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Abstract <p>The scaling theory applied to binary mixtures has been used to explain the unusual behavior of dew-bubble curve (DBC) in pressure-temperature variables when the critical temperature of a mixture is near its extremum. In this particular case, the dew-bubble curve in some systems becomes anomalously narrow. As it has been shown in the article the reason of such behavior from theoretical point of view is the accurate consideration of higher-order terms in DBC equation when the main term vanishes. At the same time, DBC in density-temperature variables holds the typical form. It is necessary to note that methods based on the classical equations of state cannot clarify the mechanism of this phenomenon and cannot point out parameters responsible for such specific behavior. A carbon dioxide-propane mixture was chosen to demonstrate the developed approach. It has been shown that DBC in pressure-temperature variables shrinks if the mixture composition is close to the composition corresponding to the minimum of mixture critical temperature.</p>

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Analytical Description of Dew-Bubble Curves of a Binary Mixture near the Critical Temperature Extremum within the Scaling Theory

  • 期刊论文

  • 发表日期：

    2026年5月1日

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  • V. D. Kulikov

摘要

Abstract

The scaling theory applied to binary mixtures has been used to explain the unusual behavior of dew-bubble curve (DBC) in pressure-temperature variables when the critical temperature of a mixture is near its extremum. In this particular case, the dew-bubble curve in some systems becomes anomalously narrow. As it has been shown in the article the reason of such behavior from theoretical point of view is the accurate consideration of higher-order terms in DBC equation when the main term vanishes. At the same time, DBC in density-temperature variables holds the typical form. It is necessary to note that methods based on the classical equations of state cannot clarify the mechanism of this phenomenon and cannot point out parameters responsible for such specific behavior. A carbon dioxide-propane mixture was chosen to demonstrate the developed approach. It has been shown that DBC in pressure-temperature variables shrinks if the mixture composition is close to the composition corresponding to the minimum of mixture critical temperature.