Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face

DOI10.1007/s00033-018-0923-zzbMath1388.35228arXiv1810.04054OpenAlexW3102446363WikidataQ130165476 ScholiaQ130165476MaRDI QIDQ1635940

Julieta Bollati, Domingo Alberto Tarzia

Publication date: 1 June 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04054

zbMATH Keywords

Stefan problemsimilarity solutionexplicit solutionconvective boundary conditionKummer functionvariable latent heatphase-change processes

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05)

Related Items (7)

Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation ⋮ Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ One-phase Stefan-like problems with latent heat depending on the position and velocity of the free boundary and with Neumann or Robin boundary conditions at the fixed face ⋮ On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations ⋮ Approximation of the modified error function

Uses Software

• DLMF

Cites Work

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• An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem

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