Stefan problems for the diffusion–convection equation with temperature-dependent thermal coefficients

J Bollati, AC Briozzo - International Journal of Non-Linear Mechanics, 2021 - Elsevier
Different one-phase Stefan problems for a semi-infinite slab are considered, involving a
moving phase change material as well as temperature dependent thermal coefficients …

Numerical simulation of a non-classical moving boundary problem with control function and generalized latent heat as a function of moving interface

Jitendra, V Chaurasiya, KN Rai… - … für Naturforschung A, 2023 - degruyter.com
In this paper, the work is concerned with the study of moving boundary based on non-
classical heat equation that includes a time dependent heat flux and convection. The latent …

A numerical solution of a non-classical Stefan problem with space-dependent thermal conductivity, variable latent heat and Robin boundary condition

A Kumar, Rajeev, JF Gómez-Aguilar - Journal of Thermal Analysis and …, 2022 - Springer
In this article, we have considered a non-classical Stefan problem that involves the space-
dependent thermal conductivity, variable latent heat and Robin boundary condition at the …

Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary …

KN Rai, J Singh - European Journal of Mechanics-B/Fluids, 2021 - Elsevier
The major goal of this article is to analysis a mathematical model of a non-classical one-
dimensional moving boundary problem in the presence of convection effect when one …

Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

J Bollati, MF Natale, JA Semitiel, DA Tarzia - Computational and Applied …, 2022 - Springer
A one-phase Stefan problem for a semi-infinite material is studied for special functional
forms of the thermal conductivity and specific heat depending on the temperature of the …

Determination of unknown thermal coefficients in a non-classical Stefan problem

J Bollati, AC Briozzo, MF Natale - Nonlinear Analysis: Real World …, 2022 - Elsevier
We study a non-classical one phase Stefan problem with a particular control function which
depends on the evolution of the temperature at the fixed face x= 0 and, we assume a …

[HTML][HTML] Mathematical modeling of the thermal process of arc erosion with current carrying heating effect in a temperature gradient

TA Nauryz - Partial Differential Equations in Applied Mathematics, 2024 - Elsevier
This paper presents a mathematical model aimed at comprehensively understanding the
thermal processes associated with arc erosion of closed electrical contacts triggered by the …

A Nonclassical Stefan Problem with Nonlinear Thermal Parameters of General Order and Heat Source Term

A Khanfer, L Bougoffa, S Bougouffa - Axioms, 2023 - mdpi.com
The analytic solution for a general form of the Stefan problem with nonlinear temperature-
dependent thermal parameters and a heat source the term is obtained. We prove the …

Non-classical two-phase Stefan problem with variable thermal coefficients

J Bollati, AC Briozzo - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
We study a one-dimensional two-phase Stefan problem governed by diffusion-convection
equations with a Dirichlet boundary condition at the fixed face, variable thermal coefficients …

[HTML][HTML] Auxiliary functions in the study of Stefan-like problems with variable thermal properties

AN Ceretani, NN Salva, DA Tarzia - Applied Mathematics Letters, 2020 - Elsevier
We address the existence and uniqueness of the so-called modified error function that
arises in the study of phase-change problems with specific heat and thermal conductivity …