Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-24T17:03:38.667Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of a Continuous Area Convergence on the Motion of a Shock Wave

Published online by Cambridge University Press:  07 June 2016

P. L. Wilcox
P. L. Wilcox*
Affiliation:
Department of the Mechanics of Fluids, University of Manchester
Get access

Summary

The transient motion of a shock wave is investigated during its passage through ducts containing various area convergences. The method of characteristics has been used to follow the unsteady motion of the shock wave in an inviscid, non-conducting gas. The strength of the shock is taken to be large enough so that initially both sets of characteristics face downstream. The results are found to be in good agreement with unsteady and quasi-steady theories. A comparison is made between the characteristics results and experimental results obtained in a 1 ft (0·305 m) diameter shock tube. This shock tube incorporates a 3·75:1 linear area change in the low pressure section length. Good agreement is found between experiment and theory. A comparison is also made with other experimental work.

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 3 , August 1969 , pp. 248 - 258
Copyright
Copyright © Royal Aeronautical Society. 1969

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

1. Chester, W. The quasi-cylindrical shock tube, Phil. Mag., Vol. 45, No. 7 pp. 1293–1301, 1954.Google Scholar
2. Chisnell, R. F. The motion of a shock wave in a channel. Journal of Fluid Mechanics; Vol. 2, pp. 286–298, 1957.Google Scholar
3. Whitham, G. B. On the propagation of shock waves through regions of non-uniform flow. Journal of Fluid Mechanics, Vol. 4, pp. 337–360, 1958.Google Scholar
4. Wilcox, P. L. Ph.D. Thesis, University of Manchester, 1967.Google Scholar
5. Laporte, O. On the interaction of a shock with a constriction. University of California Report LA-1740, 1955.Google Scholar
6. Chester, W. The propagation of shock waves along ducts of varying cross-section. Advances in Applied Mechanics, Vol. 6, pp. 119–152, Academic Press, New York, 1960.Google Scholar
7. Friedman, M. P. An improved perturbation theory for shock waves propagating through non-uniform regions. Journal of Fluid Mechanics, Vol. 8, pp. 193–209, 1960.Google Scholar
8. Bernstein, L. Some measurements of shock wave attenuation in channels of various cross-section. ARC R & M 3321, 1963.Google Scholar
9. Russell, D. A. Shock wave strengthening by area convergence. Journal of Fluid Mechanics, Vol. 27, pp. 305–314, 1967.Google Scholar