ISSN Online: 2377-424X
International Heat Transfer Conference 4
RADIALLY SYMMETRIC MELTING OF CYLINDERS AND SPHERES
Resumo
The heat conduction problem of cylinders and spheres melting (or solidifying) under arbitrary radially symmetric heating histories is discussed, including
cases in which the heating depends on the radial distance as well as on time. Short-time analytical solutions are explicitly constructed by the "embedding technique" and some general properties of the solutions are derived. These
include generalization of previously published results for a slab, in which conditions for uniqueness of solutions were found, and lack of uniqueness was discovered in certain special problems. Comparisons are presented pertaining to the conditions of stationary melt and instantaneous melt removal, and it is found that (contrary to the slab results) only in certain cases does melting
occur faster in the latter than in the former case, under equal heating rates. General statements of the pertinent comparison and uniqueness theorems are included,
and their predictions are shown to be consistent with the results exhibited by the actual solutions previously mentioned.