INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face
Autor/es:
BOLLATI, JULIETA; TARZIA, DOMINGO A.
Revista:
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2018 vol. 69 p. 1 - 15
ISSN:
0044-2275
Resumen:
Recently, in Tarzia (Thermal Sci 21A:1?11, 2017) for the classical two-phase Lam´e?Clapeyron?Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restrictionwas obtained. Motivated by this article we study the two-phase Stefan problem for a semi-infinite material with a latent heat defined as a power function of the position and a convective boundary condition at the fixed face. An exact solution is constructed using Kummer functions in case that an inequality for the convective transfer coefficient is satisfied generalizing recent works for the corresponding one-phase free boundary problem. We also consider the limit to our problem when that coefficient goes to infinity obtaining a new free boundary problem, which has been recently studied in Zhou et al. (J Eng Math 2017. https://doi.org/10.1007/s10665-017-9921-y).