Abstract
A three-level mathematical model is proposed for heat release and the variation of the composition of a multicomponent gas mixture on the solid surface of a catalyst. The model contains three levels of description. The first describes the kinetics of a surface catalytic reaction. The second describes heat and mass transfer in the boundary layers. The third presents hydrodynamic and thermal models for the velocity of a multicomponent gas flow and the variation of temperature in the catalyst lattice.
Similar content being viewed by others
References
Marshneva, V.I., Boreskov, G.K., Yablonskii, G.S., and Kim, V.F., Study of the Reaction of Carbon Monoxide Oxidation by Oxygen over Platinum Catalysts, Kinet. Katal., 1984, vol. 25, no. 3, p. 662.
Marshneva, V.I. and Boreskov, G.K., Study of Self-Sustained Oscillations in the Reaction of Carbon Monoxide Oxidation over Platinum Applied on Silica Gel, Kinet. Katal., 1984, vol. 25, no. 4, p. 875.
Bykov, V.I., Zarkhin, Yu.G., and Yablonskii, G.S., Region of the Multiplicity of Stationary States in the Reaction of CO Oxidation over Pt, Teor. Eksp. Khim., 1980, vol. 16, no. 4, p. 487.
Yablonskii, G.S., Bykov, V.I., Slin’ko, M.G., and Kuznetsov, Yu.I., Analyzing the Steady-State Conditions of the Reaction of CO Oxidation over Pt, Dokl. Akad. Nauk SSSR, 1976, vol. 229, no. 4, p. 917.
Bykov, V.I., Yablonskii, G.S., and Slin’ko, M.G., Dynamics of the Reaction of Carbon Monoxide Oxidation over Platinum, Dokl. Akad. Nauk SSSR, 1976, vol. 229, no. 6, p. 1356.
Elokhin, V.I., Bykov, V.I., Slin’ko, M.G., and Yablonskii, G.S., Some Problems of the Dynamics of the CO Oxidation Reaction over Platinum Catalysts, Dokl. Akad. Nauk SSSR, 1978, vol. 238, no. 3, p. 615.
Ivanov, V.P., Elokhin, V.I., Yablonskii, G.S., et al., Kinetic Model of the CO Oxidation Reaction over Platinum Group Metals, Kinet. Katal., 1981, vol. 22, no. 4, p. 1040.
Bykov, V.I., Kiselev, N.V., and Kiselev, V.M., Influence of Diffusion, Size, and Surface Geometry of a Solid Catalyst on the Rate of a Catalytic Reaction, Vestn. Krasnoyarsk. Gos. Univ., 2005, no. 9, p. 167.
Makeev, A.G. and Semendiayeva, N.L., Self-Sustained Oscillations in a?Heterogeneous Catalytic Reaction: Comparison of Stochastic and Deterministic Simulations, Mat. Model., 1996, vol. 8, no. 8, p. 76.
Tsybenova, S.B., Basic Models of Thermokinetics, Fiz. Khim. Kinet. Gaz. Dinam., 2008, no. 6, p. 44.
Deur, J., et al., Simulation of Engine Exhaust Aftertreatment with CFD Using Detailed Chemistry, Environ. Eng. Sci, 2008, vol. 25, no. 7, p. 1017.
Wolf, M., Deutsmann, O., Behreudt, F., and Warnats, J., Kinetic Model of the Oxygen-Free Methane Conversion on a Platinum Catalyst, Catal. Lett., 1999, no. 61, p. 15.
Raja, L., Deutschmann, O., et al., Navier-Stokers Gleichyngen Mit Boundary-Layer Anzatz, Catal. Today, 2000, vol. 59, no. 2, p. 60.
Tuttlies, U., Schmeisser, V., and Eigenberger, G., A Mechanistic Simulation Model for NOx Storage Catalyst Dynamics, Chem. Eng. Sci., 2004, vol. 59, nos. 22–23, p. 4731.
Alkamade, U. and Schumann, B., Engines and Exhaust After Treatment Systems for Future Automotive Applications, Solid State Ionics, 2006, no. 177, p. 2291.
Dvorak, R., et al., Catalytic Filtration of Flue Gases Polluted by NOx, Chem. Eng. Trans., 2010, vol. 21, p. 799.
Bykov, V.I., Modelirovanie kriticheskikh yavlenii v khimicheskoi kinetike (Modeling of Critical Phenomena in Chemical Kinetics), Moscow: Nauka, 1988.
Loitsyanskii, L.G., Laminarnyi pogranichnyi sloi (Laminar Boundary Layer), Moscow: Gos. Izd. Fiz.-Mat. Literatury, 1962.
Faber, T.E., Gidrodinamika (Fluid Dynamics), Moscow: Postmarket, 2001.
Nayfeh, A.H., Perturbation Methods, New York: Wiley, 1973.
Cole, J.D., Perturbation Methods in Applied Mathematics, Waltham, Mass.: Blaisdell, 1968.
Kheifets, L.I. and Naimark, A.V., Mnogofaznye protsessy v poristykh sredakh (Multiphase Processes in Porous Media), Moscow: Khimiya, 1981.
Churaev, N.V., Fizikokhimiya protsessov massoperenosa v poristykh telakh (Physicochemistry of Mass Transfer Processes in Porous Solids), Moscow: Khimiya, 1990.
Dul’nev, G.N. and Novikov, V.V., Protsessy perenosa v neodnorodnykh sredakh (Transport Processes in Inhomogeneous Media), Leningrad: Energoatomizdat, 1991.
Gebhart, B., Jaluria, Y., Mahajan, R., and Sammakia, B., Buoyancy-Induced Flows and Transport, Washington, DC: Hemisphere, 1988, vol. 2.
De Groot, S.R and Mazur, P., Non-Equilibrium Thermodynamics, Amsterdam: North-Holland, 1962.
Kondepudi, D. and Prigigine, J., Modern Thermodynamics: From Heat Engines to Dissipative Structures, New York: Wiley, 1999.
Rudobashta, S.P. and Kartashev, E.M., Diffuziya v khimiko-tekhnologicheskikh sistemakh (Diffusion in Chemical Engineering Systems), Moscow: Khimiya, 1993.
Missenard, A., Conductive Thermique Des Solides, Liquedies, Gas Et De Leurs Melanges, Paris: Eyrolles, 1965.
Vargaftik, N.B., Spravochnik po teplofizicheskim svoistvam gazov i zhidkostei (Handbook of Thermal and Physical Properties of Gases and Liquids), Moscow: Nauka, 1966.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.L. Tovazhnyanskii, Ya.A. Tolchinsky, E.V. Ved, V.P. Meshalkin, 2011, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2011, Vol. 45, No. 5, pp. 498–503.
Rights and permissions
About this article
Cite this article
Tovazhnyanskii, L.L., Tolchinsky, Y.A., Ved, E.V. et al. Three-level model of a surface catalytic reaction over a platinum catalyst. Theor Found Chem Eng 45, 589–594 (2011). https://doi.org/10.1134/S004057951105037X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S004057951105037X