Helmholtz energy equation of state for refrigerant hexafluoropropene (R1216)

LIU Huimin; MAN Jingru; SUN Xiaoyan; ZHAO Wenying; XIANG Shuguang

doi:10.11949/0438-1157.20260148

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Helmholtz energy equation of state for refrigerant hexafluoropropene (R1216)

更新时间：2026-04-30

- Helmholtz energy equation of state for refrigerant hexafluoropropene (R1216)
- CIESC Journal (2026)
- 作者机构：
  
  青岛科技大学过程系统工程研究所，山东青岛 266044
- 作者简介：
- 基金信息：
- DOI：10.11949/0438-1157.20260148
  CLC： TB 61.2
- Received：30 January 2026，
  
  Revised：2026-04-27，
  
  Accepted：28 April 2026，
- 稿件说明：
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LIU Huimin, MAN Jingru, SUN Xiaoyan, et al. Helmholtz energy equation of state for refrigerant hexafluoropropene (R1216)[J/OL]. CIESC Journal, 2026.
DOI：

LIU Huimin, MAN Jingru, SUN Xiaoyan, et al. Helmholtz energy equation of state for refrigerant hexafluoropropene (R1216)[J/OL]. CIESC Journal, 2026. DOI： 10.11949/0438-1157.20260148.

摘要

基于制冷剂六氟丙烯（R1216）的蒸汽压、饱和汽液相密度、

pρT

数据、气相声速、理想气体等压热容实验数据，建立了六氟丙烯（R1216）Helmholtz状态方程，采用混合求解算法拟合方程参数。状态方程的适用范围为从三相点温度117.65 K至370 K，压力最高可达10 MPa。在此范围内，气液相密度、气相声速、理想气体等压热容、饱和蒸气压平均绝对相对偏差（AARD）小于1.62%；饱和汽液相密度的AARD分别为3.60%和0.62%，通过维里系数、压缩因子、热容、PVT关系、声速、相态识参数，分别检验Helmholtz状态方程导出热力学性质外推行为的可靠性。结合实验数据质量评价与导出热力学性质的趋势，证明了Helmholtz状态方程不仅在实验数据范围内物性计算结果准确且满足热力学约束，在远离三相点以及高温高压等极端条件下的热力学外推行为也是可靠的。

Abstract

A Helmholtz energy equation of state (EoS) for hexafluoropropene (R1216) was developed based on the experimental data of vapor pressure

saturated liquid and vapor densities

pρT

properties

vapor phase speed of sound

and ideal gas heat capacity at constant pressure. The model parameters were optimized using a hybrid solution algorithm. The applicable range of this EoS spans from the triple point temperature of 117.65 K to 370 K and the pressures up to 10 MPa. Within this range

the estima

ted average absolute deviation (AARD) of vapor and liquid density

the speed of sound in the vapor phase

ideal-gas isobaric heat capacity

and saturated vapor pressure are below 1.62%. The AARD of the saturated vapor and liquid densities are 3.6% and 0.62%

respectively. The extrapolation behavior of the EoS was evaluated using derived thermodynamic properties

including virial coefficients

the compressibility factor

capacities

PVT relationships

the speed of sound

and the phase identification parameter. The Helmholtz EoS was evaluated by experimental data and the trends of derived thermodynamic properties. The results proved that the Helmholtz EoS can calculate thermodynamic properties accurately and satisfy thermodynamic constraints within the experimental data range

it also exhibits reliable thermodynamic extrapolation behavior under extreme conditions such as high temperature

high pressure

and the state far from the triple point.

关键词

Keywords

references

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