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.

中文翻译：

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低原子气体中化学反应速率的实验数据处理方法

摘要

提出了一种基于广义阿伦尼乌斯定律的联合处理来自不同实验室的实验数据的新方法。该方法基于功能系统的构建，该功能在具有任意权重的给定点集合上正交。结果，可以估计近似系数的置信区间，并且可以正确地确定近似所需的项数。证明了该方法的性能适用于在\（T <1000 \） K下很重要的空气中氢气燃烧反应。可以实现高精度的反应速率近似。