Researchers used a numerical discretization technique.
, the air-water interface of the bubble can be precisely characterized by the authors of this new study using a numerical discretization technique, allowing them to simulate the bubble's motion and investigate its stability.
They demonstrate that bubbles depart from a straight trajectory in water when their spherical radius exceeds 0.926 millimeters, a result that is within two percent of the experimental values obtained with ultrapure water in the 1990s.
“This is true in particular for the intriguing observation, made already by Leonardo da Vinci, that sufficiently large air bubbles perform a periodic motion, instead of rising along a straight line.”It has been documented since the Renaissance that an air bubble rising in water will deviate from its straight, steady path to perform a periodic zigzag or spiral motion once the bubble is above a critical size.
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