Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
658425 | International Journal of Heat and Mass Transfer | 2013 | 6 Pages |
Abstract
A one-phase Stefan problem with a variable diffusivity is investigated. For two particular choices of diffusivity—one varying as a power law of position the other as a power function of the potential slope—exact similarity solutions are obtained. Unlike other similarity solutions that involve a time exponent n=12, the derived solutions can exhibit exponents in the range 0 < n < 1. Application of these solutions in the verification of a numerical scheme highlights the importance of a correct numerical treatment for handling variations in diffusivity.
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
V.R. Voller, F. Falcini,