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A non-linear model has been developed to assess the time evolution of an axisymmetric liquid jet using a boundary-element method. Vorticity transported from the boundary layer in the orifice passage to the free surface is modeled using a potential ring vortex placed at the orifice exit plane. The vortex strength is uniquely determined from the Kutta condition and information regarding the boundary layer thickness at the orifice exit plane. It is shown that primary breakup can occur even in thedoi:10.1016/s0955-7997(03)00083-3 fatcat:t4rmvspmovapxb7lw7b5yjk4t4