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ON A MULTIPHASE STEFAN PROBLEM
The Quarterly Journal of Mechanics and Applied Mathematics, 1986The multiphase Stefan problem describing the melting (freezing) of a material with two distinct phase-change temperatures is considered. The material is assumed initially to be uniformly at the lowest (highest) fusion temperature. For spherical, cylindrical and planar geometries an integral formulation is obtained which generalizes results for the ...
Dewynne, Jeffrey N., Hill, James M.
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Stefan-like problems with curvature
Journal of Geometric Analysis, 2003Let \(B_1\) be the unit ball in \(\mathbb R^n\) centered at the origin and \(Q_1=B_1 \times (-1, 1)\). the authors consider a free boundary problem in \(Q_1\) resembling the Stefan problem in the fact that the heat equation is satisfied on both sides of the free boundary (with different diffusivities) and the free boundary separates the negativity and ...
I. Athanasopoulos +2 more
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International Journal of Heat and Mass Transfer, 2014
Abstract The solution of the classical one-dimensional Stefan problem predicts that in time t the melt front goes as s ( t ) ∼ t 1 2 . In the presence of heterogeneity, however, anomalous behavior can be observed where the time exponent n ≠ 1 2 .
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Abstract The solution of the classical one-dimensional Stefan problem predicts that in time t the melt front goes as s ( t ) ∼ t 1 2 . In the presence of heterogeneity, however, anomalous behavior can be observed where the time exponent n ≠ 1 2 .
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Stefan problem with convection
Applied Mathematics and Computation, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi, Fahuai, Shih, T. M.
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Stefan Problem with Phase Relaxation
IMA Journal of Applied Mathematics, 1985''Taking account of a microscopical model for dynamical supercooling and superheating effects, the usual equilibrium condition prescribing a fixed temperature at the interface between two phases is replaced by relaxation dynamics for the phase variable \(\chi\), representing the concentration of one of the two phases....
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Journal of Engineering Physics, 1965
In analytical studies of solidification, one usually prescribes the shape of the growing solid and aims to determine the velocity of growth as a function of the various pertinent parameters. The present study assumes the velocity of growth and aims to determine the temperature of the growing surface, for the case of simple geometry. The former class of
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In analytical studies of solidification, one usually prescribes the shape of the growing solid and aims to determine the velocity of growth as a function of the various pertinent parameters. The present study assumes the velocity of growth and aims to determine the temperature of the growing surface, for the case of simple geometry. The former class of
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STEFAN PROBLEM SENSITIVITY AND UNCERTAINTY
Numerical Heat Transfer, 1979Monte Carlo simulation is employed as a tool to investigate the sensitivity and uncertainty of a Stefan moving boundary problem. In the particular ice-water freezing problem employed, the physical property with the largest sensitivity is the ice thermal diffusivity. The ice buildup time for an initial thickness of 5 cm is 3·40 ± 0·19 h.
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1996
The Stefan model of phase transition in solid-liquid systems is introduced. This accounts for heat diffusion in each phase and exchange of latent heat at the solid-liquid interface. Its strong formulation is a free boundary problem, since the interface evolution is a priori unknown. Formulations in one and in several space dimensions are derived.
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The Stefan model of phase transition in solid-liquid systems is introduced. This accounts for heat diffusion in each phase and exchange of latent heat at the solid-liquid interface. Its strong formulation is a free boundary problem, since the interface evolution is a priori unknown. Formulations in one and in several space dimensions are derived.
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Constraining inverse stefan design problems
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1996A new formulation possessing stable numerical characteristics is presented for inverse Stefan design processes. In such processes, the goal is to design transient boundary conditions which produce the desired interfacial surface motion. This subclass of mildly ill-posed mathematical problems is amenable to the proposed solution methodology.
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Quasistationary problem of stefan type
Journal of Soviet Mathematics, 1983An approximative method for solving the quasistationary thermophysical Stefan problem is presented.
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