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Nonequilibrium Vibration-Dissociation Coupling in Hypersonic Flows

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Molecular Physics and Hypersonic Flows

Part of the book series: NATO ASI Series ((ASIC,volume 482))

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Abstract

This lecture is a sequel to an earlier lecture entitled “Review of Finite-Rate Chemistry Models for Air Dissociation and Ionization,” which appears in this volume and is identified as reference 1 in the present lecture. In contrast to that lecture, which focused on the problem of modeling of vibration-dissociation coupling in a post-shock flow, this lecture examines mostly the modeling problems associated with cooling flows.

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Abbreviations

A:

An atomic species formed by dissociation

B:

An atomic species formed by dissociation

D:

Dissociation energy

ev :

Vibrational energy per unit mass

E:

Energy level

Ex :

Hidden energy per unit mass

H:

Enthalpy

k:

Boltzmann constant

Ki j :

Collisional transition rate coefficient for i to j transition m Molecule

M:

Second moment of transition rate coefficient

n:

Number density

N:

The number of internal states

p:

Pressure, pascal

t:

Time, sec

T:

Translational temperature, K

Tv :

Vibrational temperature, K

v:

Vibrational quantum number

V:

Flow velocity

ø:

Vibrational relaxation rate enhancement factor

p :

Population density normalized by equilibrium value

1:

First excited vibrational state

c:

Continuum (free) state

e:

Equilibrium

r:

Rotation

s:

Settling chamber

v:

Vibration

References

  1. Park, C. (1995) “Review of Finite-Rate Chemistry Models for Air Dissociation and Ionization,” Molecular Physics and Hypersonic Flow, edited by M. Capitelli, xxxx-xxxx.

    Google Scholar 

  2. Millikan, R. C., and White, D. R. (1963) “Systematics of Vibrational Relaxation,” Journal of Chemical Physics, 139, 3209–3213.

    Article  ADS  Google Scholar 

  3. Park, C. (1990) Nonequilibrium Hypersonic Aerothermodynamics, John Wiley, New York, N.Y.

    Google Scholar 

  4. Treanor, C. E., Rich, J. W., and Rehm, R. G. (1968) “Vibrational Relaxation of Anharmonic Oscillators with Exchange-Dominated Collisions,” Journal of Chemical Physics, 48, 1798–1807.

    Article  ADS  Google Scholar 

  5. Park, C. (1995) “Estimation of Excitation Energy of Diatomic Molecules in Expanding Nonequilibrium Flows,” Journal of Thermophysics and Heat Transfer, 9, 17–25.

    Article  Google Scholar 

  6. Park, H., and Slanger, T. G. (1994) “02(X,v=8–22) Quenching Rate Coefficients for 02 and N2, and 02(X) Vibrational Distribution from 248 mn 03 Photodissociation,” Journal of Chemical Physics, 100, 287–302.

    Article  ADS  Google Scholar 

  7. Hulre, I. R., Russo, A. L., and Hall, J. G. (1964) “Spectroscopic Studies of Vibrational Nonequilibrium in Supersonic Nozzle Flows,” Journal of Chemical Physics, 40, 2076–2089.

    Article  ADS  Google Scholar 

  8. Hurle, I. R. (1971) “Nonequilibrium Flows with Special Reference to The Nozzle-Flow Problem,” Proceedings of the 8th International Shock Tube Symposium, Chapman and Hall, London, 3/1–3/37.

    Google Scholar 

  9. von Rosenberg, C. W., Jr., Bray, K. N. C., and Pratt, N. H. (1971) “The Effect of Water Vapor on the Vibrational Relaxation of CO,” 13th Symposium (International) on Combustion, Combustion Institute, Pittsburgh, Pennsylvania, 89–98.

    Google Scholar 

  10. Blom, A. P., Bray, K. N. C., and Pratt, N. H. (1970) “Rapid Vibrational De-Excitation Influenced by Gasdynamic Coupling,” Astronautica Acta, 5, 487–494.

    Google Scholar 

  11. McLaren, T. I., and Appleton, J. P. (1970) “Vibrational Relaxation Measurement of Carbon Monoxide in a Shock-Tube Expansion Wave,” Journal of Chemical Physics, 53, 2850–2857.

    Article  ADS  Google Scholar 

  12. Gillespie, W. D., Bershader, D., Sharma, S. P., and Ruffin, S. (1993) “Raman Scattering Measurements of Vibrational and Rotational Distributions in Expanding Nitrogen,” AIAA Paper 93–0274.

    Google Scholar 

  13. MacDermott, W. N., and Marshall, J. G. (1969) “Nonequilibrium Nozzle Expansions of Partially Dissociated Air: A Comparison of Theory and Electron-Beam Experiments,” AEDC-TR-69–66.

    Google Scholar 

  14. Park, C., and Lee, S. H. (1995) “Validation of Multitemperature Nozzle Flow Code,” Journal of Thermophysics and Heat Transfere, 9, 9–16.

    Article  Google Scholar 

  15. Godiets, B. F., Osipov, V. A., and Shelepin, L. A. (1988) Kinetic Processes in Gases and Molecular Lasers, Gordon and Breach, London.

    Google Scholar 

  16. Ruffin, S. M. (1993) “Vibrational Energy Transfer of Diatomic Gases in Hypersonic Expanding Flows,” Ph.D. Thesis, Dept. of Aeronautics and Astronautics, Stanford University.

    Google Scholar 

  17. de Gavelle de Roany, A. C., Flament, C., Rich, J. W., Subramaniam, V. V., and Warren, W. R. (1993) “Strong Vibrational Nonequilibrium in Supersonic Nozzle Flows,” AIAA Journal, 31, 119–128.

    Article  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Aeronautics and Space Engineering, Tohoku University, Aoba-Ku, Sendai, 980, Japan

    C. Park

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  1. C. Park
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Editor information

Editors and Affiliations

  1. Department of Chemistry and Centro di Studio per la Chimica dei Plasmi del CNR, University of Bari, Bari, Italy

    Mario Capitelli

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© 1996 Kluwer Academic Publishers

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Park, C. (1996). Nonequilibrium Vibration-Dissociation Coupling in Hypersonic Flows. In: Capitelli, M. (eds) Molecular Physics and Hypersonic Flows. NATO ASI Series, vol 482. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0267-1_44

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  • DOI: https://doi.org/10.1007/978-94-009-0267-1_44

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6604-4

  • Online ISBN: 978-94-009-0267-1

  • eBook Packages: Springer Book Archive

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