Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms
Analysis of PDEs
2022-01-13 v1 Mathematical Physics
math.MP
Abstract
A one-phase Stefan problem for a semi-infinite material is investigated for special functional forms of the thermal conductivity and specific heat depending on the temperature of the phase-change material. Using the similarity transformation technique, an explicit solution for these situations are showed. The mathematical analysis is made for two different kinds of heat source terms, and the existence and uniqueness of the solutions are proved.
Keywords
Cite
@article{arxiv.2201.04436,
title = {Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms},
author = {Julieta Bollati and María F. Natale and José A. Semitiel and Domingo A. Tarzia},
journal= {arXiv preprint arXiv:2201.04436},
year = {2022}
}
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16 pages, 0 figures