R-245fa phase equilibrium line modeling method

S. Rykov, I. Kudryavtseva, P. V. Popov, M. Nurysheva
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Abstract

A critical analysis of the available information on the density r ± and pressure p s of the R-245fa refrigerant on the line of phase equilibrium (LPE) has been carried out and a mathematical model of LPE has been proposed that transmits this information within the limits of its uncertainty. The LPE model was developed within the framework of the Clapeyron-Clausius and Mendeleev-Clapeyron equations, the model [2β, 1 – α] of the average diameter f d : f , where α and β are the critical indices; τ = T/T c – 1, and the equation of the «apparent» heat of vaporization, developed within the framework of the large-scale theory. It is shown that in the temperature range from T t = 171.05 K to the critical temperature T c = 427.01 K, the proposed LPE model transmits data on r ± and p s of R-245fa within the limits of their experimental uncertainty; the RSM (Root-mean square deviation) values are given, which for the most reliable data were compiled by: Feng et al. (2010), RSM (p s ) = 0,063 %; Wang et al. (2004), RSM (p s ) = 0,021 %; Semenyuk Yu. V. et al. (2006), RSM (p + ) = 0,087 %. It is shown that the combined use of the parameter, the Mendeleev–Clapeyron equation and the Clapeyron equation can significantly increase the reliability of the calculated information about the density ρ – in the vicinity of the triple point.
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R-245fa相平衡线建模方法
对r -245fa制冷剂在相平衡线上的密度r±和压力p s的可用信息进行了批判性分析,并提出了一个相平衡线上的数学模型,该模型在其不确定性范围内传递这些信息。LPE模型在Clapeyron-Clausius和Mendeleev-Clapeyron方程框架内建立,模型[2β, 1 - α]为平均直径f: f,其中α和β为关键指标;τ = T/T c - 1,以及在大尺度理论框架内发展的“表观”汽化热方程。结果表明,在T = 171.05 K至临界温度T = 427.01 K范围内,LPE模型在实验不确定度范围内传输r -245fa的r±和p s数据;给出了RSM(均方根偏差)值,其中最可靠的数据由Feng et al.(2010)编制,RSM (p s) = 0,063%;Wang et al. (2004), RSM (p s) = 0.021%;Semenyuk。V. et al. (2006), RSM (p +) = 0.087%。结果表明,该参数与门捷列夫-克拉珀龙方程和克拉珀龙方程的联合使用可以显著提高三重点附近ρ -密度计算信息的可靠性。
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