Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-25T05:08:41.128Z Has data issue: false hasContentIssue false

The formation of shock waves in a dense gas using a molecular-dynamics type technique

Published online by Cambridge University Press:  29 March 2006

A. K. Macpherson
Affiliation:
Department of Mechanical Engineering University of Manitoba Winnipeg 19, Manitoba, Canada

Abstract

The formation of shock waves in. dense argon is studied using a numerical technique related to the molecular-dynamics approach. The kinetic and total pressures, density, temperature and mass velocity are calculated when a simulated tungsten piston is driven into the stationary gas. It is found that the pressure generated is similar to that found using binary collision assumptions, however the temperature is lower and the density much higher than under more rarefied conditions. Results are also given for the same experiments when the generating piston is composed of dense argon atoms. It is shown that the results are almost independent of the type of piston material and that the shock structure is a function of the gas interparticle force law only. The reflexion of a spherically imploding shock wave in dense argon is also examined and it is found that the shock wave reflects before reaching the centre due to high tangential stresses. Some data is also given, upon the velocity distribution and wall pressure fluctuations.

Type
Research Article
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

Bird, G. A. 1967 J. Fluid Mech. 30, 479.
Bird, G. A. 1969 In Rarefied Gasdynamics Symposium, p. 301 (ed. L. Trilling & H. Y. Wachman). New York: Academic.
Chapman, S. & Cowling, T. G. 1968 The Mathematical Theory of Non-Uniform Gases. Cambridge University Press.
Devanathan, C. & Bhatnagar, P. L. 1969 Proc. Roy. Soc. A, 309, 245.
Glass, I. I. 1967 Can. Aero. and Space J. 13, 8, 9.
Jackson, D. P. & French, J. B. 1969 In Rarefied Gasdynamics Symposium, Vol. II, p. 1119 (ed. L. Trilling & H. Y. Wachman). New York: Academic.
Jeans, J. 1952 An Introduction to the Kinetic Theory of Gases. Cambridge University Press.
Lee, J. F., Sears, F. W. & Turcotte, D. L. 1963 Statistical Thermodynamics. Reading, Mass: Addison-Wesley.
Lennard-Jones, J. E. & Devonshire, A. F. 1937 Proc. Roy. Soc. A, 163, 54.
Macpherson, A. K. 1969 J. Fluid Mech. 39, 849.
Macpherson, A. K. 1970 Proc. Seventh Int. Shock Tube Symposium. University of Toronto Press (in the Press).
Rahman, A. 1964 Phys. Rev. 136, A 405.
Steele, W. A. & Halsey, G. D. 1955 J. Phys. Chem. 59, 57.