Prediction of the Liquid Density of Fatty Acid Methyl Ethyl Based on the Peng-Robinson Equation and Volume Translation

CAI Lingxiao; ZHANG Yujing; WANG Xiaopo

doi:10.7652/xjtuxb202312007

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Prediction of the Liquid Density of Fatty Acid Methyl Ethyl Based on the Peng-Robinson Equation and Volume Translation

更新时间：2025-07-09

- Prediction of the Liquid Density of Fatty Acid Methyl Ethyl Based on the Peng-Robinson Equation and Volume Translation
- Vol. 57, Issue 12, Pages: 72-79(2023)
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202312007
  CLC： TK121
- Online First：10 December 2023，
  
  Published：2023
- 稿件说明：
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CAI Lingxiao, ZHANG Yujing, WANG Xiaopo. Prediction of the Liquid Density of Fatty Acid Methyl Ethyl Based on the Peng-Robinson Equation and Volume Translation[J]. 2023, 57(12): 72-79.
DOI：

CAI Lingxiao, ZHANG Yujing, WANG Xiaopo. Prediction of the Liquid Density of Fatty Acid Methyl Ethyl Based on the Peng-Robinson Equation and Volume Translation[J]. 2023, 57(12): 72-79. DOI： 10.7652/xjtuxb202312007.

摘要

为了提高经典的Peng-Robinson立方型状态方程(PR方程)预测脂肪酸甲酯高压液相密度的精度

并为生物柴油的进一步工程应用提供可靠的密度预测方法

在对文献中发表的19种饱和脂肪酸甲酯和6种不饱和脂肪酸甲酯的常压液相密度实验数据进行收集的基础上

采用体积平移法对PR方程进行了修正。分析发现

体积平移量与所研究的脂肪酸甲酯中的碳原子数、双键数以及温度存在一定的规律

并获得了其定量关系式

得到了可以预测同系列脂肪酸甲酯液相密度的体积平移的PR方程(VTPR方程)。结果表明

利用所提VTPR方程计算得到的脂肪酸甲酯常压密度与实验数据的总体相对偏差为0.30%。将所提VTPR方程用于预测脂肪酸甲酯高压条件下的密度

预测值与实验数据的总体相对偏差为0.50%

可以满足实际工程的需要。

Abstract

To improve the accuracy of the classical Peng-Robinson cubic equation of state(PR equation)to predict the high-pressure liquid density of fatty acid methyl esters

and to provide a reliable density prediction method for the further application of the biodiesel in engineering

the experimental density data of 19 saturated fatty acid methyl esters and 6 unsaturated fatty acid methyl esters at atmospheric pressure issued in the literatures were collected and the PR equation was modified using the volume translation method. According to the investigation

there were regular trends between the values of the volume translation and the temperature

carbon atom numbers and double bond numbers of the fatty acid methyl esters

and the quantitative relationship was obtained. Based on this

a new PR equation based on volume translation(VTPR equation)used to predict the density of the homologous fatty acid methyl esters was obtained. The investigation results show that the overall average relative deviation between the density of the fatty acid methyl esters at atmospheric pressure calculated with the proposed VTPR equation and the experimental density data is 0.30% and that between such density under high pressure predicted with the equation and the experimental data is 0.50%. It indicates that the VTPR equation can meet the requirement of the practical engineering.

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references

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