1
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On the nonlinear dynamics of biomass throated tubular gasification reactors. Comput Chem Eng 2022. [DOI: 10.1016/j.compchemeng.2022.107828] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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2
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Abstract
Abstract
A detailed analysis of the ignition–extinction and hysteresis behavior of the two widely used catalytic reactor models (packed-bed and monolith) for the case of a single exothermic reaction is presented. First, limiting models are used to determine the minimum adiabatic temperature rise and/or catalyst activity needed to observe hysteresis behavior. Next, explicit expressions are provided for estimating the feed temperature or space time at ignition (light-off) and extinction (blow-out) as a function of the adiabatic temperature rise (or inlet concentration of limiting reactant), effective thermal conductivity, time and length scales (reactor, tube/channel diameter, effective diffusion length and pore size), catalyst activity (or dilution) and heat loss. It is shown that various limiting reactor models such as the thin-bed, long-bed, lumped thermal, adiabatic and strongly cooled cases that are defined in terms of various inter- and intraphase heat and mass dispersion time scales can be used to derive scaling relations that are useful in predicting the ignition/extinction loci for both laboratory scale (with heat exchange) and large scale (near adiabatic) reactors.
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Affiliation(s)
- Vemuri Balakotaiah
- Department of Chemical and Biomolecular Engineering , University of Houston , Engineering Bldg. 1, 4726 Calhoun Rd , Houston , TX 77204 , USA
| | - Zhe Sun
- Department of Chemical and Biomolecular Engineering , University of Houston , Engineering Bldg. 1, 4726 Calhoun Rd , Houston , TX 77204 , USA
| | - Ram Ratnakar
- R&D – Mathematics and Computation, Shell International Exploration and Production Inc. , 3333 Highway 6S , Houston , TX 77082 , USA
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3
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Yang CY, Chien YS, Chou JH, Li HY, Hsieh CW. Application of Cholette’s model in non-ideal mixing CSTR: a simulation study on dynamic behavior. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2021. [DOI: 10.1515/ijcre-2020-0197] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
Non-ideal mixing phenomena are widely found in industrial chemical reactors. In this work we derived the bifurcation formulas for a non-adiabatic CSTR with an irreversible exothermic first order reaction with the non-ideal mixing effect. This is investigated via dynamic behavior simulations based on Chollete’s model. The results show that the non-ideal mixing parameter n (the fraction of the feed entering the perfect mixing zone) determines the variation between six classified regions and dominates the dynamic behavior patterns in the steady-state response diagram. On the other hand, the phase portraits of examples verify the formulas derived in this work. We note that the non-ideal mixing effect has significant importance in CSTR design and control steps. For example, in the safe operating region for an ideal mixing CSTR, non-linear dynamics are obtained by the system under non-ideal mixing conditions (n ≠ 1). The present study has significance and help for chemical reactor design and CSTR control.
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Affiliation(s)
- Chane-Yuan Yang
- Department of Chemical and Material Engineering , National Chin-Yi University of Technology , Taichung , 411 , Taiwan, R.O.C
| | - Yu-Shu Chien
- Department of Chemical and Material Engineering , National Chin-Yi University of Technology , Taichung , 411 , Taiwan, R.O.C
| | - Jun-Hong Chou
- Department of Chemical and Material Engineering , National Chin-Yi University of Technology , Taichung , 411 , Taiwan, R.O.C
| | - Hsing-Ya Li
- Department of Chemical Engineering , National United University , Miaoli , 360 , Taiwan, R.O.C
| | - Chau Wei Hsieh
- Department of Chemical Engineering , National Chung Hsing University , Taichung , 402 , Taiwan, R.O.C
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4
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Verma P, Kienle A, Flockerzi D, Ramkrishna D. Using Bifurcation Theory for Exploring Pain. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b04495] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- Parul Verma
- Davidson School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907, United States
| | - Achim Kienle
- Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg 39106, Germany
- Otto von Guericke University, Magdeburg 39106, Germany
| | - Dietrich Flockerzi
- Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg 39106, Germany
- Otto von Guericke University, Magdeburg 39106, Germany
| | - Doraiswami Ramkrishna
