Breakup of inviscid compound liquid jets falling under gravity

In this paper, we examine the instability of an axisymmetric inviscid compound liquid jet (subject to axisymmetric disturbances) emerging from a concentric tube and falling vertically under the effects of gravity. We formulate the governing equations and then use a slender jet approximation to consider a one-dimensional model of jet breakup. We determine the steady-state solutions of a falling compound jet. We then numerically simulate breakup and droplet formation using an explicit two-step finite difference scheme. The effects of changing the surface tension and density ratio between the inner and outer fluids is investigated, as is the effect of altering the Froude number.