A Nonsteady Heat Diffusion Problem with Spherical Symmetry
- 1 January 1952
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 23 (1) , 95-98
- https://doi.org/10.1063/1.1701985
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.This publication has 0 references indexed in Scilit: