The instability of rapidly stretching plastic jets

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Abstract
A stability analysis of a rapidly stretching jet satisfying the equations of motion for a perfectly plastic material is presented. It is found that the stability of the jet depends on a dimensionless parameter Γ that measures the importance of the inertial forces relative to the plastic forces. This parameter is a decreasing function of time. It will be shown that jets with Γ initially very large will be stable until Γ decreases to order unity. These jets will then go unstable and break up into drops whose axial dimension is comparable to their radius. Jets with Γ initially small will always be unstable. It will be shown that these jets tend to break up into drops whose axial dimension is Γ−1/5 times their radius.