info:eu-repo/semantics/article
On a two‐phase Stefan problem with convective boundary condition including a density jump at the free boundary
Fecha
2020-04Registro en:
Briozzo, Adriana Clotilde; Natale, María Fernanda; On a two‐phase Stefan problem with convective boundary condition including a density jump at the free boundary; John Wiley & Sons Ltd; Mathematical Methods In The Applied Sciences; 43; 6; 4-2020; 3744-3753
0170-4214
1099-1476
CONICET Digital
CONICET
Autor
Briozzo, Adriana Clotilde
Natale, María Fernanda
Resumen
We consider a two-phase Stefan problem for a semi-infinite body x > 0, with a convective boundary condition including a density jump at the free boundary with a time-dependent heat transfer coefficient of the type h∕ √t, h > 0 whose solution was given in D. A. Tarzia, PAMM. Proc. Appl. Math. Mech. 7, 1040307–1040308 (2007). We demonstrate that the solution to this problem converges to the solution to the analogous one with a temperature boundary condition when the heat transfer coefficient h → +∞. Moreover, we analyze the dependence of the free boundary respecting to the jump density.