On the influence of multi-quantum transitions on gas-dynamic parameters in the relaxation zone behind shock waves

Authors

  • Lev D. Mishin St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;
  • Elena V. Kustova St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

DOI:

https://doi.org/10.21638/11701/spbu01.2016.214

Abstract

In this paper the influence of multi-quantum V T-exchanges on gas flow parameters in the relaxation zone behind a shock wave is studied. The set of equations of state-to-state vibrational-chemical kinetics coupled to the gas-dynamic equations is simulated numerically in the zero-order approximation of the Chapman— Enskog method. Rate coefficients of V T-transitions are calculated on the basis of Billing’s trajectory calculations. Distributions of fluid dynamic variables are obtained for the binary mixture N and N2 under various free stream conditions. Significant effect of multi-quantum transitions on the vibrational level populations and atom molar fractions is shown. The maximum error in temperature values calculated taking into account only single-quantum transitions is within 10–12%, and does not exceed 6–8% for the velocity. Refs 7. Figs 5.

Downloads

Download data is not yet available.
 

References

Литература

1. Нагнибеда Е.А., Кустова Е.В. Кинетическая теория процессов переноса и релаксации в потоках неравновесных реагирующих газов. СПб.: Изд-во С.-Петерб. ун-та, 2003. 272 с.

2. Кунова О.В., Нагнибеда Е.А. О влиянии моделей обменных химических реакций на параметры течения воздуха за сильными ударными волнами // Вестник С-Петерб. ун-та. Серия 1. 2014. Т. 1(59). Вып. 1. С. 124-133.

3. Kunova O., Nagnibeda E. State-to-state description of reacting air flows behind shock waves // Chemical Physics. 2014. Vol. 441. P. 66-76.

4. Marrone P.V., Treanor C.E. Chemical relaxation with preferential dissociation from excited vibration levels // Phys. Fluids. 1963. Vol. 6, N 9. P. 1215-1221.

5. Bil ling G.D., Fisher E.R. VV - and VT-rate coefficients in N2 by a quantum-classical model // Chem. Phys. 1979. Vol. 43. P. 395-401.

6. Capitel li M., Armenise I., Gorse C. State-to-state approach in the kinetics of air components under re-entry conditions // J. Thermophys. Heat Transfer. 1997. Vol. 11, N 4. P. 570-578.

7. Adamovich I.V., Macheret S.O., Rich J.W., Treanor C.E. Vibrational Energy Transfer Rates Using a Forced Harmonic Oscillator Model // J. Thermophys. Heat Transfer. 1998. Vol. 12, N 1. P. 57-65.

References

1. Nagnibeda E.A., Kustova E.V., Kinetic theory of transport and relaxation processes in nonequilibrium reacting gas flows (Saint Petersburg, Saint Petersburg University Press, 2003, 272 p.) [in Russian].

2. Kunova O.V., Nagnibeda E.A., “On the influence of exchange chemical reaction models on the parameters of air flows behind strong shock waves”, Vestnik St.Petersburg Univ. Ser. 1 1(59), Issue 1, 124–133 (2014) [in Russian].

3. Kunova O., Nagnibeda E., “State-to-state description of reacting air flows behind shock waves”, Chemical Physics 441, 66–76 (2014).

4. Marrone P.V., Treanor C. E., “Chemical relaxation with preferential dissociation from excited vibration levels”, Phys. Fluids 6(9), 1215–1221 (1963).

5. Billing G.D., Fisher E. R., “V V - and V T-rate coefficients in N2 by a quantum-classical model”, Chem. Phys. 43, 395–401 (1979).

6. Capitelli M., Armenise I., Gorse C., “State-to-state approach in the kinetics of air components under re-entry conditions”, J. Thermophys. Heat Transfer 11(4), 570–578 (1997).

7. Adamovich I.V., Macheret S. O., Rich J.W., Treanor C.E. “Vibrational Energy Transfer Rates Using a Forced Harmonic Oscillator Model”, J. Thermophys. Heat Transfer 12(1), 57–65 (1998).

Downloads

Published

2020-10-19

How to Cite

Mishin, L. D., & Kustova, E. V. (2020). On the influence of multi-quantum transitions on gas-dynamic parameters in the relaxation zone behind shock waves. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(2), 1. https://doi.org/10.21638/11701/spbu01.2016.214

Issue

Vol. 3 No. 2 (2016)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.