Linear nonaxisymmetric oscillations of nearly inviscid liquid bridges

Abstract

Linear nonaxisymmetric oscillations of liquid bridges are analyzed in the limit of large capillary Reynolds number C−1. A boundary layer analysis is used that yields a second approximation of the damping rate and frequency in terms of the capillary Reynolds number, the slenderness of the bridge and the axial and azimuthal wave numbers of the mode being excited. Very good agreement with previous numerical results is obtained for C≲0.01, while the first correction of the damping rate gives a poor approximation, except for unrealistically small values of C (C≲10−5).