Analysis of the Steady-State Multiplicity Behavior for Polystyrene Production in the CSTR
-
Sang Thanh Nguyen
and
Mohamed Azlan Hussain
Abstract
The work proposes two different approaches where the first one is based on the tools of the system theory and the other is strongly related to the principle of heat balance, in order to analyze the abnormal phenomena of the continuous styrene polymerization reactors, i. e. the multiplicity behavior in the wide range of operating conditions. More precisely, the multiplicity behavior of polystyrene production in a continuous stirred tank reactor (CSTR) is carried out by the numerical simulations through the Van Heerden diagram and the phase plane. Furthermore, the bifurcation diagrams in terms of two different inputs including jacket temperature and volumetric flow rate of initiator predict the appearance of multiplicity behavior as well as the saddle-node bifurcation points. The results, firstly, verify that the multiplicity behavior of the system appears under considered operating conditions. Secondly, the analysis of bifurcation behavior gives the theoretical prediction of multiplicity behavior once the operating conditions vary due to the soft constraints or the effect of noise and disturbance.
Acknowledgement
The authors are grateful to the University of Malaya and the Ministry of Higher Education in Malaysia for supporting this collaborative work under FRGS with the grant number FP064-2015A. This research is funded by Viet Nam National Foundation for Science and Technology Development (NAFOSTED) under grant number 104.99-2017.316.
Appendix
A Parameters of polystyrene production reactor
| Symbol | Quantity | Units | Value |
|---|---|---|---|
| Inlet concentration of monomer | mol/l | 4.6 | |
| Inlet concentration of initiator | mol/l | 1.3 | |
| Volumetric flow rate of monomer (styrene) in the feed | l/s | 1 | |
| Volumetric flow rate of initiator (AIBN) in the feed | l/s | 0.1 | |
| Temperature of feed | K | 298.15 | |
| Temperature of coolant | K | 335 | |
| Reactor volume | m2 | 1 | |
| The global hear transfer coefficient | W.m1/K | 600 | |
| Heat of the polymerization reaction | J/mol | −74,400 | |
| Heat capacities of the reacting mixture in CSTR | J.kg/K | 1855 | |
| Heat capacities of the feed | J.kg/K | 1978 | |
| J/(l.K) | 1507.248 |
B Initial conditions of the polystyrene production reactor
| C(1) | 1.5 | 0.001 | 400 |
| C(2) | 3.5 | 0.001 | 350 |
| C(3) | 3.0 | 0.001 | 395 |
| C(4) | 2.5 | 0.005 | 360 |
| C(5) | 1.5 | 0.005 | 340 |
| C(6) | 1.0 | 0.001 | 397 |
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Articles in the same Issue
- Editorial
- Editorial: Special Issue of 29th Symposium of Malaysian Chemical Engineers (SOMChE) 2016 – Process System Engineering
- Research Articles
- Effect of Inventory Change in a Liquid – Solid Circulating Fluidized Bed (LSCFB)
- Simulation and Optimization of the Utilization of Triethylene Glycol in a Natural Gas Dehydration Process
- Development of Adaptive Soft Sensor Using Locally Weighted Kernel Partial Least Square Model
- Comparison of Turbulence Models for Single Sphere Simulation Study Under Supercritical Fluid Condition
- Integrated Palm Biomass Supply Chain toward Sustainable Management
- Multi-Scale Control of Bunsen Section in Iodine-Sulphur Thermochemical Cycle Process
- Optimisation of Design and Operation Parameters for Multicomponent Separation via Improved Lewis-Matheson Method
- The Effect of Various Components of Triglycerides and Conversion Factor on Energy Consumption in Biodiesel Production
- CFD Simulation on the Hydrodynamics in Gas-Liquid Airlift Reactor
- Analysis of the Steady-State Multiplicity Behavior for Polystyrene Production in the CSTR
- Numerical Studies on the Laminar Thermal-Hydraulic Efficiency of Water-Based Al2O3 Nanofluid in Circular and Non-Circular Ducts
- Simultaneous Carbon Capture and Reuse Using Catalytic Membrane Reactor in Water-Gas Shift Reaction
