标题： 等温条件下液体动态蒸发的解析解 显示英文标题

标题： Analytical solution for dynamic evaporation of liquid in isothermal condition

摘要： 基于弥散界面模型，本文提出了一种适用于欠饱和压力下恒温蒸发问题的解析解。 宏观方程通过自由能方法推导得出，该方法在格子玻尔兹曼文献中被广泛认可，从而将我们的方法与传统依赖跃变条件或纯动力学理论的蒸发模型区分开来。 界面行为完全由微分方程描述，无需假设诸如界面处局部平衡等条件。 我们推导了无粘性情况下的精确解析解，并在考虑粘性效应时提出了近似解。 我们的模型揭示了蒸发速率与粘性之间的一种新关系，提供了文献中尚未深入探讨的新见解。 通过使用开源并行库OpenLB进行数值模拟验证了这些解析结果，展示了在弥散界面方法框架内预测蒸发现象物理行为的极佳一致性。 显示英文摘要

摘要： An analytical solution based on a diffuse interface model is presented for an isothermal evaporation problem under sub-saturation pressure. The macroscopic equations are derived from the free-energy method, widely recognized in the lattice Boltzmann literature, distinguishing our approach from conventional evaporation models that rely on jump conditions or pure kinetic theory. The interface behavior is fully described by differential equations, eliminating the need for assumptions such as local equilibrium at the interface. We derive an exact analytical solution for the inviscid case and propose an approximate solution when viscosity effects are considered. Our model unveils a novel relationship between evaporation rate and viscosity, providing new insights that have not been thoroughly explored in the literature. The analytical results are validated through numerical simulations using the open-source parallel library OpenLB, demonstrating excellent agreement in predicting the physical behavior of the evaporation phenomena within the framework of diffuse interface methods.