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

Authors
  • Belov, A. A.1, 2
  • Kalitkin, N. N.3
  • 1 Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russia , Moscow (Russia)
  • 2 RUDN University, Moscow, 117198, Russia , Moscow (Russia)
  • 3 Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047, Russia , Moscow (Russia)
Type
Published Article
Journal
Computational Mathematics and Mathematical Physics
Publisher
Pleiades Publishing
Publication Date
Jul 01, 2020
Volume
60
Issue
7
Pages
1199–1207
Identifiers
DOI: 10.1134/S0965542520070040
Source
Springer Nature
Keywords
License
Yellow

Abstract

AbstractA 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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T < 1000$$\end{document} K. High accuracy of reaction rate approximation is achieved.

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