Volume 72, 2023Fourth Workshop on Compressible Multiphase Flows: Derivation, closure laws, thermodynamics
|Page(s)||143 - 162|
|Published online||09 August 2023|
Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework*
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.
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