Accession Number : AD0495988

Title :   A Non-Steady Heat Diffusion Problem with Spherical Symmetry,

Corporate Author : CALIFORNIA INST OF TECH PASADENA HYDRODYNAMICS LAB

Personal Author(s) : Plesset, M. S. ; Zwick, S. A.

Report Date : 22 AUG 1951

Pagination or Media Count : 9

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)

Descriptors :   *HEAT TRANSFER), (*THERMAL DIFFUSION, MATHEMATICAL ANALYSIS), (*BUBBLES, DIFFUSION, SPHERES, TEMPERATURE, VAPORS, LIQUIDS, APPROXIMATION(MATHEMATICS), MATHEMATICAL MODELS, NUCLEATE BOILING, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL TRANSFORMS.

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE