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While blowing soap bubbles is familiar to everyone, the underlying physics of inflating them remains unanswered. In our investigation, we visualize the previously unexplored internal airflow experimentally, revealing a toroidal vortical flow that resembles a bound vortex ring.
Soap bubbles are a great way to study the properties of cell membranes. For one thing, they're chemically alike. Both soap molecules and phospholipid molecules — which make up cell membranes — are amphipathic, meaning they have hydrophilic. (water-loving) heads and hydrophobic. (water-hating) tails.
Soaps bubbles can meet in only two ways: Three surfaces meet along a smooth curve and fom1 equal angles of 120 degrees. Six such curves converge at a vertex and form equal angles of approximately 109 degrees.
3 févr. 2021 · Since a soap bubble is a liquid film, we represent it mathematically as a uniformly thin, simply connected region V F of R 3, whose boundary is a disjoint union of three surfaces: the exterior liquid–air interface Σ +, the interior liquid–gas interface Σ − and the interface attached to the substrate Σ S; see figure 1. Figure 1.
Alexandrov’s Soap Bubble Theorem states that if a (smooth) bounded domain1 Ω in RN (N ≥ 2) has boundary ∂Ω with constant mean curvature, then Ω is a ball (and ∂Ω is a sphere). In other words, such a rigidity statement provides the characterization of (smooth)2 local minimizers of the perimeter functional.
31 mars 2017 · March 31, 2017. Researchers solve a mathematical problem illustrated by soap films spanning flexible loops. by Okinawa Institute of Science and Technology. Often used for children's fun, soap...
1 févr. 2024 · The major difference between soap bubbles and cells is that in the former, adjacent soap bubble membranes are fused, whereas the phospholipid bilayer of the cell is not fused but is bound via cell adhesion molecules embedded in the plasma membrane (Fig. 1 A).
