AI 中文总结
研究多原子气体稳定蒸发时流体动力学方程界面边界条件，基于先前结果结合修改的熵泛函重探半空间蒸发问题，研究最大总熵产生曲线结构，提出能拟合数值结果的简单函数，其对不同比热比情况也适用。
AI 中文摘要
本研究探讨了多原子气体稳定蒸发过程中，气体与其凝聚相界面处流体动力学方程的边界条件。对于分子表现为刚性转子的热完全气体，考虑了说明温度和压力比与马赫数关系的蒸发曲线。在凝聚相，假定为完全吸收条件，还考虑了部分分子在凝聚相发生漫反射的情况。基于先前结果，针对稍作修改的熵泛函，重新研究多原子气体的半空间蒸发问题。研究了（修改后的）最大总熵产生曲线的结构，并提出能精确拟合数值结果的简单函数。所提形式的函数，经修改系数后，也能很好地拟合先前用不同数值方法得到的蒸发曲线。针对不同的内自由度数量或比热比进行了近似。发现依赖比热比的简单函数能很好地拟合不同比热比下得到的蒸发曲线。
英文摘要
This study investigates the boundary conditions for fluid-dynamic equations at the interface of a gas and its condensed phase during steady evaporation of a polyatomic gas. Evaporation curves illustrating the dependence of the temperature and pressure ratios on the Mach number are considered for a calorically perfect gas whose molecules behave like rigid rotors. At the condensed phase, complete absorption conditions are assumed. Also an extension to cases in which a part of the molecules is diffusely reflected at the condensed phase is also considered. We revisit the half-space evaporation problem for polyatomic gases based on previous results, applied to a slightly modified entropy functional. The structure of the (modified) maximal total entropy production curves is investigated, and simple functions that accurately fit the numerical results are proposed. Functions of the proposed form, with modified coefficients, also fit the evaporation curves previously obtained by different numerical methods surprisingly well. The approximation is performed for different numbers of internal degrees of freedom or ratios of specific heats. Simple functions that depend on the ratio of specific heats are found to fit the obtained evaporation curves for different ratios of specific heats very well.
Comments16 pages, 7 figures
