POSTSUBSCRIPT with an error of 1 mm and 1 sec respectively. We use normal video with a body frequency of 30 frames per second. In determine 2, we show a sequence of how the smooth dimple evolves in time to grow to be cusp-like. POSTSUBSCRIPT the interface undergoes a topological transition in a fashion analogous to the pinch-off of a viscous thread. As the liquid drains, the liquid-air interface dimples above the drain gap. Notice the transition from a smooth dimple in figure 2a to a sharp interface in figure 2b. In figure 2c the free surface enters the outlet. Begins to entrain a thread of air. The bottom of the cusp is much beneath the bottom of the container. POSTSUBSCRIPT measured from the bottom surface of the container. That is checked by looking on the video frame simply earlier than some air bubbles begin nucleating on the dimple’s apex. As the extent of the liquid falls in the course of the liquid drainage, the dimple turns into sharper.
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