Polymerization of Isobutylene in a Rotating Packed Bed Reactor: Experimental and Modeling Studies
Abstract
:1. Introduction
2. Materials and Methods
2.1. Reagents
2.2. Experimental Procedures
2.3. Model Development
2.3.1. Modeling for the Polymerization of IB in RPB
2.3.2. Presumptive-Steady-State Analysis for the Polymerization
2.3.3. Calculation of Mn
3. Results
3.1. Effect of T and Estimation of Reaction Rate Constant
3.2. Effect of N and Estimation of P
3.3. Effect of [M]0/[I]0
3.4. Model Error Analysis
4. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Notation
T | polymerization temperature, K |
N | rotating speed of rotator in RPB, rpm (r·min−1) |
Mn | number-average molecular weight, g·mol−1 |
[M]t | concentration of IB in tank, mol·L−1 |
[M]0 | initial concentration of IB in RPB, mol·L−1 |
[M] | concentration of IB in RPB, mol·L−1 |
[I]t | concentration of initiating system in tank, mol·L−1 |
[I]0 | initial concentration of initiating system in RPB, mol·L−1 |
[I] | concentration of initiating system in RPB, mol·L−1 |
QM | volumetric flow rate of IB solution, L·h−1 |
QI | volumetric flow rate of initiating system solution, L·h−1 |
D | packing thickness in RPB, mm |
NL | total cage number of packing |
ND | droplets number in every cage |
Ri | inner radius of rotator in RPB, mm |
Ro | outer radius of rotator in RPB, mm |
ri | initiation rate, mol·L−1·s−1 |
rp | propagation rate, mol·L−1·s−1 |
rtr | chain transfer rate, mol·L−1·s−1 |
rt | termination rate, mol·L−1·s−1 |
concentration of active left, mol·L−1 | |
concentration of polymer with j units, mol·L−1 | |
concentration of polymer with j units out of packing, mol·L−1 | |
ki | rate constant for initiation, L·mol−1·s−1 |
kp | rate constant for propagation, L·mol−1·s−1 |
ktr | rate constant for chain transfer to monomer, L·mol−1·s−1 |
kt | rate constant for termination, s−1 |
Mj | 56j molecular weight of polymer with j units, g·mol−1 |
tm | micromixing characteristic time, ms |
t1/2 | reactive characteristic time, ms |
k0 | pre-exponential factor |
R | molar gas constant, J·mol−1·K−1 |
Ea | apparent activation energy, kJ·mol−1 |
P | coalescence probability |
Greek letters | |
δ | distance between adjacent cages, mm |
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ND | NL | δ/mm | Ri/mm | Ro/mm |
---|---|---|---|---|
600 | 40 | 0.9 | 40 | 76 |
T/K | Mn/(g·mol−1) | kp/(104 L·mol−1·s−1) |
---|---|---|
267 | 4890 | 15.0 |
274 | 3880 | 12.0 |
279 | 3420 | 10.6 |
283 | 2550 | 10.1 |
290 | 2220 | 8.5 |
N/rpm | Mn/(g·mol−1) | P |
---|---|---|
600 | 1400 | 0.030 |
800 | 1650 | 0.045 |
1000 | 2000 | 0.062 |
1200 | 2200 | 0.075 |
1400 | 2480 | 0.108 |
1600 | 2550 | 0.150 |
1800 | 2590 | 0.151 |
2000 | 2560 | 0.150 |
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Hou, W.; Wang, W.; Xiang, Y.; Li, Y.; Chu, G.; Zou, H.; Sun, B. Polymerization of Isobutylene in a Rotating Packed Bed Reactor: Experimental and Modeling Studies. Appl. Sci. 2021, 11, 10194. https://doi.org/10.3390/app112110194
Hou W, Wang W, Xiang Y, Li Y, Chu G, Zou H, Sun B. Polymerization of Isobutylene in a Rotating Packed Bed Reactor: Experimental and Modeling Studies. Applied Sciences. 2021; 11(21):10194. https://doi.org/10.3390/app112110194
Chicago/Turabian StyleHou, Wenhui, Wei Wang, Yang Xiang, Yingjiao Li, Guangwen Chu, Haikui Zou, and Baochang Sun. 2021. "Polymerization of Isobutylene in a Rotating Packed Bed Reactor: Experimental and Modeling Studies" Applied Sciences 11, no. 21: 10194. https://doi.org/10.3390/app112110194