Improvement of the Landau-Teller model for CO2 on the basis of the Chapman–Enskog method

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Abstract

Vibrational relaxation of carbon dioxide in the three-temperature kinetic-theory approach is studied. The focus is on the evaluation of the vibrational energy production terms in the coupled symmetric-bending and asymmetric modes. Using the generalized Chapman – Enskog method, the energy production terms are expressed as functions of the gas temperature, vibrational temperatures of CO2 modes and probabilities of corresponding transitions. It is shown that a modification of the Landau–Teller formula can be obtained from the rigorous theoretical expressions using several limiting assumptions. Whereas VT relaxation in the bending mode can be described by the Landau–Teller approximation with a satisfactory accuracy, its application to the inter-mode exchange requires introducing relaxation times depending on the vibrational temperatures of the modes involved to the transitions.
Original languageEnglish
Title of host publicationXIII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI'2020) 6-13 September 2020, Alushta, Russia
PublisherIOP Publishing Ltd.
DOIs
StatePublished - 2020
EventXIII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry - Alushta, Russian Federation
Duration: 6 Sep 202013 Sep 2020

Publication series

NameIOP Conference Series: Materials Science and Engineering
Volume927

Conference

ConferenceXIII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry
Abbreviated titleAMMAI'2020
CountryRussian Federation
CityAlushta
Period6/09/2013/09/20

Scopus subject areas

  • Physics and Astronomy(all)

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