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Method for Experimental Data Processing Concerning Chemical Reaction Rates in Low-Atomic Gases

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Abstract

A new method for joint processing of experimental data from various laboratories based on their approximation by the generalized Arrhenius law is proposed. The method is based on the construction of a system of functions that are orthogonal on a given set of points with arbitrary weights. As a result, the confidence intervals of the approximation coefficients can be estimated and the number of terms required for the approximation can be correctly determined. The performance of the method is demonstrated as applied to reactions of hydrogen combustion in air that are important at \(T < 1000\) K. High accuracy of reaction rate approximation is achieved.

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ACKNOWLEDGMENTS

The authors are sincerely grateful to L.V. Kuzmina for valuable comments.

Funding

This work was supported by the Russian Science Foundation, grant no. 16-11-10001-P.

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Authors and Affiliations

  1. Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia

    A. A. Belov

  2. RUDN University, 117198, Moscow, Russia

    A. A. Belov

  3. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    N. N. Kalitkin

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  1. A. A. Belov
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Correspondence to A. A. Belov or N. N. Kalitkin.

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Translated by I. Ruzanova

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Belov, A.A., Kalitkin, N.N. Method for Experimental Data Processing Concerning Chemical Reaction Rates in Low-Atomic Gases. Comput. Math. and Math. Phys. 60, 1199–1207 (2020). https://doi.org/10.1134/S0965542520070040

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