饱和气液相密度关联外推的新通用对比态方程

卿康; 汪尔奇; 杨震; 段远源

doi:10.11949/0438-1157.20251266

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饱和气液相密度关联外推的新通用对比态方程

热力学 | 更新时间：2026-06-18

- 饱和气液相密度关联外推的新通用对比态方程
- New universal corresponding state equation for correlation and extrapolation of saturated vapor-liquid density
- 化工学报 2026年77卷第5期页码：2413-2423
- 作者机构：
  
  1.清华大学热科学与动力工程教育部重点实验室，二氧化碳资源化利用与减排技术北京市重点实验室，北京100084
  2.西南联合研究生院，云南昆明650092
- 作者简介：
  
  卿康（2001—），男，博士研究生，qk23@mails.tsinghua.edu.cn
  段远源（1971—），男，博士，教授，yyduan@tsinghua.edu.cn
- 基金信息：
  
  国家重点研发计划项目(2023YFB4102201);云南省西南联合研究生院科技专项(202302AO370018);清华大学-山西清洁能源研究院创新种子基金项目
- DOI：10.11949/0438-1157.20251266
  中图分类号： TK 12;TK 123
- 收稿：2025-11-13，
  
  修回：2026-01-07，
  
  纸质出版：2026-05-25
- 稿件说明：
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卿康, 汪尔奇, 杨震, 段远源. 饱和气液相密度关联外推的新通用对比态方程[J]. 化工学报, 2026, 77(5): 2413-2423

QING Kang, WANG Erqi, YANG Zhen, DUAN Yuanyuan. New universal corresponding state equation for correlation and extrapolation of saturated vapor-liquid density[J]. CIESC Journal, 2026, 77(5): 2413-2423
卿康, 汪尔奇, 杨震, 段远源. 饱和气液相密度关联外推的新通用对比态方程[J]. 化工学报, 2026, 77(5): 2413-2423 DOI： 10.11949/0438-1157.20251266.

QING Kang, WANG Erqi, YANG Zhen, DUAN Yuanyuan. New universal corresponding state equation for correlation and extrapolation of saturated vapor-liquid density[J]. CIESC Journal, 2026, 77(5): 2413-2423 DOI： 10.11949/0438-1157.20251266.

摘要

饱和密度是流体物质在气液相平衡时的重要热物性参数，在热力循环及化工过程中被广泛应用，但实验数据往往有限且离散，因此，建立能够准确关联数据并能够可靠外推的饱和密度方程具有重要意义。基于饱和密度与饱和蒸气压的热力学特征相似性，此前提出的饱和蒸气压方程可推广至饱和密度，并以32种物质为对象与Zhang方程和Wagner型方程比较分析后证明，在关联性能上，新方程与Zhang方程和Wagner型方程偏差量级相当，足以在测量不确定度范围内关联实验数据；而在外推性能上，新方程总体优于Zhang方程和Wagner型方程，外推趋势更为稳定准确。如在外推拟合中将新方程部分参数固定后，外推趋势稳定性及准确性可进一步提升。

Abstract

Saturated density

a key thermophysical property of fluids at vapor-liquid equilibrium

is widely used in power cycles and chemical processes. However

experimental data of saturated density are often scarce and scattered; consequently

developing a correlation equation that accurately reproduces existing measurements while providing reliable extrapolation is essential. In this work

based on the thermodynamic similarity between saturated density and saturated vapor pressure

the previously proposed three-parameter saturated vapor pressure equation is extended to saturated density. The functional form is preserved

ensuring positive density and correct limiting behavior toward the critical point and triple point. Using thirty-two substances that possess abundant experimental data

the new equation is compared with the Zhang equation and Wagner equation. The results demonstrate that

with respect to correlation

the deviations of the new equation are of the same magnitude as those of the Zhang equation and Wagner equation and lie within the reported experimental uncertainties. In terms of extrapolation

the new equation is superior to or equivalent to the Zhang equation and Wagner equation

exhibiting a more stable and accurate extrapolation trend. Further improvement in the stability and accuracy of the extrapolation trend can be achieved by fixing some parameters of the new equation during extrapolation fitting.

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references

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