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

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Abstract

A one-phase Stefan problem for a semi-infinite material is studied 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 exact solution for these situations are shown. 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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Acknowledgements

The present work has been partially sponsored by the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement 823731 CONMECH and the Projects 80020210100002 and 80020210200003 from Austral University, Rosario, Argentina.

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Authors and Affiliations

  1. CONICET, Buenos Aires, Argentina

    Julieta Bollati & Domingo A. Tarzia

  2. Departamento de Matemática, FCE-Universidad Austral, Paraguay 1950, 2000, Rosario, Argentina

    Julieta Bollati, María F. Natale, José A. Semitiel & Domingo A. Tarzia

Authors
  1. Julieta Bollati
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  2. María F. Natale
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  3. José A. Semitiel
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  4. Domingo A. Tarzia
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Correspondence to Julieta Bollati.

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Communicated by Wei GONG.

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Bollati, J., Natale, M.F., Semitiel, J.A. et al. Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms. Comp. Appl. Math. 41, 375 (2022). https://doi.org/10.1007/s40314-022-02095-8

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  • DOI: https://doi.org/10.1007/s40314-022-02095-8

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