LIQUID-LIQUID EQUILIBRIA FOR SOLUTIONS OF POLYDISPERSE POLYMERS - CONTINUOUS THERMODYNAMICS FOR THE CLOSE-PACKED LATTICE MODEL

被引:24
作者
HU, Y
YING, XG
WU, DT
PRAUSNITZ, JM
机构
[1] UNIV CALIF BERKELEY,DEPT CHEM ENGN,BERKELEY,CA 94720
[2] E CHINA UNIV SCI & TECHNOL,THERMODYNAM RES LAB,SHANGHAI 200237,PEOPLES R CHINA
[3] DUPONT CO INC,MARSHALL LAB,PHILADELPHIA,PA 19146
[4] LAWRENCE BERKELEY LAB,DIV CHEM SCI,BERKELEY,CA 94720
关键词
D O I
10.1021/ma00077a018
中图分类号
O63 [高分子化学(高聚物)];
学科分类号
070305 ; 080501 ; 081704 ;
摘要
A continuous thermodynamic framework is presented for phase-equilibrium calculations for solutions of polydisperse polymers. An expression for the Helmholtz function of mixing is based on a mathematically simplified Freed model developed previously. A binary mixture requires a size parameter c(r) and an energy parameter epsilon; the former can be temperature dependent, while the latter can depend on temperature and chain length. The functional approach is adopted to define thermodynamic functions and to derive expressions for chemical potentials, spinodals, and critical points. Computation programs are established for cloud-point-curve, shadow-curve, spinodal, and critical-point calculations for polymer solutions where the molecular-mass distribution of the polymer is specified. Examples for phase-equilibrium calculations are shown for cyclohexane-polydisperse polystyrene systems. Satisfactory results indicate the utility of the proposed framework and the computation procedures.
引用
收藏
页码:6817 / 6823
页数:7
相关论文
共 50 条
[31]   Model-based description of droplet deformation into polyhedral shapes in liquid-liquid polydisperse dense-packed zones [J].
Sibirtsev, Stepan ;
Thiel, Lukas ;
Danner, Yannik ;
Kirsanov, Andrey ;
Jupke, Andreas .
CHEMICAL ENGINEERING SCIENCE, 2025, 311
[32]   Liquid-liquid equilibria in polystyrene solutions: the general pressure dependence [J].
Imre, AR ;
Melnichenko, G ;
Van Hook, WA .
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1999, 1 (18) :4287-4292
[33]   Liquid-liquid equilibria of binary polymer solutions with specific interactions [J].
Hanyang Univ, Seoul, Korea, Republic of .
Polymer, 25 (6449-6454)
[34]   Liquid-liquid phase equilibria in polymer solutions and polymer mixtures [J].
Imre, AR ;
Van Hook, WA ;
Wolf, BA .
MACROMOLECULAR SYMPOSIA, 2002, 181 :363-372
[35]   Liquid-liquid equilibria for binary and ternary polymer solutions with PGSAFT [J].
Lindvig, T ;
Michelsen, ML ;
Kontogeorgis, GM .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2004, 43 (04) :1125-1132
[36]   Liquid-liquid equilibria of binary polymer solutions with specific interactions [J].
Chang, BH ;
Bae, YC .
POLYMER, 1998, 39 (25) :6449-6454
[37]   BINARY LIQUID-LIQUID EQUILIBRIA - MULTIPLE SOLUTIONS FOR THE NRTL EQUATION [J].
JACQ, J ;
ASSELINEAU, L .
FLUID PHASE EQUILIBRIA, 1983, 14 (OCT) :185-192
[38]   Liquid-liquid equilibria for polymer solutions and blends, including copolymers [J].
Song, YH ;
Hino, T ;
Lambert, SM ;
Prausnitz, JM .
FLUID PHASE EQUILIBRIA, 1996, 117 (1-2) :69-76
[39]   Metastable hexagonal close-packed palladium hydride in liquid cell TEM [J].
Jaeyoung Hong ;
Jee-Hwan Bae ;
Hyesung Jo ;
Hee-Young Park ;
Sehyun Lee ;
Sung Jun Hong ;
Hoje Chun ;
Min Kyung Cho ;
Juyoung Kim ;
Joodeok Kim ;
Yongju Son ;
Haneul Jin ;
Jin-Yoo Suh ;
Sung-Chul Kim ;
Ha-Kyung Roh ;
Kyu Hyoung Lee ;
Hyung-Seok Kim ;
Kyung Yoon Chung ;
Chang Won Yoon ;
Kiryeong Lee ;
Seo Hee Kim ;
Jae-Pyoung Ahn ;
Hionsuck Baik ;
Gyeung Ho Kim ;
Byungchan Han ;
Sungho Jin ;
Taeghwan Hyeon ;
Jungwon Park ;
Chang Yun Son ;
Yongsoo Yang ;
Young-Su Lee ;
Sung Jong Yoo ;
Dong Won Chun .
Nature, 2022, 603 :631-636
[40]   The dynamical susceptibility based on the Hubbard model of the hexagonal close-packed lattice [J].
Konno, R .
JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 1999, 60 (8-9) :1169-1171