论文标题
非理想气体的绝热失效率:分子相互作用和振动的作用
Adiabatic lapse rate of non-ideal gases: The role of molecular interactions and vibrations
论文作者
论文摘要
我们报告了一个干燥绝热失效率的公式,该公式取决于可压缩因子和绝热曲线。然后,考虑到气体的非理想行为,我们考虑可以移动,旋转和振动的分子以及通过病毒系数的分子相互作用的信息。我们推断出其病毒膨胀形式的可压缩因素和病毒扩张中的绝热曲线,直至任何顺序。有了这些信息并说明上述公式,我们为理想气体的流失率和第二个系数案例的病毒膨胀率写下。为了找出病毒系数和振动的作用,在不同的大气条件下,我们计算了地球,火星,金星,泰坦和外部球星GL 581d的衰落率。此外,对于每个病毒膨胀中的三个模型:范德华,方形孔和硬球。另外,在可能的情况下,我们将结果与实验数据进行比较。最后,我们指出,对于在压力或温度的极端条件下的金星和泰坦,我们的计算与观察到的值在某些情况下非常吻合。
We report a formula for the dry adiabatic lapse rate that depends on the compressibility factor and the adiabatic curves. Then, to take into account the non-ideal behavior of the gases, we consider molecules that can move, rotate, and vibrate and the information of molecular interactions through the virial coefficients. We deduce the compressibility factor in its virial expansion form and the adiabatic curves within the virial expansion up to any order. With this information and to illustrate the mentioned formula, we write the lapse rate for the ideal gas, and the virial expansion up to the second and third coefficient cases. To figure out the role of the virial coefficients and vibrations, under different atmospheric conditions, we calculate the lapse rate for Earth, Mars, Venus, Titan, and the exoplanet Gl 581d. Furthermore, for each one we consider three models in the virial expansion: van der Waals, square-well, and hard-sphere. Also, when possible, we compare our results to the experimental data. Finally, we remark that for Venus and Titan, which are under extreme conditions of pressure or temperature, our calculations are in good agreement with the observed values, in some instances.