- Davidson School of Chemical Engineering, Purdue University, West Lafayette, Indiana 47907, United States
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5
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Badillo-Hernandez U, Alvarez J, Alvarez-Icaza L. Efficient modeling of the nonlinear dynamics of tubular heterogeneous reactors. Comput Chem Eng 2019. [DOI: 10.1016/j.compchemeng.2019.01.018] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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6
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Time Resolved Operando X-ray Techniques in Catalysis, a Case Study: CO Oxidation by O2 over Pt Surfaces and Alumina Supported Pt Catalysts. Catalysts 2017. [DOI: 10.3390/catal7020058] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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7
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Méndez González JM, Díaz de León Cabrero M. Absence of evidence is not evidence of absence: Multiple steady states in ammonia synthesis. Chem Eng Res Des 2016. [DOI: 10.1016/j.cherd.2016.08.006] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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8
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New parameter tuning method of washout filter-aided controller for dynamic behavior adjustment. Chin J Chem Eng 2016. [DOI: 10.1016/j.cjche.2016.04.035] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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9
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Biodiesel Production by Reactive Flash: A Numerical Simulation. INTERNATIONAL JOURNAL OF CHEMICAL ENGINEERING 2016. [DOI: 10.1155/2016/7843081] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Reactive flash (RF) in biodiesel production has been studied in order to investigate steady-state multiplicities, singularities, and effect of biodiesel quality when the RF system approaches to bubble point. The RF was modeled by an index-2 system of differential algebraic equations, the vapor split (ϕ) was computed by modified Rachford-Rice equation and modified Raoult’s law computed bubble point, and the continuation analysis was tracked on MATCONT. Results of this study show the existence of turning points, leading to a unique bubble point manifold,(xBiodiesel,T)=(0.46,478.41 K), which is a globally stable flashing operation. Also, the results of the simulation in MATLAB® of the dynamic behavior of the RF show that conversion of triglycerides reaches 97% for a residence time of 5.8 minutes and a methanol to triglyceride molar flow ratio of 5 : 1.
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10
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Towards efficient and inherently safer continuous reactor alternatives to batch-wise processing of fine chemicals: CSTR nonlinear dynamics analysis of alkylpyridines N-oxidation. Chem Eng Sci 2015. [DOI: 10.1016/j.ces.2015.06.012] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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11
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12
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Bykov VI, Serafimov LA, Tsybenova SB. Emergency starting regimes of a continuous stirred tank reactor. THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING 2015. [DOI: 10.1134/s0040579515040247] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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13
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Feliu E. Injectivity, multiple zeros and multistationarity in reaction networks. Proc Math Phys Eng Sci 2015. [DOI: 10.1098/rspa.2014.0530] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
Polynomial dynamical systems are widely used to model and study real phenomena. In biochemistry, they are the preferred choice for modelling the concentration of chemical species in reaction networks with mass-action kinetics. These systems are typically parametrized by many (unknown) parameters. A goal is to understand how properties of the dynamical systems depend on the parameters. Qualitative properties relating to the behaviour of a dynamical system are locally inferred from the system at steady state. Here, we focus on steady states that are the positive solutions to a parametrized system of
generalized polynomial
equations. In recent years, methods from computational algebra have been developed to understand these solutions, but our knowledge is limited: for example, we cannot efficiently decide how many positive solutions the system has as a function of the parameters. Even deciding whether there is one or more solutions is non-trivial. We present a new method, based on so-called
injectivity
, to preclude or assert that multiple positive solutions exist. The results apply to generalized polynomials and variables can be restricted to the linear, parameter-independent first integrals of the dynamical system. The method has been tested in a wide range of systems.
