Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

BOLLATI, J.; NATALE, M. F.; SEMITIEL, J. A.; TARZIA, D. A

COMPUTATIONAL AND APPLIED MATHEMATICS

Springer

Año: 2022 vol. 41 p. 1 - 11

A one-phase Stefan problem for a semi-infinite material is studied for special functionalforms of the thermal conductivity and specific heat depending on the temperature of thephase-change material. Using the similarity transformation technique, an exact solution forthese situations are shown. The mathematical analysis is made for two different kinds of heatsource terms, and the existence and uniqueness of the solutions are proved.