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Acta Mechanica, 1982
The problem of solidification of two semi-infinite materials with arbitrarily prescribed initial conditions is studied. This is different from the classical Stefan problem; there are no prescribed boundary conditions. It is found that there are, depending on the prescribed initial conditions, four different possibilities: (i) solidification starts ...
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The problem of solidification of two semi-infinite materials with arbitrarily prescribed initial conditions is studied. This is different from the classical Stefan problem; there are no prescribed boundary conditions. It is found that there are, depending on the prescribed initial conditions, four different possibilities: (i) solidification starts ...
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Two-temperature Stefan problem
Physics Letters A, 1995Abstract We consider a two-temperature model for ultrafast melting and solidification observed in pulsed-laser-irradiated materials. The model takes into account energy exchange between the fast relaxing mode related to heat conduction and the slow mode associated with structural rearrangement.
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1980
To solve the two-phase inverse Stefan-problem a numerical method based on an approximation-theoretical approach is proposed. Our procedure consists in a Gauss-Newton-type algorithm adapted to this situation. For that reason we use certain integral equations to derive necessary conditions describing a Frechet-derivative representation of the free ...
Karl-Heinz Hoffmann +1 more
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To solve the two-phase inverse Stefan-problem a numerical method based on an approximation-theoretical approach is proposed. Our procedure consists in a Gauss-Newton-type algorithm adapted to this situation. For that reason we use certain integral equations to derive necessary conditions describing a Frechet-derivative representation of the free ...
Karl-Heinz Hoffmann +1 more
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Mathematical formulation of the stefan problem
International Journal of Engineering Science, 1982Abstract The Stefan problem describes the conduction of heat in a medium involving a solid-liquid phase change at a prescribed melting temperature. Considerations of physical, mathematical and numerical experiences with such problems all imply that enthalpy (not temperature) is the natural dependent variable to specify the solution.
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1989
A large class of mathematical models for phase change problems in thermo-diffusion phenomena belong to the family of the so-called Stefan problems, after the Austrian mathematical-physicist Joseph Stefan, who, exactly one century ago, published a series of papers on some of these problems [St].
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A large class of mathematical models for phase change problems in thermo-diffusion phenomena belong to the family of the so-called Stefan problems, after the Austrian mathematical-physicist Joseph Stefan, who, exactly one century ago, published a series of papers on some of these problems [St].
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2017
The Stefan problem in its classical statement is a mathematical model of the process of propagation of heat in a medium with di erent phase states, e.g., in a medium with liquid and solid phases.The process of propagation of heat in each phase is described by the parabolic equations.
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The Stefan problem in its classical statement is a mathematical model of the process of propagation of heat in a medium with di erent phase states, e.g., in a medium with liquid and solid phases.The process of propagation of heat in each phase is described by the parabolic equations.
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A Stefan problem with temperature and time dependent thermal conductivity
Journal of King Saud University - Science, 2020Rajeev
exaly
An exact solution of a limit case Stefan problem governed by a fractional diffusion equation
International Journal of Heat and Mass Transfer, 2010Vaughan R Voller
exaly
A one-phase Stefan problem with size-dependent thermal conductivity
Applied Mathematical Modelling, 2018Francesc Font
exaly