Skip to main content
Log in

Shock compression of simple molecules

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

A simple approach is developed to calculate shock compression of simple molecules. This approach is based upon an accurate analytic representation of the Lennard-Jones fluids in conjunction with the Enskog theory, which is used to calculate the molecular diameter as a function of temperature along the Hugoniot. The model permits rapid, yet reliable calculations. It is applied to N2, O2, H2, D2, CH4, CO, and CO2. The results are tested by the comparison with experimental data and with other calculations. The computed Hugoniots agree reasonably with experimental results for many (but not all) simple molecules and are comparable to those of more complicated models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. L. Mader,Numerical Modeling of Detonations (University of California Press, Berkeley, 1979).

    Google Scholar 

  2. V. N. Zubarev and G. S. Telegin,Sov. Phys. Dokl. 7:34 (1962).

    Google Scholar 

  3. W. J. Nellis and A. C. Mitchell,J. Chem. Phys. 73:6137 (1980).

    Google Scholar 

  4. W. J. Nellis, F. H. Ree, M. Van Thiel, and C. Mitchell,J. Chem. Phys. 75:3055 (1981).

    Google Scholar 

  5. W. J. Nellis, J. C. Mitchell, M. Van Thiel, G. J. Devine, and R. J. Trainor,J. Chem. Phys. 79:1480 (1983).

    Google Scholar 

  6. M. Ross,J. Chem. Phys. 60:3634 (1974).

    Google Scholar 

  7. M. Ross,J. Chem. Phys. 73:4445 (1980).

    Google Scholar 

  8. G. I. Kerley and J. Abdallah, Jr.,J. Chem. Phys. 73:5337 (1980).

    Google Scholar 

  9. M. Ross and F. H. Ree,J. Chem. Phys. 73:6146 (1980).

    Google Scholar 

  10. D. A. Young and M. Ross,J. Chem. Phys. 74:6950 (1981).

    Google Scholar 

  11. W. J. Nellis, M. Ross, A. C. Mitchell, and M. Van Thiel,Phys. Rev. A 27:608 (1983).

    Google Scholar 

  12. M. Ross, F. H. Ree, and D. A. Young,J. Chem. Phys. 73:1487 (1983).

    Google Scholar 

  13. D. Henderson and P. J. Leonard, inPhysical Chemistry—An Advanced Treatise, Vol. 8 (1971), 413.

    Google Scholar 

  14. J. Hansen,Phys. Rev. A 2:221 (1970).

    Google Scholar 

  15. F. H. Ree,J. Chem. Phys. 73:5401 (1980).

    Google Scholar 

  16. M. S. Abdelazim and W. G. Hoover,J. Phys. Chem. 87:2795 (1983).

    Google Scholar 

  17. M. S. Abdelazim, inProceeding of the 10th International Colloquium on Dynamics of Explosives and Reactives Systems, Berkeley, August 4–9, 1985, in press.

  18. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird,Molecular Theory of Gases and Liquids (Wiley, New York, 1964).

    Google Scholar 

  19. D. A. McQuarrie,Statistical Mechanics (Harper & Row, New York, 1976).

    Google Scholar 

  20. L. Haar and S. H. Shenker,J. Chem. Phys. 55:4951 (1971).

    Google Scholar 

  21. J. D. Johnson, M. S. Show, and B. L. Holian,J. Chem. Phys. 80:1279 (1984).

    Google Scholar 

  22. F. H. Ree,J. Chem. Phys. 81:1251 (1984).

    Google Scholar 

  23. A. G. Gaydon,Dissociation Energies and Spectra of Diatomic Molecules (Chapman and Hall, 1953).

  24. I. M. Voskonoinikov, M. F. Gogula, and Yu. A. Dolgoborodov,Sov. Phys. Dokl. 24:375 (1979).

    Google Scholar 

  25. M. Ross,J. Chem. Phys. 71:1567 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdelazim, M.S. Shock compression of simple molecules. J Stat Phys 46, 635–658 (1987). https://doi.org/10.1007/BF01013378

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01013378

Key words

Navigation