Tubular chemical reactor theory to an arrangement of algebraic equations
Keywords:
Arrangement of algebraic, Tubular chemical, Exothermic chemical, Nonlinear equationAbstract
An operational framework of coordination is inferred and is utilized to decrease the model for an adiabatic tubular Chemical Reactor Theory to an arrangement of algebraic equations. Simple execution, basic activities, and precise arrangements are the basic highlights of the proposed wavelets technique. The numerical outcomes gotten by the present technique have been contrasted and compared with other strategy results. This paper exhibits an ancient numerical strategy of comprehending mathematical model for an adiabatic tubular chemical reactor which forms an irreversible exothermic chemical reaction. For enduring state solution for an adiabatic rounded concoction reactor, the model can be diminished to a conventional differential equation with a parameter in the limit conditions which changed over into a system of nonlinear equation that can be tackled numerically utilizing Taylor wavelets technique (TWM).
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Al-Ali, K., Kodama, S., & Sekiguchi, H. (2014). Comparison of the performance of a direct-contact bubble reactor and an indirectly heated tubular reactor for solar-aided methane dry reforming employing molten salt. Chemical Engineering and Processing: Process Intensification, 83, 56-63.
Amundson, N. R. (2014). The mathematical understanding of chemical engineering systems. Elsevier.
Andreini, A., Ceccherini, A., Facchini, B., Turrini, F., & Vitale, I. (2009, January). Assessment of a set of numerical tools for the design of aero-engines combustors: study of a tubular test rig. In Turbo Expo: Power for Land, Sea, and Air (Vol. 48838, pp. 421-433).
Bassingthwaighte, J. B. (1970). Blood flow and diffusion through mammalian organs: Stochastic methods used for chemical reactor analysis are readily applicable to complex biologic systems. Science (New York, NY), 167(923), 1347.
Bonvin, D., Rinker, R. G., & Mellichamp, D. A. (1980). Dynamic analysis and control of a tubular autothermal reactor at an unstable state. Chemical Engineering Science, 35(3), 603-612.
Calise, F., d’Accadia, M. D., & Restuccia, G. (2007). Simulation of a tubular solid oxide fuel cell through finite volume analysis: Effects of the radiative heat transfer and exergy analysis. International Journal of Hydrogen Energy, 32(17), 4575-4590.
Caracotsios, M., & Stewart, W. E. (1995). Sensitivity analysis of initial-boundary-value problems with mixed PDEs and algebraic equations: applications to chemical and biochemical systems. Computers & chemical engineering, 19(9), 1019-1030.
Crider, J. E., & Foss, A. S. (1966). Computational studies of transients in packed tubular chemical reactors. AIChE journal, 12(3), 514-522.
Dixon, A. G., Nijemeisland, M., & Stitt, E. H. (2006). Packed tubular reactor modeling and catalyst design using computational fluid dynamics. Advances in Chemical Engineering, 31, 307-389.
Fan, S., Gretton-Watson, S. P., Steinke, J. H. G., & Alpay, E. (2003). Polymerisation of methyl methacrylate in a pilot-scale tubular reactor: modelling and experimental studies. Chemical engineering science, 58(12), 2479-2490.
Flores-Tlacuahuac, A., & Grossmann, I. E. (2011). Simultaneous cyclic scheduling and control of tubular reactors: Parallel production lines. Industrial & engineering chemistry research, 50(13), 80868096.
Fogler, H. S. (2010). Essentials of Chemical Reaction Engineering: Essenti Chemica Reactio Engi. Pearson Education.
Georgiadis, M. C., & Macchietto, S. (2000). Dynamic modelling and simulation of plate heat exchangers under milk fouling. Chemical Engineering Science, 55(9), 1605-1619.
Gilkeson, M. M., White, R. R., & Sliepcevich, C. M. (1953). Synthesis of Methane by Hydrogenation of Carbon Monoxide in a Tubular Reactor. Industrial & Engineering Chemistry, 45(2), 460-467.
Häfele, M., Kienle, A., Boll, M., Schmidt, C. U., & Schwibach, M. (2005). Dynamic simulation of a tubular reactor for the production of low-density polyethylene using adaptive method of lines. Journal of Computational and Applied Mathematics, 183(2), 288-300.
Hayes, R. E., & Mmbaga, J. P. (2012). Introduction to chemical reactor analysis. CRC Press.
Hillestad, M. (2010). Systematic staging in chemical reactor design. Chemical engineering science, 65(10), 3301-3312.
Hsuen, H. K. D. (1996). Effects of spatial discretization errors on the steady-state multiplicity of a onedimensional tubular reactor model with intraparticle transport. Chemical engineering science, 51(17), 4215-4218.
Iordanidis, A. A. (2002). Mathematical modeling of catalytic fixed bed reactors (pp. 98-112). Enschede, The Netherlands: Twente University Press.
Jakobsen, H. A. (2008). Chemical reactor modeling. Multiphase Reactive Flows.
Khodayari, H., Ommi, F., & Saboohi, Z. (2020). A review on the applications of the chemical reactor network approach on the prediction of pollutant emissions. Aircraft Engineering and Aerospace Technology.
Koppel, L. B. (1966). Dynamics and Control of a Class of Nonlinear, Tubular, Parametrically Forced Heat Exchanger and Chemical Reactors. Industrial & Engineering Chemistry Fundamentals, 5(3), 403413.
Kubicek, M., & Holodniok, M. (1982). Two-Phase Model Of A Tubular Nonadiabatic Reactor With Axial Dispersion And Gas-To-Solid Heat And Mass Transfer. Numerical Methods For Steady State Analysis. In International
Heat Transfer Conference Digital Library. Begel House Inc..
Nájera, I., Álvarez, J., Baratti, R., & Gutiérrez, C. (2016). Control of an exothermic packed-bed tubular reactor. IFAC-PapersOnLine, 49(7), 278-283.
Pareek, V. (2005). Light intensity distribution in a dual-lamp photoreactor. International Journal of Chemical Reactor Engineering, 3(1).
Salmi, T. O., Mikkola, J. P., & Wärnå, J. P. (2019). Chemical reaction engineering and reactor technology. CRC Press.
Sayer, C., Palma, M., & Giudici, R. (2002). Kinetics of vinyl acetate emulsion polymerization in a pulsed tubular reactor: comparison between experimental and simulation results. Brazilian Journal of Chemical Engineering, 19(4), 425-431.
Schweiger, C. A., & Floudas, C. A. (1999). Optimization framework for the synthesis of chemical reactor networks. Industrial & Engineering Chemistry Research, 38(3), 744-766.
Varma, A., & Amundson, N. R. (1973). Some observations on uniqueness and multiplicity of steady states in non adiabatic chemically reacting systems. The Canadian Journal of Chemical Engineering, 51(2), 206-226.
Zacca, J. J., & Ray, W. H. (1993). Modelling of the liquid phase polymerization of olefins in loop reactors. Chemical Engineering Science, 48(22), 3743-3765.
Zavala, V. M., & Biegler, L. T. (2006). Large-scale parameter estimation in low-density polyethylene tubular reactors. Industrial & engineering chemistry research, 45(23), 7867-7881.
Zheng, D., Hoo, K. A., & Piovoso, M. J. (2002). Low-order model identification of distributed parameter systems by a combination of singular value decomposition and the Karhunen− Loève expansion. Industrial & Engineering Chemistry Research, 41(6), 1545-1556.
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