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Home > Art, Film & Photography > Minimal Surfaces: Soap Bubble
Minimal Surfaces: Soap Bubble

Minimal Surfaces: Soap Bubble


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About the Book

Chapters: Soap Bubble. Source: Wikipedia. Pages: 46. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: A soap bubble is a very thin film of soapy water that forms a sphere with an iridescent surface. Soap bubbles usually last for only a few moments before bursting, either on their own or on contact with another object. They are often used for children's enjoyment, but their usage in artistic performances shows that they can also be fascinating for adults. Soap bubbles can help solving complex mathematical problems of space, as they will always find the smallest surface area between points or edges, for example. Soap bubbles, Jean-Baptiste Simeon Chardin, mid-18th centuryA soap bubble can exist because the surface layer of a liquid (usually water) has a certain surface tension, which causes the layer to behave somewhat like an elastic sheet. However, a bubble made with a pure liquid alone is not stable and a dissolved surfactant such as soap is needed to stabilize a bubble. A common misconception is that soap increases the water's surface tension, soap actually does the opposite, decreasing it to approximately one third the surface tension of pure water. Soap does not strengthen bubbles, it stabilizes them, via an action known as the Marangoni effect. As the soap film stretches, the surface concentration of soap decreases, which in turn causes the surface tension to increase. So soap selectively strengthens the weakest parts of the bubble and tends to prevent them from stretching further. In addition, the soap reduces evaporation so the bubbles last longer, although this effect is relatively small. The spherical shape is also caused by surface tension. The tension causes the bubble to form a sphere, as a sphere has the smallest possible surface area for a given volume. This shape can be visib...More: http: //booksllc.net/?id=37064



Product Details
  • ISBN-13: 9781156536797
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Soap Bubble
  • Width: 229 mm
  • ISBN-10: 1156536790
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Spine Width: 3 mm
  • Weight: 82 gr


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