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Affiliation(s)
- Elisenda Feliu
- Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark
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14
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Chien YS, Li HY, Chiu WM, Lin YY, Chang HC. A combined method to find the bifurcation start point: An example of a two-species reaction in a non-adiabatic agitated batch gas-solid catalytic reactor. CAN J CHEM ENG 2014. [DOI: 10.1002/cjce.21966] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Yu-Shu Chien
- Department of Chemical and Materials Engineering; National Chin-Yi University of Technology; No. 57, Sec. 2, Zhongshan Rd., Taiping Dist. Taichung 41170 Taiwan, ROC
| | - Hsing-Ya Li
- Department of Chemical Engineering; National United University; 1, Lienda Miaoli 36003 Taiwan, ROC
| | - Wei-Ming Chiu
- Department of Chemical and Materials Engineering; National Chin-Yi University of Technology; No. 57, Sec. 2, Zhongshan Rd., Taiping Dist. Taichung 41170 Taiwan, ROC
| | - Yen-You Lin
- Department of Chemical and Materials Engineering; National Chin-Yi University of Technology; No. 57, Sec. 2, Zhongshan Rd., Taiping Dist. Taichung 41170 Taiwan, ROC
| | - Hung-Chen Chang
- Department of Chemical and Materials Engineering; National Chin-Yi University of Technology; No. 57, Sec. 2, Zhongshan Rd., Taiping Dist. Taichung 41170 Taiwan, ROC
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15
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Javanshir S, Izadi H, Tavakoli Mohammadi MR, Sabeti H. A Modified Correlation for Drop Size Distribution in an Experimental Mixer-Settler using Particle Swarm Optimization Algorithm. SEP SCI TECHNOL 2014. [DOI: 10.1080/01496395.2013.855230] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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16
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A process design framework for considering the stability of steady state operating points and Hopf singularity points in chemical processes. Chem Eng Sci 2013. [DOI: 10.1016/j.ces.2013.05.059] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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17
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Purohit JL, Mahajani SM, Patwardhan SC. Analysis of Steady-State Multiplicity in Reactive Distillation Columns. Ind Eng Chem Res 2013. [DOI: 10.1021/ie400288r] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jalesh L. Purohit
- Department of Chemical Engineering, Indian Institute of Technology, Bombay, Mumbai 400076,
India
| | - Sanjay M. Mahajani
- Department of Chemical Engineering, Indian Institute of Technology, Bombay, Mumbai 400076,
India
| | - Sachin C. Patwardhan
- Department of Chemical Engineering, Indian Institute of Technology, Bombay, Mumbai 400076,
India
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18
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Wang H, Yuan Z, Chen B, He X, Zhao J, Qiu T. Analysis of the stability and controllability of chemical processes. Comput Chem Eng 2011. [DOI: 10.1016/j.compchemeng.2010.12.011] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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19
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Hanke-Rauschenbach R, Mangold M, Sundmacher K. Nonlinear dynamics of fuel cells: a review. REV CHEM ENG 2011. [DOI: 10.1515/revce.2011.001] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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20
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21
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Jayakumar NS, Hashim MA, Thomas MT. Input Multiplicity Analysis in a Non-Isothermal CSTR for Acid-Catalyzed Hydrolysis of Acetic Anhydride. Chem Eng Technol 2010. [DOI: 10.1002/ceat.200900220] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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22
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Zahn VM, Mangold M, Seidel-Morgenstern A. Autothermal operation of an adiabatic simulated counter current reactor. Chem Eng Sci 2010. [DOI: 10.1016/j.ces.2009.06.042] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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23
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Wang HZ, Chen BZ, He XR, Zhao JS, Qiu T. Numerical Analysis Tool for Obtaining Steady-State Solutions and Analyzing Their Stability Characteristics for Nonlinear Dynamic Systems. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 2010. [DOI: 10.1252/jcej.09we200] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
| | | | - Xiao-Rong He
- Department of Chemical Engineering, Tsinghua University
| | - Jin-Song Zhao
- Department of Chemical Engineering, Tsinghua University
| | - Tong Qiu
- Department of Chemical Engineering, Tsinghua University
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24
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Zahn VM, Mangold M, Krasnyk M, Seidel-Morgenstern A. Theoretical Analysis of Heat Integration in a Periodically Operated Cascade of Catalytic Fixed-Bed Reactors. Chem Eng Technol 2009. [DOI: 10.1002/ceat.200900201] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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25
