Explicit solutions for a two-phase unidimensional Lamé-Clapeyron-Stefan problem with source terms in both phases

DOI10.1016/J.JMAA.2006.05.083zbMath1129.35083OpenAlexW2012778847MaRDI QIDQ868773

Adriana C. Briozzo, Maria F. Natale, Domingo Alberto Tarzia

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.083

zbMATH Keywords

Stefan problemphase-changeLamé-Clapeyron solutionNeumann solutionsublimation-dehydration similarity solution

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 (8)

A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: existence, uniqueness, exponential decay and simulation ⋮ Determination of unknown thermal coefficients in a non-classical Stefan problem ⋮ The Crank-Nicolson-Galerkin finite element method for a nonlocal parabolic equation with moving boundaries ⋮ Non-classical two-phase Stefan problem with variable thermal coefficients ⋮ Finite element schemes for a class of nonlocal parabolic systems with moving boundaries ⋮ Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions ⋮ Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem ⋮ Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

Cites Work

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• An analytical study of the effect of convection heat transfer on the sublimation of a frozen semi-infinite porous medium
• Generalized Lamé-Clapeyron solution for a one-phase source Stefan problem
• The method of the `carry over' of integral transforms in nonlinear mass and heat transfer problems
• Application of a reciprocal transformation to a two-phase Stefan problem
• Modelling thermal front dynamics in microwave heating
• Thermal runaway and microwave heating in thin cylindrical domains
• 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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