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Mathematical modeling of the low-temperature steam reforming of propane in the presence of methane over Ni-based catalyst

L. F. Akhmadullina1, L. V. Enikeeva2, A. V. Novichkova3, I. M. Gubaydullin4, P. V. Snytnikov5, D. I. Potemkin6

AnnotationIn this paper the mathematical model of the low-temperature steam reforming (LSR) of associated petroleum gas was formalized basing on the example of the LSR of model methane-propane mixture. On the basis of kinetic transformations’ schemes mathematical models of reactions were obtained. It was shown that the resulting differential equations system is stiff on the part of its components. To solve the direct kinetic problem we proposed a single-iteration Rosenbrock method of the 3th order. In the paper reactants’ concentration dependence on the reactor length at the certain temperature and on the array of temperatures were obtained. It was shown that differential equations’ systems that are stiff on the part of their components can be effectively solved by the method chosen.
Keywordsmathematical modeling, kinetics of chemical reactions, associated petroleum gas, low-temperature steam reforming, soft steam reforming, catalysis, Rosenbrock method

1Student of Automation of ProductionProcesses Faculty, Ufa State Petroleum Technological University, Ufa; odnasvete_2014@mail.ru

2Postgraduate student of Mathematical Chemistry Laboratory, Institute of Petrochemistry and Catalysis of Russian Academy of Sciences, Ufa; leniza.enikeeva@gmail.com

3Associate professor of Computer Science and Communication Technology Department, Ufa State Petroleum Technological University, Ufa; stacy-pm25@mail.ru

4Senior Researcher of Mathematical Chemistry Laboratory, Institute of Petrochemistry and Catalysis of Russian Academy of Sciences, Ufa; professor of Petroleum and Gas Technology Department, Ufa State Petroleum Technological University, Ufa; irekmars@mail.ru

5Head of the Laboratory of Energy-efficient Catalytic Processes, Novosibirsk State University, Novosibirsk; Senior researcher of the Laboratory of Catalytic Processes in Fuel Cells, Boreskov Institute of Catalysis, Siberian Branch of Russian Academy of Sciences, Novosibirsk; pvsnyt@catalysis.ru

6Researcher of the Laboratory of Energy-efficient Catalytic Processes, Novosibirsk State University, Novosibirsk; Researcher of the Laboratory of Catalytic Processes in Fuel Cells, Boreskov Institute of Catalysis, Siberian Branch of Russian Academy of Sciences, Novosibirsk; potema@catalysis.ru

Citation: L. F. Akhmadullina, L. V. Enikeeva, A. V. Novichkova, I. M. Gubaydullin, P. V. Snytnikov, D. I. Potemkin, "[Mathematical modeling of the low-temperature steam reforming of propane in the presence of methane over Ni-based catalyst]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:3 (2016) 117–126 (In Russian)