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Chien YS, Chiu WM. An application of Routh stability criterion to derive the necessary conditions for multiplicity of a CSTR. CAN J CHEM ENG 2009. [DOI: 10.1002/cjce.20132] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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26
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27
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28
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Agrawal R, West DH, Balakotaiah V. Modeling and analysis of local hot spot formation in down-flow adiabatic packed-bed reactors. Chem Eng Sci 2007. [DOI: 10.1016/j.ces.2006.11.057] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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29
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BROWN JEFFREYR, SCHMITZ ROGERA. MULTIPLICITY OF STATES IN SYSTEMS OF INTERACTING CATALYST PARTICLES. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986448908940342] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- JEFFREY R. BROWN
- a Department of Chemical Engineering , University of Notre Dame , Notre Dame, IN, 46556
| | - ROGER A. SCHMITZ
- a Department of Chemical Engineering , University of Notre Dame , Notre Dame, IN, 46556
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30
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McDONALD KATHIJ, SCHMITZ ROGERA. INTERACTING CATALYST PELLETS IN A TUBULAR REACTOR STEADY-STATE MULTIPLICITY IN SIMPLIFIED MODELS. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986449108910977] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- KATHI J. McDONALD
- a Department of Chemical Engineering , University of Notre Dame , Notre Dame , IN , 46556
| | - ROGER A. SCHMITZ
- a Department of Chemical Engineering , University of Notre Dame , Notre Dame , IN , 46556
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31
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DANIEL HSUEN H, SOTIRCHOS STRATISV. ON THE DYNAMICS OF THE COMBUSTION OF SINGLE CHAR PARTICLES. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986449108910972] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- H.K. DANIEL HSUEN
- a Department of Chemical Engineering , University of Rochester , Rochester , NY , 14627
| | - STRATIS V. SOTIRCHOS
- a Department of Chemical Engineering , University of Rochester , Rochester , NY , 14627
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32
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Razon LF. EFFECT OF REACTOR HEAT CAPACITY ON THE STABILITY AND START-UP TIME OF A DIABATIC CONTROLLED-CYCLED STIRRED TANK REACTOR. CHEM ENG COMMUN 2005. [DOI: 10.1080/009864490515649] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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33
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34
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Kiss AA, Bildea CS, Dimian AC, Iedema PD. Design of Recycle Systems with Parallel and Consecutive Reactions by Nonlinear Analysis. Ind Eng Chem Res 2004. [DOI: 10.1021/ie049458q] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Anton A. Kiss
- University of Amsterdam, Nieuwe Achtergracht 166, 1018 WV Amsterdam, The Netherlands, and Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherlands
| | - Costin S. Bildea
- University of Amsterdam, Nieuwe Achtergracht 166, 1018 WV Amsterdam, The Netherlands, and Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherlands
| | - Alexandre C. Dimian
- University of Amsterdam, Nieuwe Achtergracht 166, 1018 WV Amsterdam, The Netherlands, and Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherlands
| | - Piet D. Iedema
- University of Amsterdam, Nieuwe Achtergracht 166, 1018 WV Amsterdam, The Netherlands, and Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherlands
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35
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Herz RK. Spatiotemporal patterns in a porous catalyst during light-off and quenching of carbon monoxide oxidation. Chem Eng Sci 2004. [DOI: 10.1016/j.ces.2004.03.044] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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36
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Shinnar R. A Systematic Methodology for the Design Development and Scale-up of Complex Chemical Processes. The Role of Control and Concurrent Design. Ind Eng Chem Res 2003. [DOI: 10.1021/ie0304715] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Reuel Shinnar
- Department of Chemical Engineering, The City College of the City University of New York, New York 10031
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37
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Zeyer KP, Pushpavanam S, Kienle A. Nonlinear Behavior of Reactor−Separator Networks: Influence of Separator Control Structure. Ind Eng Chem Res 2003. [DOI: 10.1021/ie020768n] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- K.-P. Zeyer
- Max-Planck-Institut für Dynamik komplexer technischer Systeme, Sandtorstrasse 1, D-39106 Magdeburg, Germany, Department of Chemical Engineering, Indian Institute of Technology, Chennai (Madras) 600036, India, and Lehrstuhl für Automatisierungstechnik, Otto-von-Guericke-Universität, Universitätsplatz 2, D-39106 Magdeburg, Germany
| | - S. Pushpavanam
- Max-Planck-Institut für Dynamik komplexer technischer Systeme, Sandtorstrasse 1, D-39106 Magdeburg, Germany, Department of Chemical Engineering, Indian Institute of Technology, Chennai (Madras) 600036, India, and Lehrstuhl für Automatisierungstechnik, Otto-von-Guericke-Universität, Universitätsplatz 2, D-39106 Magdeburg, Germany
