标题： 不可压缩溶剂中气泡溶解/生长的热力学一致建模 显示英文标题

标题： Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent

摘要： 我们推导了在压力控制下液体中气泡溶解/生长基本过程的数学模型。 建模从液体和气体相都为完全可压缩的版本开始，以便于评估熵原理。 这产生了一个可压缩两相流的完整偏微分方程组，其中包含气态物质的质量传递。 然后讨论了液体相中不可压缩溶剂的情况，在这种情况下，选择一个合适的液体混合物压力状态方程，使得溶剂密度保持恒定。 最后，我们提供了在稀溶液情况下的偏微分方程组的简化形式。 显示英文摘要

摘要： 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.