Abstract:A numerical model is presented to describe both the transient and steady-state dynamics of viscous threads falling onto a plane. The steady-state coiling frequency Ω is calculated as a function of fall height H. In the case of weak gravity, Ω ∝ H −1 and Ω ∝ H are obtained for lower and higher fall heights respectively. When the effect of gravity is significant, the relation Ω ∝ H 2 is observed. These results agree with the scaling laws previously predicted.The critical Reynolds number for coil-uncoil transitio… Show more
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