TY - GEN

T1 - Improvement of the Landau-Teller model for CO2 on the basis of the Chapman–Enskog method

AU - Kustova, E.

AU - Lukasheva, A.

AU - Mekhonoshina, M.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85093085142&partnerID=8YFLogxK

U2 - 10.1088/1757-899X/927/1/012047

DO - 10.1088/1757-899X/927/1/012047

M3 - Conference contribution

T3 - IOP Conference Series: Materials Science and Engineering

BT - XIII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI'2020) 6-13 September 2020, Alushta, Russia

PB - IOP Publishing Ltd.

T2 - XIII International Conference on Applied Mathematics and Mechanics in the Aerospace Industry

Y2 - 6 September 2020 through 13 September 2020

ER -