氩流体相(包括亚稳态)的一种新非广度状态方程:从熔化线到 2300 K 和 50 GPa
A new non-extensive equation of state for the fluid phases of argon including the metastable states, from the melting line to 2300 K and 50 GPa
AI总结:
本文开发了一种适用于氩流体(含亚稳态)的新状态方程,基于对比Helmholtz自由能推导,覆盖熔化线至2300 K和50 GPa,并提出了液相的Tait-Tammann近似方程。
摘要:
为了扩展 Tegeler 等人(参考文献 4)先前提出的状态方程的有效范围,并对整个流体区域(单相态、亚稳态和饱和态)的实验热力学数据给出更好的物理描述,本文开发了一种新的氩状态方程。正如 Tegeler 等人所提出的,该方程同样基于对比 Helmholtz 自由能剩余部分的泛函形式。然而在本研究中,Helmholtz 自由能的基本方程是从测量量 CV(rho,T) 和 P(rho,T) 推导得出的。对等容热容 CV(rho,T) 的经验描述基于一种明确包含亚稳态的原创经验描述。热力学性质(内能、熵、自由能)随后通过结合 CV(rho,T) 的积分获得。积分过程引入的任意函数是通过计算和实验压力 P(rho,T) 数据之间的比较推导出来的。新公式适用于从熔化线到 2300 K、压力高达 50 GPa 的整个流体区域。它还预测了等容热容 CV 沿等容线存在极大值,正如在其他几种流体中实验观察到的那样。对于许多应用而言,液相状态方程的近似形式可能就足够了。因此,在三相点温度和 148 K 之间提出了一个 Tait-Tammann 方程。
英文摘要:
A new equation of state for argon has been developed in view to extend the range of validity of the equation of state previously proposed by Tegeler et al. (Ref. 4) and to obtain a better physical description of the experimental thermodynamic data for the whole fluid region (single-phase, metastable and saturation states). As proposed by Tegeler et al., this equation is also based on a functional form of the residual part of the reduced Helmholtz free energy. However in this work, the fundamental equation for the Helmholtz free energy has been derived from the measured quantities CV(rho,T) and P(rho,T). The empirical description of the isochoric heat capacity CV(rho,T) is based on an original empirical description containing explicitly the metastable states. The thermodynamic properties (internal energy, entropy, free energy) are then obtained by combining integration of CV(rho,T). The arbitrary functions introduced by the integration process have been deduced from a comparison between calculated and experimental pressure P(rho,T) data. The new formulation is valid for the whole fluid region from the melting line to 2300 K and for pressures up to 50 GPa. It also predicts existence of a maximum of the isochoric heat capacity CV along isochors as experimentally observed in several other fluids. For many applications, an approximate form of the equation of state for the liquid phase may be sufficient. A Tait-Tammann equation is therefore proposed between the triple point temperature and 148 K.
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