A study on cylindrical moving boundary problem with variable thermal conductivity and convection under the most realistic boundary conditions

V Chaurasiya, A Wakif, NA Shah, J Singh - … Communications in Heat and …, 2022 - Elsevier
The melting of a phase change material is the most applicable process in thermal energy
storage system to capture heat transfer phenomena arising in a class of moving boundary …

A numerical study of a moving boundary problem with variable thermal conductivity and temperature-dependent moving PCM under periodic boundary condition

V Chaurasiya, RK Chaudhary, MM Awad… - The European Physical …, 2022 - epjplus.epj.org
The work in this paper concerns the study of a one-phase moving boundary problem with
size-dependent thermal conductivity and moving phase change material. We have …

A one-phase Stefan problem with size-dependent thermal conductivity and moving phase change material under the most generalized boundary condition

V Chaurasiya, R Kumar Chaudhary… - Waves in Random and …, 2022 - Taylor & Francis
In the current paper, we analyzed a one-phase moving boundary problem that includes a
size-dependent thermal conductivity and a moving phase change material under the most …

A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition

A Kumar - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we discuss a Stefan problem that includes a moving phase change material
and a size-dependent thermal conductivity. This model also includes the time-dependent …

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 …

An exact solution to a Stefan problem with variable thermal conductivity and a Robin boundary condition

AN Ceretani, NN Salva, DA Tarzia - Nonlinear Analysis: Real World …, 2018 - Elsevier
In this article it is proved the existence of similarity solutions for a one-phase Stefan problem
with temperature-dependent thermal conductivity and a Robin condition at the fixed face …

Numerical investigation of a non-linear moving boundary problem describing solidification of a phase change material with temperature dependent thermal …

V Chaurasiya, J Singh - Journal of Thermal Stresses, 2023 - Taylor & Francis
Problems related to the change in state of a PCM offer a great contribution in the field of heat
transfer, describing melting, freezing, and sublimation. While most articles already exist on …

[HTML][HTML] A Stefan problem with variable thermal coefficients and moving phase change material

AK Singh, A Kumar - Journal of King Saud University-Science, 2019 - Elsevier
This article describes a one-phase Stefan problem in a semi-infinite domain that involves
temperature-dependent thermal coefficients and moving phase change material with a …

[HTML][HTML] A Stefan problem with temperature and time dependent thermal conductivity

A Kumar, AK Singh - Journal of King Saud University-Science, 2020 - Elsevier
In this paper, a one phase Stefan problem with time and temperature dependent thermal
conductivity is investigated. With the help of similarity transformation and tau method based …

[HTML][HTML] A moving boundary problem with variable specific heat and thermal conductivity

A Kumar, AK Singh - Journal of King Saud University-Science, 2020 - Elsevier
This article presents a Stefan problem including thermal conductivity and heat capacity as
the functions of temperature. At α= β, the exact solutions to the proposed problem are …