S. Rykov, I. Kudryavtseva, P. V. Popov, M. Nurysheva
{"title":"R-245fa相平衡线建模方法","authors":"S. Rykov, I. Kudryavtseva, P. V. Popov, M. Nurysheva","doi":"10.17586/1606-4313-2021-20-3-65-74","DOIUrl":null,"url":null,"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.","PeriodicalId":148431,"journal":{"name":"Journal International Academy of Refrigeration","volume":"428 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"R-245fa phase equilibrium line modeling method\",\"authors\":\"S. Rykov, I. Kudryavtseva, P. V. Popov, M. Nurysheva\",\"doi\":\"10.17586/1606-4313-2021-20-3-65-74\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":148431,\"journal\":{\"name\":\"Journal International Academy of Refrigeration\",\"volume\":\"428 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal International Academy of Refrigeration\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17586/1606-4313-2021-20-3-65-74\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal International Academy of Refrigeration","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17586/1606-4313-2021-20-3-65-74","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.