Theory of Translational Energy Relaxation in Binary Mixtures of Dilute Gases with Chemical Reaction
A.S. Cukrowskia, S. Fritzscheb and J. Popielawskia
aInstitute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warszawa, Poland
bCentral Institute of Isotope and Radiation Research, D-O-7050 Leipzig, Germany
Received: June 26, 1992
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A simple approach to the process of translational energy relaxation in dilute gases due to Dahler, Malkin, Shizgal and others is extended to the case of systems with chemical reaction. Fundamental quantities characterizing the relaxation processes such as the relaxation time and collision numbers during this time are computed for a number of molecular models of the chemical reaction (the Prigogine-Xhrouet model, the line-of-centers model, a modified line-of-centers model, and reverse versions of these models). Results of this analytical theory are compared with the results of numerical simulations of solutions of the appropriate Boltzmann equation with the use of the modified Nanbu-Babovsky method. This comparison leads to very good agreement between the analytical theory and numerical calculations. A marked influence of the chemical reaction on the translational relaxation in a dilute gas is another important conclusion of this paper.
DOI: 10.12693/APhysPolA.82.1005
PACS numbers: 82.20.Rp, 82.20.-w, 82.20.Mj, 82.20.Wt, 05.20.Dd