%0 Journal Article %1 citeulike:4285422 %A Plesset, M. S. %A Zwick, S. A. %D 1952 %I AIP %J Journal of Applied Physics %K 82b26-phase-transitions 76t10-liquid-gas-two-phase-flows-bubbly-flows 80a20-heat-and-mass-transfer 76r50-diffusion %N 1 %P 95--98 %R 10.1063/1.1701985 %T A Nonsteady Heat Diffusion Problem with Spherical Symmetry %U http://dx.doi.org/10.1063/1.1701985 %V 23 %X A solution in successive approximations is presented for the heat diffusion across a spherical boundary with radial motion. The approximation procedure converges rapidly provided the temperature variations are appreciable only in a thin layer adjacent to the spherical boundary. An explicit solution for the temperature field is given in the zero order when the temperature at infinity and the temperature gradient at the spherical boundary are specified. The first-order correction for the temperature field may also be found. It may be noted that the requirements for rapid convergence of the approximate solution are satisfied for the particular problem of the growth or collapse of a spherical vapor bubble in a liquid when the translational motion of the bubble is neglected.

@article{citeulike:4285422, abstract = {{A solution in successive approximations is presented for the heat diffusion across a spherical boundary with radial motion. The approximation procedure converges rapidly provided the temperature variations are appreciable only in a thin layer adjacent to the spherical boundary. An explicit solution for the temperature field is given in the zero order when the temperature at infinity and the temperature gradient at the spherical boundary are specified. The first-order correction for the temperature field may also be found. It may be noted that the requirements for rapid convergence of the approximate solution are satisfied for the particular problem of the growth or collapse of a spherical vapor bubble in a liquid when the translational motion of the bubble is neglected.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Plesset, M. S. and Zwick, S. A.}, biburl = {https://www.bibsonomy.org/bibtex/20c07f6eafcefe185811ca0aa79c77496/gdmcbain}, citeulike-article-id = {4285422}, citeulike-attachment-1 = {plesset_52_nonsteady_33711.pdf; /pdf/user/gdmcbain/article/4285422/33711/plesset_52_nonsteady_33711.pdf; 80a53fb2f6a57db88d4159b230342a33120f41f2}, citeulike-linkout-0 = {http://dx.doi.org/10.1063/1.1701985}, citeulike-linkout-1 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=JAPIAU000023000001000095000001\&idtype=cvips\&gifs=yes}, citeulike-linkout-2 = {http://link.aip.org/link/?JAP/23/95}, comment = {(private-note)Cited by Barlow \& Langlois (1962, at p. 332); found in SBR library.}, doi = {10.1063/1.1701985}, file = {plesset_52_nonsteady_33711.pdf}, interhash = {145598dec93ab0649b3ac2562ca0b55b}, intrahash = {0c07f6eafcefe185811ca0aa79c77496}, journal = {Journal of Applied Physics}, keywords = {82b26-phase-transitions 76t10-liquid-gas-two-phase-flows-bubbly-flows 80a20-heat-and-mass-transfer 76r50-diffusion}, number = 1, pages = {95--98}, posted-at = {2009-04-08 01:18:25}, priority = {2}, publisher = {AIP}, timestamp = {2019-03-28T05:26:48.000+0100}, title = {{A Nonsteady Heat Diffusion Problem with Spherical Symmetry}}, url = {http://dx.doi.org/10.1063/1.1701985}, volume = 23, year = 1952 }