Geodesic
Mathematical modeling of the low-temperature steam reforming of propane in the presence of methane over Ni-based catalyst
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 117-126

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In 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.
Keywords: mathematical modeling, kinetics of chemical reactions, associated petroleum gas, low-temperature steam reforming, soft steam reforming, catalysis, Rosenbrock method. 
@article{SVMO_2016_18_3_a11,
     author = {L. F. Akhmadullina and L. V. Enikeeva and A. V. Novichkova and I. M. Gubaydullin and D. I. Potemkin and P. V. Snytnikov},
     title = {Mathematical modeling of the low-temperature steam reforming of propane in the presence of methane over {Ni-based} catalyst},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {117--126},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a11/}
}
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L. F. Akhmadullina; L. V. Enikeeva; A. V. Novichkova; I. M. Gubaydullin; D. I. Potemkin; P. V. Snytnikov. Mathematical modeling of the low-temperature steam reforming of propane in the presence of methane over Ni-based catalyst. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 117-126. http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a11/