A Non-Steady Heat Diffusion Problem with Spherical Symmetry,
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. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 22, 1951
- Accession Number
- AD0495988
Entities
People
- M. S. Plesset
- S. A. Zwick
Organizations
- California Institute of Technology