Citation: Gustavo A. Carri. A Modern Approach to the Solution and Analysis of the Simha-Somcynsky Model for the Description of Pressure-Volume-Temperature Properties of Polymer Fluids[J]. Chinese Journal of Polymer Science, ;2015, 33(4): 523-539. doi: 10.1007/s10118-015-1601-7 shu

A Modern Approach to the Solution and Analysis of the Simha-Somcynsky Model for the Description of Pressure-Volume-Temperature Properties of Polymer Fluids

Gustavo A. Carri ¹

1.
Department of Polymer Science, College of Polymer Science and Polymer Engineering, The University of Akron, Akron, OH 44325-3909, USA

Received Date: 23 June 2014
Revised Date: 20 August 2014

We revisit the Simha-Somcynsky model of polymer fluids with the purpose of developing novel theoretical and computational approaches to simplify and speed up its solution as well as the fitting of experimental data, and decrease its level of mathematical complexity. We report a novel method that allows us to solve one of the two equations of the model exactly, thus putting the level of mathematical difficulty on a par with the one of other models for polymer fluids. Moreover, we describe a computational algorithm capable of fitting all five parameters of the model in an unbiased way. The results obtained reproduce literature results and fit experimental pressure-volume-temperature and solubility parameter data for three polymers very accurately. Moreover, the new techniques allow for the investigation of the model at very low temperatures. Unexpectedly, the model predicts behaviors that could be interpreted as a glass transition, as routinely observed in dilatometry and differential scanning calorimetry, and a glass phase. We compared the predicted and experimental Tg's for cis poly(1,4-butadiene) and found an excellent quantitative agreement.
- Simha-Somcynsky model,
- PVT properties,
- Polymer fluids
1. [1]
2. [2]
3. [3]
4. [4]
5. [5]
6. [6]
7. [7]
8. [8]
9. [9]
10. [10]
11. [11]
12. [12]
13. [13]
14. [14]
15. [15]
16. [16]
17. [17]
18. [18]
19. [19]
20. [20]
21. [21]
22. [22]
23. [23]
24. [24]
25. [25]
26. [26]
27. [27]
28. [28]
29. [29]
30. [30]
31. [31]
32. [32]
33. [33]
34. [34]
35. [35]
36. [36]
37. [37]
38. [38]
39. [39]
40. [40]
41. [41]
42. [42]
43. [43]
44. [44]
45. [45]
46. [46]
47. [47]
48. [48]
49. [49]
50. [50]
51. [51]
52. [52]
1. [1]
  Gang Lang , Jing Feng , Bo Feng , Junlan Hu , Zhiling Ran , Zhiting Zhou , Zhenju Jiang , Yunxiang He , Junling Guo . Supramolecular phenolic network-engineered C–CeO₂ nanofibers for simultaneous determination of isoniazid and hydrazine in biological fluids. Chinese Chemical Letters, 2024, 35(6): 109113-. doi: 10.1016/j.cclet.2023.109113
2. [2]
  Tiankai Sun , Hui Min , Zongsu Han , Liang Wang , Peng Cheng , Wei Shi . Rapid detection of nanoplastic particles by a luminescent Tb-based coordination polymer. Chinese Chemical Letters, 2024, 35(5): 108718-. doi: 10.1016/j.cclet.2023.108718
3. [3]
  Mengjun Sun , Zhi Wang , Jvhui Jiang , Xiaobing Wang , Chuang Yu . Gelation mechanisms of gel polymer electrolytes for zinc-based batteries. Chinese Chemical Letters, 2024, 35(5): 109393-. doi: 10.1016/j.cclet.2023.109393
4. [4]
  Huimin Gao , Zhuochen Yu , Xuze Zhang , Xiangkun Yu , Jiyuan Xing , Youliang Zhu , Hu-Jun Qian , Zhong-Yuan Lu . A mini review of the recent progress in coarse-grained simulation of polymer systems. Chinese Journal of Structural Chemistry, 2024, 43(5): 100266-100266. doi: 10.1016/j.cjsc.2024.100266
5. [5]
  Dong Lv , Xuelei Liu , Wei Li , Qiang Zhang , Xinhong Yu , Yanchun Han . Single droplet formation by controlling the viscoelasticity of polymer solutions during inkjet printing. Chinese Chemical Letters, 2024, 35(6): 109401-. doi: 10.1016/j.cclet.2023.109401
6. [6]
  Jinjie Lu , Qikai Liu , Yuting Zhang , Yi Zhou , Yanbo Zhou . Antibacterial performance of cationic quaternary phosphonium-modified chitosan polymer in water. Chinese Chemical Letters, 2024, 35(9): 109406-. doi: 10.1016/j.cclet.2023.109406
7. [7]
