Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-26T08:14:46.379Z Has data issue: false hasContentIssue false
  • English
  • Français

Rotational temperature profiles of shock waves in diatomic gases

Published online by Cambridge University Press:  29 March 2006

A. K. Macpherson
A. K. Macpherson
Affiliation:
Department of Mechanical Engineering, University of Manitoba, Winnipeg 19, Canada Present address: Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015.
Get access Rights & Permissions [Opens in a new window]

Abstract

The variation of the translational temperature, rotational temperature, and density through shock waves in oxygen and nitrogen was studied using classical laws of mechanics and a Monte Carlo scheme. The collision dynamics were calculated using an intermolecular potential by Parker with both a two-dimensional approximation and the full three-dimensional calculations. The rotational velocity frequency distributions were also calculated. The average number of collisions a molecule will experience a t various stages passing through a shock wave were found and plotted with the temperature and density profiles. The nitrogen results were compared with experimental results and good agreement was found. This also provided a method for giving a first approximation to the three-dimensional intermolecular potential.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 2 , 29 September 1971 , pp. 337 - 351
Copyright
© 1971 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Camac, M. 1966 Rarefied Gas Dynamics (ed. J. H. de Leeuw). New York: Academic.
Curtiss, C. F. 1956 J. Chem. Phys. 24, 225.
Denisik, S. A., Malama, Yu. G., Polak, L. S. & Rezanov, R. A. 1967 Teplofizika Vysolikh Temperatur, 5, 1011.
Lordi, J. A. & Mates, R. E. 1970 Phys. Fluids, 13, 291.
Macpherson, A. K. 1969 J. Fluid Mech. 39, 849.
Marrone, P. V. 1967 Phys. Fluids, 5, 80.
Muntz, E. P. 1962 Phys. Fluids, 5, 80.
Parker, J. G. 1959 Phys. Fluids, 2, 449.
Ralston, W. 1960 Mathematical Methods for Digital Computers. New York: Wiley.
Robben, F. & Talbot, L. 1966a Phys. Fluids, 9, 633.
Robben, F. & Talbot, L. 1966b Phys. Fluids, 9, 653.
Talbot, L. & Scala, S. C. 1961 Rarefield Gas Dynamics (ed. L. Talbot). New York
Taxman, N. 1958 Phys. Rev. 110, 1235.
Wang Chang, C. S., Uhlenbeck, G. E. & De Boer 1964 Studies in Statistical Mechanics. Amsterdam: North-Holland.
Wang Chang, C.S., Uhlenbeck, G.E. & Taxman, N. 1961 Michigan University Engineering Research Institute Rep. no. cm-681.