| Issue |
ESAIM: ProcS
Volume 72, 2023
Fourth Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|
|
|---|---|---|
| Page(s) | 143 - 162 | |
| DOI | https://doi.org/10.1051/proc/202372143 | |
| Published online | 09 August 2023 | |
Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework*
Université de Toulon - IMATH, EA 2134, CS 60584, 83041, Toulon CEDEX 9, France
e-mail: gloria.faccanoni@univ-tln.fr & e-mail: cedric.galusinski@univ-tln.fr
This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor). We investigate an advection-diffusion equation with a degenerate and nonlinear diffusion coefficient. The degeneracy corresponds to a liquid-vapor mixture in the original model whereas the diffusion coefficient is non-degenerate in the pure phase cases. We focus on the influence of the diffusion coefficient on a simple 1D configuration for which some analytical computations can be done, leading to a surprising behavior of the phase transition with respect to the diffusion.
Key words: phase change / Stefan problem / nonlinear degenerate diffusion
© EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.