Yes, I do this all the time. Hold the bottle vertically with the mouth facing downwards. As the water is pouring out, flick your wrist in an upwards elliptical arc, keeping the mouth facing downwards. It only takes me one or two flicks to create the vortex, and no liquid sprays around or touches me.
Do Australians commonly say "elephant" to count seconds as the presenters do? In the U.S. it's usually "one-thousand" or "Mississippi". (I guess I can imagine that Australians wouldn't say "Mississippi"!)
It didn't when she still had her hand on it, but as soon as the water began to drain, the funnel/vortex immediately connected the mouth with the air pocket at the top.
I feel like this is more than just air flow. You're adding energy into the bottle by causing the water to spin in a whirlpool. It seems like that energy would also help push the water out of the bottle through path of least resistance dynamics (the open end of the bottle).
The counter-argument there is that after you've swirled it, each water particle has to travel a longer path to get out of the neck, because it's corkscrewing rather than going in a straight line.
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[ 2.7 ms ] story [ 66.0 ms ] threadConveniently, the emptying "race" in the video only starts after the whirlpool has been created!
https://www.youtube.com/watch?v=MLeYYMT-3BM
It's kind of a swirling motion.
Edit: fat thumbs
I guess it's something that many people rediscover on a semi-regular basis.
https://en.wikipedia.org/wiki/Highlights_for_Children
It didn't appear to me that the small vortex in the video actually reached all the way down to the mouth of the bottle.
https://www.youtube.com/watch?v=77gWkl0ZUC8
"That's 'cause they are shards of broken glass."
"...on second thought, I'm not really that thirsty."