%0 Journal Article %1 citeulike:4285441 %A Birkhoff, G. %A Margulies, R. S. %A Horning, W. A. %D 1958 %J Physics of Fluids %K 82b26-phase-transitions 76t10-liquid-gas-two-phase-flows-bubbly-flows 76r50-diffusion 80a22-stefan-problems-phase-changes-etc %N 3 %P 201--204 %R 10.1063/1.1724342 %T Spherical Bubble Growth %U http://sits/browse/LIB-265 %V 1 %X Plesset and Zwick M. S. Plesset and S. A. Zwick, J. Appl. Phys. 23, 95–98 (1952); 25, 493–500 (1954); J. Math. Phys. 33, 308–330 (1955) have calculated the rate of growth of vapor bubbles in slightly superheated steam under constant external pressure. Their calculation assumes that the temperature drop is localized in a thin ``boundary layer'' near the bubble wall; the predicted bubble radius R(t) is asymptotically proportional to t1/2 when R is large enough for surface tension to be negligible. An analysis of this asymptotic phase is given, which avoids the above ``boundary layer'' assumption, and contains that part of the analysis of Plesset and Zwick dealing with this phase as a limiting case. The analysis is shown to be (approximately) applicable also to gas bubbles in supersaturated liquids.

@article{citeulike:4285441, abstract = {{Plesset and Zwick [M. S. Plesset and S. A. Zwick, J. Appl. Phys. 23, 95–98 (1952); 25, 493–500 (1954); J. Math. Phys. 33, 308–330 (1955)] have calculated the rate of growth of vapor bubbles in slightly superheated steam under constant external pressure. Their calculation assumes that the temperature drop is localized in a thin ``boundary layer'' near the bubble wall; the predicted bubble radius R(t) is asymptotically proportional to t1/2 when R is large enough for surface tension to be negligible. An analysis of this asymptotic phase is given, which avoids the above ``boundary layer'' assumption, and contains that part of the analysis of Plesset and Zwick dealing with this phase as a limiting case. The analysis is shown to be (approximately) applicable also to gas bubbles in supersaturated liquids.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Birkhoff, G. and Margulies, R. S. and Horning, W. A.}, biburl = {https://www.bibsonomy.org/bibtex/241f6f1e69cbbb391e57428a23ca9bc46/gdmcbain}, citeulike-article-id = {4285441}, citeulike-linkout-0 = {http://sits/browse/LIB-265}, citeulike-linkout-1 = {http://swiki/display/lib/Spherical+Bubble+Growth}, citeulike-linkout-2 = {http://dx.doi.org/10.1063/1.1724342}, comment = {(private-note)Cited by Barlow \& Langlois (1962, at p. 335) for a self-similar solution.}, doi = {10.1063/1.1724342}, interhash = {c5138f11e32f882b4fd7c3b64bc3f167}, intrahash = {41f6f1e69cbbb391e57428a23ca9bc46}, issn = {00319171}, journal = {Physics of Fluids}, keywords = {82b26-phase-transitions 76t10-liquid-gas-two-phase-flows-bubbly-flows 76r50-diffusion 80a22-stefan-problems-phase-changes-etc}, number = 3, pages = {201--204}, posted-at = {2009-04-08 01:51:44}, priority = {2}, timestamp = {2019-05-30T02:19:43.000+0200}, title = {{Spherical Bubble Growth}}, url = {http://sits/browse/LIB-265}, volume = 1, year = 1958 }