{"title":"电场对二元混合物汽液平衡的影响","authors":"Han Guangze, Li Xinyu","doi":"10.1007/s00161-023-01253-5","DOIUrl":null,"url":null,"abstract":"<div><p>Previous studies showed that electric fields could change the boiling point and vapor pressure of the vapor–liquid equilibrium (VLE) state of pure substances and mixtures. This is an important feature in controlling the separation of mixtures. In this paper, based on the principle of phase equilibrium, together with the formulas of chemical potential including the effect of electric field and the dielectric pressure, the Raoult’s law was extended to include the effect of electric field to describe VLE of a mixture under an external electric field. The effects of electric field on VLE can be calculated by combining the extended Raoult’s law and the Dalton’s law of partial pressure, and then, the effect of electric field on the relative volatility can also be calculated. Numerical calculations showed that the effects of an electric field on VLE depend on both the magnitude and the direction of the electric field, and the effects become obvious until the field strength is greater than 10<span>\\(^{7}\\)</span> V/m. When the direction of the electric field is parallel to the gas–liquid interface, the vapor pressure decreases; the equilibrium temperature, the mole fractions of the volatile component, and the relative volatility increase. While, when the direction of the electric field is perpendicular to the gas–liquid interface, the opposite changes in these properties appear. The shifting of the equilibrium curves caused by the electric field indicates that the electric field can cause the vapor–liquid phase transition and change the amount of the phase material.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"35 6","pages":"2361 - 2370"},"PeriodicalIF":1.9000,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-023-01253-5.pdf","citationCount":"0","resultStr":"{\"title\":\"Effects of electric field on vapor–liquid equilibrium of binary mixture\",\"authors\":\"Han Guangze, Li Xinyu\",\"doi\":\"10.1007/s00161-023-01253-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Previous studies showed that electric fields could change the boiling point and vapor pressure of the vapor–liquid equilibrium (VLE) state of pure substances and mixtures. This is an important feature in controlling the separation of mixtures. In this paper, based on the principle of phase equilibrium, together with the formulas of chemical potential including the effect of electric field and the dielectric pressure, the Raoult’s law was extended to include the effect of electric field to describe VLE of a mixture under an external electric field. The effects of electric field on VLE can be calculated by combining the extended Raoult’s law and the Dalton’s law of partial pressure, and then, the effect of electric field on the relative volatility can also be calculated. Numerical calculations showed that the effects of an electric field on VLE depend on both the magnitude and the direction of the electric field, and the effects become obvious until the field strength is greater than 10<span>\\\\(^{7}\\\\)</span> V/m. When the direction of the electric field is parallel to the gas–liquid interface, the vapor pressure decreases; the equilibrium temperature, the mole fractions of the volatile component, and the relative volatility increase. While, when the direction of the electric field is perpendicular to the gas–liquid interface, the opposite changes in these properties appear. The shifting of the equilibrium curves caused by the electric field indicates that the electric field can cause the vapor–liquid phase transition and change the amount of the phase material.</p></div>\",\"PeriodicalId\":525,\"journal\":{\"name\":\"Continuum Mechanics and Thermodynamics\",\"volume\":\"35 6\",\"pages\":\"2361 - 2370\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s00161-023-01253-5.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Continuum Mechanics and Thermodynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00161-023-01253-5\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Continuum Mechanics and Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00161-023-01253-5","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
Effects of electric field on vapor–liquid equilibrium of binary mixture
Previous studies showed that electric fields could change the boiling point and vapor pressure of the vapor–liquid equilibrium (VLE) state of pure substances and mixtures. This is an important feature in controlling the separation of mixtures. In this paper, based on the principle of phase equilibrium, together with the formulas of chemical potential including the effect of electric field and the dielectric pressure, the Raoult’s law was extended to include the effect of electric field to describe VLE of a mixture under an external electric field. The effects of electric field on VLE can be calculated by combining the extended Raoult’s law and the Dalton’s law of partial pressure, and then, the effect of electric field on the relative volatility can also be calculated. Numerical calculations showed that the effects of an electric field on VLE depend on both the magnitude and the direction of the electric field, and the effects become obvious until the field strength is greater than 10\(^{7}\) V/m. When the direction of the electric field is parallel to the gas–liquid interface, the vapor pressure decreases; the equilibrium temperature, the mole fractions of the volatile component, and the relative volatility increase. While, when the direction of the electric field is perpendicular to the gas–liquid interface, the opposite changes in these properties appear. The shifting of the equilibrium curves caused by the electric field indicates that the electric field can cause the vapor–liquid phase transition and change the amount of the phase material.
期刊介绍:
This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena.
Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.