud, Stéphane Le Dizès. Elliptic instability in a Rankine vortex with axial flow. Physics of Fluids, 2005, 17, pp.017101. ⟨10.1063/1.1814987⟩. ⟨hal-00008487⟩