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14 October 2024
 
  » arxiv » 2206.00180

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Self-similarity with universal property for soap film and bubble in roll-off stage
Wei-Chih Li ; Chih-Yao Shih ; Tzu-Liang Chang ; Tzay-Ming Hong ;
Date 1 Jun 2022
AbstractAll children enjoy blowing soap bubbles that also show up in our bath and when we wash dishes. We analyze the thinning and breaking of soap bubble neck when it is stretched. To contrast with the open film that is more widely studied, we concentrate on the effect of volume conservation for bubble. Like film (F), non-equilibrium state can be divided into three stages for bubble (B): (1) roll-off, (2) cusp approach, and (3) pinch-off. We manage to establish the existence of two major properties for soap membrane: self-similarity in F-1, B-1, and B-3, but not B-2, and universal behavior for profile in F-1 and B-1. Based on the above discoveries, we show that the process of memory erasing starts earlier than stage 3. We also study how the amount of inflated air and pulling speed affect other equally interesting properties in soap bubble necking, such as whether the evolution of profile and minimum radius for bubble obey scaling laws.
Source arXiv, 2206.00180
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