Математика и математическое моделирование. 2015; : 18-35
Нестационарные эффекты в реакторе Фишера-Тропша с неподвижным слоем частиц катализатора
Аннотация
Список литературы
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7. Özkan L., Kothare M.V. Stability Analysis of A Multi-Model Predictive Control Algorithm with Application to Control of Chemical Reactors // Journal of Process Control. 2006. Vol. 16, no. 2. P. 81-90. DOI: 10.1016/j.jprocont.2005.06.013
8. Himmelsbach W., Houlton D., Ortlieb D., Lovallo M. New Advances in Agitation Technology for Exothermic Reactions in Very Large Reactors // Chemical Engineering Science. 2006. Vol. 61, no. 9. P. 3044-3052. DOI: 10.1016/j.ces.2005.10.059
9. Maestri F., Rota R. Temperature Diagrams for Preventing Decomposition or Side Reactions in Liquid-Liquid Semibatch Reactors // Chemical Engineering Science. 2006. Vol. 61, no. 10. P. 3068-3078. DOI: 10.1016/j.ces.2005.11.055
10. Pao V. Asymptotic Stability of Reaction-Diffusion Systems in Chemical Reactor and Combustion Theory // Journal of Mathematical Analysis and Applications. 1981. Vol. 82, no. 2. P. 503-526. DOI: 10.1016/0022-247X(81)90213-4
11. Drake J.A., Radke C. J., Newman J. Transient Linear Stability of a Simons-Process Gas-Liquid Electrochemical Flow Reactor Using Numerical Simulations // Chemical Engineering Science. 2001. Vol. 56, no. 20. P. 5815-5834. DOI: 10.1016/S0009-2509(01)00268-8
12. Ojeda M., Nabar R., Nilekar A., Ishikawa A., Mavrikakis M., Iglesia E. CO Activation Pathways and the Mechanism of Fischer-Tropsch Synthesis // Journal of Catalysis. 2010. Vol. 272, no. 2. P. 287-297. DOI: 10.1016/j.jcat.2010.04.012
13. Borg O., Eri S., Blekkan E.A., Storster S., Wigum H., Rytter E., Holmen A. Fischer-Tropsch synthesis over γ-alumina-supported cobalt catalysts: Effect of support variables // Journal of Catalysis. 2007. Vol. 248, no. 1. P. 89-100. DOI: 10.1016/j.jcat.2007.03.008
14. Derevich I.V., Ermolaev V.S., Zolnikova N.V., Mordkovich V.Z. Modeling the Thermal and Physical Properties of Liquid and Gas Mixtures of Fischer-Tropsch Synthesis Products // Theoretical Foundations of Chemical Engineering. 2011. Vol. 45, no. 2. P. 221-226. DOI: 10.1134/S0040579511020060
Mathematics and Mathematical Modeling. 2015; : 18-35
Transient Effects in Fischer-Tropsch Reactor with a Fixed Bed of Catalyst Particles
Abstract
Based on analysis of small temperature disturbances in the Fischer-Tropsch reactor with a fixed bed of catalyst particles various scenarios of thermal instability were investigated. There are two possible scenarios of thermal instability of the reactor. First, thermal explosion may occur due to growth of temperature disturbances inside a catalytic granule. Second scenario connected with loss of thermal stability as a result of an initial increase in temperature in the reactor volume. The boundaries of thermal stability of the reactor were estimated by solving the eigenvalue problems for spherical catalyst particles and cylindrical reactor. Processes of diffusional resistance inside the catalytic granule and heat transfer from wall of the reactor tube are taken into account. Estimation of thermal stability area is compared with the results of numerical simulation of behavior of temperature and concentration of synthesis gas.
References
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5. Strozzi F., Alo´s M.A., Zaldi´var J.M. A Method for Assessing Thermal Stability of Batch Reactors by Sensitivity Calculation Based on Lyapunov Exponents: Experimental Verification // Chemical Engineering Science. 1994. Vol. 49, no. 24. P. 5549-5561. DOI: 10.1016/0009-2509(94)00302-5
6. Dubljevic S., Kazantzis N. A new Lyapunov Design Approach for Nonlinear Systems Based on Zubov’s method // Automatica. 2002. Vol. 38, no. 11. P. 1999-2007. DOI: 10.1016/S0005-1098(02)00110-3
7. Özkan L., Kothare M.V. Stability Analysis of A Multi-Model Predictive Control Algorithm with Application to Control of Chemical Reactors // Journal of Process Control. 2006. Vol. 16, no. 2. P. 81-90. DOI: 10.1016/j.jprocont.2005.06.013
8. Himmelsbach W., Houlton D., Ortlieb D., Lovallo M. New Advances in Agitation Technology for Exothermic Reactions in Very Large Reactors // Chemical Engineering Science. 2006. Vol. 61, no. 9. P. 3044-3052. DOI: 10.1016/j.ces.2005.10.059
9. Maestri F., Rota R. Temperature Diagrams for Preventing Decomposition or Side Reactions in Liquid-Liquid Semibatch Reactors // Chemical Engineering Science. 2006. Vol. 61, no. 10. P. 3068-3078. DOI: 10.1016/j.ces.2005.11.055
10. Pao V. Asymptotic Stability of Reaction-Diffusion Systems in Chemical Reactor and Combustion Theory // Journal of Mathematical Analysis and Applications. 1981. Vol. 82, no. 2. P. 503-526. DOI: 10.1016/0022-247X(81)90213-4
11. Drake J.A., Radke C. J., Newman J. Transient Linear Stability of a Simons-Process Gas-Liquid Electrochemical Flow Reactor Using Numerical Simulations // Chemical Engineering Science. 2001. Vol. 56, no. 20. P. 5815-5834. DOI: 10.1016/S0009-2509(01)00268-8
12. Ojeda M., Nabar R., Nilekar A., Ishikawa A., Mavrikakis M., Iglesia E. CO Activation Pathways and the Mechanism of Fischer-Tropsch Synthesis // Journal of Catalysis. 2010. Vol. 272, no. 2. P. 287-297. DOI: 10.1016/j.jcat.2010.04.012
13. Borg O., Eri S., Blekkan E.A., Storster S., Wigum H., Rytter E., Holmen A. Fischer-Tropsch synthesis over γ-alumina-supported cobalt catalysts: Effect of support variables // Journal of Catalysis. 2007. Vol. 248, no. 1. P. 89-100. DOI: 10.1016/j.jcat.2007.03.008
14. Derevich I.V., Ermolaev V.S., Zolnikova N.V., Mordkovich V.Z. Modeling the Thermal and Physical Properties of Liquid and Gas Mixtures of Fischer-Tropsch Synthesis Products // Theoretical Foundations of Chemical Engineering. 2011. Vol. 45, no. 2. P. 221-226. DOI: 10.1134/S0040579511020060
