Exact solution for a two-phase Stefan problem with power-type latent heat

2017 ◽  
Vol 110 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Yang Zhou ◽  
Xiang-you Shi ◽  
Guo-qing Zhou
Keyword(s):  
Exact Solution ◽  
Latent Heat ◽  
Stefan Problem ◽  
Power Type ◽  
Two Phase

scholarly journals ABOUT THE EXACT SOLUTION IN TWO PHASE-STEFAN PROBLEM

2007 ◽  
Vol 6 (2) ◽  
pp. 70 ◽  
Author(s):  
A. C. Boucíguez ◽  
R. F. Lozano ◽  
M. A. Lara
Keyword(s):  
Boundary Condition ◽  
Exact Solution ◽  
Stefan Problem ◽  
Two Phase ◽  
Flux Boundary Condition ◽  
Temperature Boundary ◽  
Infinite Slab ◽  
Heat Flux Boundary Condition ◽  
The Relationship ◽  
Temperature Boundary Condition

Two cases of the two - phase Stefan problem in a semi - infinite slab are presented here: one has heat flux boundary condition proportional to t−½ and the other has constant temperature boundary condition. In these two cases the exact solution exists, the relationship between the two boundary conditions is presented here, and the equivalence between the two problems is shown.

scholarly journals PROBLEM FROM THE THEORY OF BRIDGE EROSION

2018 ◽  
pp. 68-74
Author(s):  
S.N. Kharin ◽  
S.A. Kassabek ◽  
M. Slyamkhan
Keyword(s):  
Exact Solution ◽  
Mathematical Models ◽  
Stefan Problem ◽  
Error Function ◽  
Two Phase ◽  
Bridge Problem ◽  
Radial Heat ◽  
Integral Error

In this paper, we represent the exact solution of a two phase Stefan problem. Radial heat polynomialsand integral error function are used for solving bridge problem. The recurrent expressions for the coefficients of these series are presented. The mathematical models describe the dynamics of contact opening and bridging. Keywords: radial heat polynomials, Stefan problem.

Exact solution of two phase spherical Stefan problem with two free boundaries

2016 ◽  
Author(s):  
Alexey A. Kavokin ◽  
Targyn Nauryz ◽  
Nazerke T. Bizhigitova
Keyword(s):  
Exact Solution ◽  
Stefan Problem ◽  
Free Boundaries ◽  
Two Phase

scholarly journals On the Two-phase Fractional Stefan Problem

2020 ◽  
Vol 20 (2) ◽  
pp. 437-458 ◽  
Author(s):  
Félix del Teso ◽  
Jørgen Endal ◽  
Juan Luis Vázquez
Keyword(s):  
Free Boundary ◽  
Stefan Problem ◽  
Free Boundary Problems ◽  
Classical Problem ◽  
Nonlocal Diffusion ◽  
Two Phase ◽  
Boundary Problems ◽  
Numerical Studies ◽  
The One ◽  
Evolution Type

AbstractThe classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion. We start the paper by reviewing the main properties of the classical problem that are of interest to us. Then we introduce the fractional Stefan problem and develop the basic theory. After that we center our attention on selfsimilar solutions, their properties and consequences. We first discuss the results of the one-phase fractional Stefan problem, which have recently been studied by the authors. Finally, we address the theory of the two-phase fractional Stefan problem, which contains the main original contributions of this paper. Rigorous numerical studies support our results and claims.

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