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Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition
(Pergamon-Elsevier Science Ltd, 2021-04)
A solidification process for a semi-infinite material is presented through a non-linear two-phase unidimensional Stefan problem, where a convective boundary condition is imposed at the fixed face x=0. The volumetric heat ...
Numerical Simulation of Conduction-Advection Problems with Phase Change
(Planta Piloto de Ingeniería Química, 2001-12)
This paper introduces a finite element temperature-based model to represent conduction-advection dominated heat transfer when the material is undergoing phase-change. A fixed domain method is applied, so that the energy ...
On a two‐phase Stefan problem with convective boundary condition including a density jump at the free boundary
(John Wiley & Sons Ltd, 2020-04)
We consider a two-phase Stefan problem for a semi-infinite body x > 0, with a convective boundary condition including a density jump at the free boundary with a time-dependent heat transfer coefficient of the type h∕ √t, ...
An enrichment scheme for solidification problems
(Springer, 2013-06)
A new enriched finite element formulation for solving isothermal phase change problems is presented. We propose a fixed mesh method, where the discontinuity in the temperature gradient is represented by enriching the finite ...
Determination of unknown thermal coefficients in a Stefan problem for Storm’s type materials
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2018-09)
We consider a nonlinear one-dimensional Stefan problem for a semi-infinite material x> 0 , with phase change temperature Tf. We assume that the heat capacity and the thermal conductivity satisfy a Storm’s condition. A ...
Solving heat conduction problems with phase-change under the heat source term approach and the element-free Galerkin formulation
(Pergamon-Elsevier Science Ltd, 2019-07)
The present work has been conducted in order to introduce an alternative solution for heat transfer problems with phase-change and moving boundaries, via the element-free Galerkin (EFG) method. In this novel approach, the ...
Explicit Solution for the one-phase Stefan problem with latent heat depending on the position and a convective boundary condition at the fixed face
(Dynamic Publishers, Inc, 2018-03)
An explicit solution of a similarity type is obtained for a one-phase Stefan problem in a semi-infinite material using Kummer functions. Itis considered a phase-change problem with a latent heat defined as a powerfunction ...
Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face
(Birkhauser Verlag Ag, 2018-03-02)
Recently, in Tarzia (Thermal Sci 21A:1–11, 2017) for the classical two-phase Lamé–Clapeyron–Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restriction ...
Improving the k-Compressibility of Hyper Reduced Order Models with Moving Sources: Applications to Welding and Phase Change Problems
(Elsevier Science Sa, 2014-06)
The simulation of engineering problems is quite often a complex task that can be time consuming. In this context, the use of Hyper Reduced Order Models (HROMs) is a promising alternative for real-time simulations. In this ...
A new mathematical formulation for a phase change problem with a memory flux
(Pergamon-Elsevier Science Ltd, 2018-11)
A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the ...