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Analysis of a deflating soap bubble
3.An excellent introduction to the scientific aspects of soap bubbles can be found in Cyril Isenberg, The Science of Soap Films and Soap Bubbles (Dover, New York, 1992).
4.M. A. Rutgers, X. L. Wu, and W. B. Daniel, “Conducting fluid dynamics experiments with vertically falling soap films,” Rev. Sci. Instrum. 72, 3025–3037 (2001).
6.D. E. Moulton and J. Lega, “Reverse draining of a magnetic soap film—Analysis and simulation of a thin film equation with non-uniform forcing,” Physica D 238, 2153–2165 (2009).
8.A complicated recipe (from a physicist’s perspective) for very long-lived soap bubbles is given by A. L. Kuehner, “Long-lived soap bubbles,” J. Chem. Educ. 35, 337–338 (1958).
9.Although it would seem that the precise detergent is unimportant, we found Dawn Ultra to perform significantly better than other detergents.
10.F. L. Román, J. Faro, and S. Velasco, “A simple experiment for measuring the surface tension of soap solutions,” Am. J. Phys. 69, 920–921 (2001).
11.We use a paper towel soaked in soap solution and rub it across the top of the tube to prep the system for bubble blowing.
National Instruments equipment and software can be found at ⟨www.ni.com
13.See, for example, T. E. Faber, Fluid Dynamics for Physicists (Cambridge U. P., Cambridge, 1995).
16.As expected, the fourth-power dependence on causes a full sphere with to take times longer to deflate than a full sphere with (which collapses at ).
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