Results 271 to 280 of about 43,457 (303)

The Stefan Problem

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 Problem with Nonlinear Convection

Journal of Partial Differential Equations, 1992
A time dependent bidimensional Stefan problem with a nonlinear convection governed by a Navier-Stokes equation in the fluid phase is considered. The main result in the paper is the existence of a weak solution for this problem. To prove this, the author introduces an approximating problem with a penalty term acting on the fluid region.
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The Stefan Problem of a Polymorphous Material

Journal of Applied Mechanics, 1979
The problem of freezing or melting of a polymorphous material in a semi-infinite region with arbitrarily prescribed initial and boundary conditions is studied. Exact solutions of the problem are established. The solutions of temperature of all phases are expressed in polynomials and functions in the error integral family and time t and the position of ...
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STEFAN PROBLEM SENSITIVITY AND UNCERTAINTY

Numerical Heat Transfer, 1979
Monte 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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Quasistationary Approximation for the Stefan Problem

Journal of Mathematical Sciences, 2006
Summary: To justify the quasistationary approximation for the Stefan problem, the difference between the solution to the Hele-Shaw problem and the solution to the Stefan problem with small parameter \(\varepsilon\) at the time-derivative in the equation is considered.
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Stefan Problem with Surface Tension

1989
This paper deals with models of phase transition in liquid-solid systems accounting for latent heat release or absorption, heat diffusion and surface tension effects. These phenomena are described by introducing the classical Gibbs-Thomson law into the two-phase Stefan problem.
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Quasistationary problem of stefan type

Journal of Soviet Mathematics, 1983
An approximative method for solving the quasistationary thermophysical Stefan problem is presented.
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Corner Formation for the Undercooled Stefan Problem

SIAM Journal on Applied Mathematics, 2001
This paper contains an extensive analysis of the development of corners in the free boundary for the one-phase undercooled Stefan problem in two and three space dimensions. A concise review of the studies of the singularities of the Stefan problem is presented in the introduction.
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The Stefan problem

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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On the Adomian decomposition method for solving the Stefan problem

International Journal of Numerical Methods for Heat and Fluid Flow, 2015
Lazhar Bougoffa, Randolph Rach, Abdul-Majid Wazwaz   +2 more
exaly