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Unsolved for 500 Years: Researchers Crack Leonardo da Vinci’s Paradox
Scitech Daily ^ | FEBRUARY 3, 2023 | By UNIVERSITY OF SEVILLE, University Of Bristol

Posted on 02/03/2023 1:15:14 PM PST by Red Badger

Bubbles Red Arrow

Five centuries ago, Leonardo da Vinci observed air bubbles deviating from a straight path in a zigzag or spiral motion. However, the cause of this periodic motion remained unknown until now.

Researchers from the universities of Seville and Bristol have solved the mystery surrounding the unsteady path of an air bubble rising in water. Professors Miguel Ángel Herrada of the University of Seville and Jens G. Eggers of the University of Bristol have uncovered a mechanism that explains the erratic movement of bubbles rising in water. The findings, published in the prestigious journal Proceedings of the National Academy of Sciences, could provide insights into the behavior of particles that fall between solid and gas states.

Leonardo da Vinci observed five centuries ago that air bubbles, if big enough, periodically deviate in a zigzag or spiral from a straight-line movement. However, no quantitative description of the phenomenon or physical mechanism to explain this periodic motion had ever been found.

Leonardo’s sketch showing the spiral motion of an ascending bubble (from his manuscript known as the Codex Leicester). Credit: Universidad de Sevilla

The authors of this new paper have developed a numerical discretization technique to characterize precisely the bubble’s air-water interface, which enables them to simulate its motion and explore its stability. Their simulations closely match high-precision measurements of unsteady bubble motion and show that bubbles deviate from a straight trajectory in water when their spherical radius exceeds 0.926 millimeters, a result within 2% of experimental values obtained with ultrapure water in the 90s.

The researchers propose a mechanism for the instability of the bubble trajectory whereby periodic tilting of the bubble changes its curvature, thus affecting the upward velocity and causing a wobble in the bubble’s trajectory, tilting up the side of the bubble whose curvature has increased. Then, as the fluid moves faster and the fluid pressure falls around the high-curvature surface, the pressure imbalance returns the bubble to its original position, restarting the periodic cycle.

Reference: “Path instability of an air bubble rising in water” by Miguel A. Herrada and Jens G. Eggers, 17 January 2023, Proceedings of the National Academy of Sciences. DOI: 10.1073/pnas.2216830120


TOPICS: Education; History; Science; Weird Stuff
KEYWORDS: bubbles; davinci; epigraphyandlanguage; godsgravesglyphs; history; leonardo; leonardodavinci; middleages; paradox; physics; renaissance; science
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To: TalBlack

Inner surface tension...?


21 posted on 02/03/2023 2:47:55 PM PST by tet68 ( " We would not die in that man's company, that fears his fellowship to die with us...." Henry V.)
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To: Red Badger

> I have always wondered why in carbonated drinks, beer, etc, bubble originate at a certain spot over and over for no apparent reason....................

Surface impurities in the container.


22 posted on 02/03/2023 3:09:49 PM PST by Kommodor (Solzhenitsyn was an optimist...)
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To: steve86

“What causes the periodic tilting?”
__________________________

THAT’s my question.

LOL

In all seriousness that’s the question I was wondering....


23 posted on 02/03/2023 3:22:53 PM PST by Notthereyet (NotThereYet. )
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To: Red Badger

I didn’t see this addressed in the article, but, isn’t this just Brownian Motion on a larger level?


24 posted on 02/03/2023 4:24:32 PM PST by Conan the Librarian (Conan the Sailing Librarian)
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To: Billthedrill
Bill Gates paid about $30 million for the 36 pages in 1994. Assuming $4 million a page now, a random drawing could $250k to $1 million.

https://en.m.wikipedia.org/wiki/Codex_Leicester

25 posted on 02/03/2023 5:03:33 PM PST by The Truth Will Make You Free
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To: Red Badger

“I have always wondered why in carbonated drinks, beer, etc, bubble originate at a certain spot over and over for no apparent reason....................”

I’m sure there is a government grant out there for the taking to figure that out.


26 posted on 02/03/2023 5:25:52 PM PST by CapnJack ( )
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To: Karliner

You don’t know that.


27 posted on 02/03/2023 6:24:17 PM PST by BrandtMichaels ( Why I Oughta! Tired of leftards... Bang, Zoom, To The Moon!)
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To: BrandtMichaels

If you find his bong, let me know:>)


28 posted on 02/03/2023 7:03:43 PM PST by Karliner (Heb 4:12 Rom 8:28 Rev 3, "...This is the end of the beginning." Churchill)
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To: Karliner

I wonder why my spearmint loses its flavor on the bedpost overnight


29 posted on 02/03/2023 7:18:27 PM PST by Palio di Siena
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To: Kommodor

Bubbles form when the dissolved gas, carbon dioxide in this example, is super saturated. The gas comes out of solution, forming bubbles, more easily at surface defects and asperities. The bubbles form less easily on smooth surfaces, and even less easily in the bulk liquid, away from any surface. The surface defects typically are always in the same place, so bubbles will preferentially form there, which is what you see.


30 posted on 02/03/2023 10:24:03 PM PST by TruthBringsFreedom
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To: Red Badger
"and when Ben Casey meets Kildare, that's called, a paradox."

31 posted on 02/04/2023 8:33:11 AM PST by SunkenCiv (Imagine an imaginary menagerie manager imagining managing an imaginary menagerie.)
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To: Palio di Siena

Secondary and tertiary usage


32 posted on 02/04/2023 10:28:40 AM PST by whistleduck
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To: Red Badger

Well I will sleep better knowing this.


33 posted on 02/04/2023 10:39:29 AM PST by gitmo (If your theology doesn't become your biography, what good is it?)
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To: Red Badger
bubble originate at a certain spot over and over for no apparent reason....

Leonardo da Vinci’s Second Paradox

34 posted on 02/04/2023 10:44:23 AM PST by Hot Tabasco
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To: Churchillspirit

35 posted on 02/06/2023 5:01:11 AM PST by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
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To: steve86

The friction of the air against the the water cause the bubble to start to spin.....................


36 posted on 02/06/2023 5:08:23 AM PST by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
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To: Kommodor
Surface impurities in the container.

AKA, a dirty glass.......................🤦‍♀️

37 posted on 02/06/2023 5:14:10 AM PST by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
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