  Zhihao Gu , Jiabo Le , Hehe Wei , Zehui Sun , Mahmoud Elsayed Hafez , Wei Ma . Unveiling the intrinsic properties of single NiZnFeO_x entity for promoting electrocatalytic oxygen evolution. Chinese Chemical Letters, 2024, 35(4): 108849-. doi: 10.1016/j.cclet.2023.108849
8. [8]
  Wenzhong Zhang , Zirui Yan , Lingcheng Chen , Yi Xiao . Sn-fused perylene diimides: Synthesis, mechanism, and properties. Chinese Chemical Letters, 2024, 35(10): 109582-. doi: 10.1016/j.cclet.2024.109582
9. [9]
  Qingyan JIANG , Yanyong SHA , Chen CHEN , Xiaojuan CHEN , Wenlong LIU , Hao HUANG , Hongjiang LIU , Qi LIU . Constructing a one-dimensional Cu-coordination polymer-based cathode material for Li-ion batteries. Chinese Journal of Inorganic Chemistry, 2024, 40(4): 657-668. doi: 10.11862/CJIC.20240004
10. [10]
  Yuanzhe Lu , Yuanqin Zhu , Linfeng Zhong , Dingshan Yu . Long-lifespan aqueous alkaline and acidic batteries enabled by redox conjugated covalent organic polymer anodes. Chinese Journal of Structural Chemistry, 2024, 43(3): 100249-100249. doi: 10.1016/j.cjsc.2024.100249
11. [11]
  Qianqian Song , Yunting Zhang , Jianli Liang , Si Liu , Jian Zhu , Xingbin Yan . Boron nitride nanofibers enhanced composite PEO-based solid-state polymer electrolytes for lithium metal batteries. Chinese Chemical Letters, 2024, 35(6): 108797-. doi: 10.1016/j.cclet.2023.108797
12. [12]
  Xin-Tong Zhao , Jin-Zhi Guo , Wen-Liang Li , Jing-Ping Zhang , Xing-Long Wu . Two-dimensional conjugated coordination polymer monolayer as anode material for lithium-ion batteries: A DFT study. Chinese Chemical Letters, 2024, 35(6): 108715-. doi: 10.1016/j.cclet.2023.108715
13. [13]
  Xin Li , Xuan Ding , Junkun Zhou , Hui Shi , Zhenxi Dai , Jiayi Liu , Yongcun Ma , Penghui Shao , Liming Yang , Xubiao Luo . Utilizing synergistic effects of bifunctional polymer hydrogel PAM-PAMPS for selective capture of Pb(Ⅱ) from wastewater. Chinese Chemical Letters, 2024, 35(7): 109158-. doi: 10.1016/j.cclet.2023.109158
14. [14]
  Lei Zhou , Youjun Zhou , Lizhen Fang , Yiqiao Bai , Yujia Meng , Liang Li , Jie Yang , Yong Yao . Pillar[5]arene based artificial light-harvesting supramolecular polymer for efficient and recyclable photocatalytic applications. Chinese Chemical Letters, 2024, 35(9): 109509-. doi: 10.1016/j.cclet.2024.109509
15. [15]
  Tao Wei , Jiahao Lu , Pan Zhang , Qi Zhang , Guang Yang , Ruizhi Yang , Daifen Chen , Qian Wang , Yongfu Tang . An intermittent lithium deposition model based on bimetallic MOFs derivatives for dendrite-free lithium anode with ultrahigh areal capacity. Chinese Chemical Letters, 2024, 35(8): 109122-. doi: 10.1016/j.cclet.2023.109122
16. [16]
  Shuwen SUN , Gaofeng WANG . Two cadmium coordination polymers constructed by varying Ⅴ-shaped co-ligands: Syntheses, structures, and fluorescence properties. Chinese Journal of Inorganic Chemistry, 2024, 40(3): 613-620. doi: 10.11862/CJIC.20230368
17. [17]
  Yanbing Shen , Yuan Yuan , Yaxin Wang , Xiaonan Ma , Wensheng Yang , Yulan Chen . Dihydroanthracene bridged bis-naphthopyrans: A multimodal chromophore with mechano- and photo-chromic properties. Chinese Chemical Letters, 2024, 35(5): 108949-. doi: 10.1016/j.cclet.2023.108949
18. [18]
  Zhengzheng LIU , Pengyun ZHANG , Chengri WANG , Shengli HUANG , Guoyu YANG . Synthesis, structure, and electrochemical properties of a sandwich-type {Co₆}-cluster-added germanotungstate. Chinese Journal of Inorganic Chemistry, 2024, 40(6): 1173-1179. doi: 10.11862/CJIC.20240039
19. [19]
  Xiaoxia WANG , Ya'nan GUO , Feng SU , Chun HAN , Long SUN . Synthesis, structure, and electrocatalytic oxygen reduction reaction properties of metal antimony-based chalcogenide clusters. Chinese Journal of Inorganic Chemistry, 2024, 40(6): 1201-1208. doi: 10.11862/CJIC.20230478
20. [20]
  Huirong LIU , Hao XU , Dunru ZHU , Junyong ZHANG , Chunhua GONG , Jingli XIE . Syntheses, structures, photochromic and photocatalytic properties of two viologen-polyoxometalate hybrid materials. Chinese Journal of Inorganic Chemistry, 2024, 40(7): 1368-1376. doi: 10.11862/CJIC.20240066

Get Citation

PDF

XML

Metrics

PDF Downloads(0)
Abstract views(678)
HTML views(37)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142