Free Republic
Browse · Search
General/Chat
Topics · Post Article

Skip to comments.

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
Navigation: use the links below to view more comments.
first 1-2021-37 next last

1 posted on 02/03/2023 1:15:14 PM PST by Red Badger
[ Post Reply | Private Reply | View Replies]

To: SunkenCiv

PinGGG!.................


2 posted on 02/03/2023 1:15:54 PM PST by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Red Badger

I’ve always been baffled by the un-symetric ascent of air bubbles and have spent countless hours pondering same.

Actually, no. I never thought about it.


3 posted on 02/03/2023 1:19:40 PM PST by GeneralisimoFranciscoFranco (I love liberals. They taste like chicken.)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Red Badger

I’m trying to imagine what that sketch of a squiggly line by Leonardo da Vinci is probably worth.


4 posted on 02/03/2023 1:20:05 PM PST by Billthedrill
[ Post Reply | Private Reply | To 1 | View Replies]

To: GeneralisimoFranciscoFranco

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


5 posted on 02/03/2023 1:24:15 PM PST by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
[ Post Reply | Private Reply | To 3 | View Replies]

To: Red Badger
You sure find some interesting information, Red.

Thank you.

6 posted on 02/03/2023 1:29:07 PM PST by Churchillspirit (Pray for President Trump)
[ Post Reply | Private Reply | To 1 | View Replies]

To: nobody in particular

that sketch represents the path of a chinese spy balloon when balloon when shot down


7 posted on 02/03/2023 1:31:05 PM PST by SGCOS (not vaccinated for covid and never will be)
[ Post Reply | Private Reply | To 5 | View Replies]

To: Red Badger
I have been observing this type of phenomenon a lot lately.

unfortunately the bulb burned out and all the 2 new ones I have tried are too hot


8 posted on 02/03/2023 1:38:02 PM PST by algore
[ Post Reply | Private Reply | To 1 | View Replies]

To: SGCOS
that sketch represents the path of a chinese spy balloon when balloon when shot down

LOL!

9 posted on 02/03/2023 1:42:43 PM PST by Tell It Right (1st Thessalonians 5:21 -- Put everything to the test, hold fast to that which is true.)
[ Post Reply | Private Reply | To 7 | View Replies]

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....................”

Same reason why the ‘bubble’ gum is always at the center of a blow pop candy.


10 posted on 02/03/2023 1:44:41 PM PST by LeoTDB69
[ Post Reply | Private Reply | To 5 | View Replies]

To: GeneralisimoFranciscoFranco

Me either. Qualifies a folks who have way too much time on their hands.


11 posted on 02/03/2023 1:45:41 PM PST by RatRipper
[ Post Reply | Private Reply | To 3 | View Replies]

To: Red Badger

DaVinci didn’t even smoke weed


12 posted on 02/03/2023 1:47:39 PM PST by Karliner (Heb 4:12 Rom 8:28 Rev 3, "...This is the end of the beginning." Churchill)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Billthedrill

“I’m trying to imagine what that sketch of a squiggly line by Leonardo da Vinci is probably worth.”

That was my first thought also. No sense chasing a bubble when there’s money to follow.


13 posted on 02/03/2023 1:48:47 PM PST by nomorelurker
[ Post Reply | Private Reply | To 4 | View Replies]

To: Red Badger

“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”

Seems circular (not a pun). What causes the periodic tilting?


14 posted on 02/03/2023 1:55:45 PM PST by steve86 (Numquam accusatus, numquam ad curiam ibit, numquam ad carcerem™)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Red Badger

Nobel Prize worthy discovery?


15 posted on 02/03/2023 2:05:35 PM PST by Verginius Rufus
[ Post Reply | Private Reply | To 1 | View Replies]

To: GeneralisimoFranciscoFranco

” I’ve always been baffled by the un-symetric ascent of air bubbles and have spent countless hours pondering same. “

Will someone please convince my wife that that’s what I was doing with my head down on the bar last Friday night?


16 posted on 02/03/2023 2:13:24 PM PST by _longranger81
[ Post Reply | Private Reply | To 3 | View Replies]

To: GeneralisimoFranciscoFranco
I’ve always been baffled by the un-symetric ascent of air bubbles and have spent countless hours pondering same.

That problem has kept me awake at night. Now I can finally get some sleep.

17 posted on 02/03/2023 2:15:09 PM PST by JPG (MAGA)
[ Post Reply | Private Reply | To 3 | View Replies]

To: Red Badger

I better pour a beer to confirm these findings.


18 posted on 02/03/2023 2:31:47 PM PST by Organic Panic (Democrats. Memories as short as Joe Biden's eyes)
[ Post Reply | Private Reply | To 1 | View Replies]

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....................“

…And so we have the Codex Badger…


19 posted on 02/03/2023 2:39:11 PM PST by TalBlack (We have a Christian duty and a patriotic duty. God help us.)
[ Post Reply | Private Reply | To 5 | View Replies]

To: steve86

“What causes the periodic tilting?“

AThe same question that occurred to me. Also why does it not turn on a center axis and thus remain stable? Clearly they didn’t run all of this by FReepers.


20 posted on 02/03/2023 2:43:33 PM PST by TalBlack (We have a Christian duty and a patriotic duty. God help us.)
[ Post Reply | Private Reply | To 14 | View Replies]


Navigation: use the links below to view more comments.
first 1-2021-37 next last

Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.

Free Republic
Browse · Search
General/Chat
Topics · Post Article

FreeRepublic, LLC, PO BOX 9771, FRESNO, CA 93794
FreeRepublic.com is powered by software copyright 2000-2008 John Robinson