Figure 4
From: Kinematics of the viscous filament during the droplet breakup in air
(a) Minimum neck diameter \({\kappa =d}_{min}/{d}_{0}\) as function of the relative time \(\tau\) (experiment and numerics from Fig. 2), the scaling of \(\kappa\) with \(\tau\) in the 3 flow regimes: VR (linear)—viscous, TR—transitory, IR—inertial; (b) fitting of the experimental curves \(\kappa \left(\tau \right)\), see AI.2 for comparison with data at \({v}_{0}=1\) mm/s; (c) variation of L and \({x}_{min}\) (see Fig. 1) for the experimental data E2; (d) the thinning velocity \(d\kappa /d\tau\); the value \({v}^{*}\cong 8\) [–/s] is given by the formula3,4 \(d\kappa /d\tau =2\cdot 0.0709/{t}_{v}\). Constant velocities \({v}_{1}^{*}\) and \({v}_{2}^{*}\) corresponds to the linear dependence \(\kappa \left(\tau \right)\) from (a,b).
