Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent
Fluid Dynamics
2014-03-04 v1
Abstract
We derive mathematical models of the elementary process of dissolution/growth of bubbles in a liquid under pressure control. The modeling starts with a fully compressible version, both for the liquid and the gas phase so that the entropy principle can be easily evaluated. This yields a full PDE system for a compressible two-phase fluid with mass transfer of the gaseous species. Then the passage to an incompressible solvent in the liquid phase is discussed, where a carefully chosen equation of state for the liquid mixture pressure allows for a limit in which the solvent density is constant. We finally provide a simplification of the PDE system in case of a dilute solution.
Keywords
Cite
@article{arxiv.1403.0248,
title = {Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent},
author = {Dieter Bothe and Kohei Soga},
journal= {arXiv preprint arXiv:1403.0248},
year = {2014}
}