| | - A. Kienle
- Max-Planck-Institut für Dynamik komplexer technischer Systeme, Sandtorstrasse 1, D-39106 Magdeburg, Germany, Department of Chemical Engineering, Indian Institute of Technology, Chennai (Madras) 600036, India, and Lehrstuhl für Automatisierungstechnik, Otto-von-Guericke-Universität, Universitätsplatz 2, D-39106 Magdeburg, Germany
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38
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Waschler R, Pushpavanam S, Kienle A. Multiple steady states in two-phase reactors under boiling conditions. Chem Eng Sci 2003. [DOI: 10.1016/s0009-2509(03)00083-6] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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39
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Ourique CO, Biscaia EC, Pinto JC. The use of particle swarm optimization for dynamical analysis in chemical processes. Comput Chem Eng 2002. [DOI: 10.1016/s0098-1354(02)00153-9] [Citation(s) in RCA: 52] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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40
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Karimi I, Inamdar SR. Branching and stability of stationary solutions in multi-equation systems. Chem Eng Sci 2002. [DOI: 10.1016/s0009-2509(02)00062-3] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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41
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Diakov V, Varma A. Reactant distribution by inert membrane enhances packed-bed reactor stability. Chem Eng Sci 2002. [DOI: 10.1016/s0009-2509(02)00012-x] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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42
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Kiss AA, Bildea CS, Dimian AC, Iedema PD. State multiplicity in CSTR–separator–recycle polymerisation systems. Chem Eng Sci 2002. [DOI: 10.1016/s0009-2509(01)00405-5] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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43
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44
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Melo PA, Sampaio JG, Biscaia EC, Pinto JC. Periodic oscillations in continuous free-radical solution polymerization reactors—a general approach. Chem Eng Sci 2001. [DOI: 10.1016/s0009-2509(01)00023-9] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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45
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Alhumaizi K, Abasaeed A. On mutating autocatalytic reactions in a CSTR. I: multiplicity of steady states. Chem Eng Sci 2000. [DOI: 10.1016/s0009-2509(00)00020-8] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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46
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Gamboa-Torres A, Flores-Tlacuahuac A. Effect of Process Design/Operation on the Steady-State Operability of a CSTR. Chem Eng Res Des 2000. [DOI: 10.1205/026387600527392] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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47
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Ellison P, Feinberg M, Yue MH, Saltsburg H. How catalytic mechanisms reveal themselves in multiple steady-state data: II. An ethylene hydrogenation example. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s1381-1169(99)00372-6] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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48
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How catalytic mechanisms reveal themselves in multiple steady-state data: I. Basic principles. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s1381-1169(99)00371-4] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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49
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Shinnar R, Dainson B, Rinard IH. Partial Control. 5. A Systematic Approach to the Concurrent Design and Scale-up of Complex Processes: The Role of Control System Design in Compensating for Significant Model Uncertainties. Ind Eng Chem Res 1999. [DOI: 10.1021/ie9900770] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- R. Shinnar
- Department of Chemical Engineering, City College of New York, 140th Street and Convent Avenue, New York, New York 10031
| | - B. Dainson
- Department of Chemical Engineering, City College of New York, 140th Street and Convent Avenue, New York, New York 10031
| | - I. H. Rinard
- Department of Chemical Engineering, City College of New York, 140th Street and Convent Avenue, New York, New York 10031
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Silva-Beard A, Flores-Tlacuahuac A. Effect of Process Design/Operation on the Steady-State Operability of a Methyl Methacrylate Polymerization Reactor. Ind Eng Chem Res 1999. [DOI: 10.1021/ie990032z] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Andrea Silva-Beard
- Chemical Engineering Department, Universidad Iberoamericana, Prolongación Paseo de la Reforma 880, México DF, 01210 Mexico
| | - Antonio Flores-Tlacuahuac
- Chemical Engineering Department, Universidad Iberoamericana, Prolongación Paseo de la Reforma 880, México DF, 01210 Mexico
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