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

2022/01/12 by Julieta Bollati, Marı́a F. Natale, Bollati, Julieta +5
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Brake Systems and Friction Analysis #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Phase Change Materials Research

paper · pdf · doi:10.48550/arxiv.2201.04436

openalex publication_date 2022/01/12 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

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.

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