The coupling of Marangoni and capillary instabilities in an annular thread of liquid

Abstract

A motionless liquid bridge with annular cross section is bounded on the inside by a heated rod and on the outside by a deformable interface. This bridge is subjected to both capillary and classical Marangoni instabilities. In this paper, the linear stability of this annular thread of liquid, under zero gravity, is studied. The coupling of both instabilities gives rise to unstable traveling waves. Furthermore, it is shown that the Marangoni instability cannot stabilize capillary breakup.