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On the Piston Motion of a Free-Piston Shock Tube

Published online by Cambridge University Press:  07 June 2016

Tzy C. Peng
Affiliation:
General Motors Defense Research Laboratories, Santa Barbara, California
Theo. F. Elbert
Affiliation:
General Motors Defense Research Laboratories, Santa Barbara, California
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Summary

The motion of a solid piston between the driver and test gases in a closed shock tube is studied. In particular, the piston stopping distance, i.e. the total length required to bring the piston to a stop, is calculated for various experimental conditions. Before the stop, the moving piston compresses the test gas, at first with its induced shock and then further with its own kinetic energy through the successive shock reflections. Thus, the moving piston can produce a reservoir of compressed gas with higher enthalpy than a shock of similar strength without the piston. Normal shock-wave theory for an ideal gas is used until the first reflected shock meets the piston. The subsequent shock reflections are approximated by a continuous compression in thermodynamic equilibrium. The calculated values for the piston stopping distance are found to compare favourably with the available experimental data, indicating that the approximations used are reasonable. Peak pressure and temperature of the compressed test gas are computed, and the effect of bleeding the gas reservoir through a nozzle is also included.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1965

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References

1. Eggers, A. J., Hansen, C. F. and Cunningham, B. E. Theoretical and Experimental Investigation of the Effect of Yaw on Heat Transfer to Circular Cylinders in Hypersonic Flow. N.A.C.A. RMA55E02, July 1955.Google Scholar
2. East, R. A. and Pennelegion, L. The Equilibrium Piston Technique for Gun Tunnel Operation. A.R.C. 22,852, April 1961.Google Scholar
3. Pennelegion, L. Microwave Interferometry Studies in Free Piston Gun Tunnels. A.R.C. 23,335.Google Scholar
4. Bray, K. N. C., Pennelegion, L. and East, R. A. Performance Studies for the University of Southampton Hypersonic Gun Tunnel. Colston Research Society, 11th Symposium, University of Bristol. (Edited by Collar, A. R. and Tinkler, J..) April 1959.Google Scholar
5. Pennelegion, L. A Microwave Method of Determining the Displacement and Velocity of a Piston in a Hypersonic Gun Tunnel. Nature, Vol. 183, p. 246, 24th January 1959.CrossRefGoogle Scholar
6. Stalker, R. J. Rebound of a High Speed Piston by Gas Compression in a Closed Tube. National Research Council of Canada, Report No. 6622, March 1961.Google Scholar
7. Cox, R. N. and Winter, D. F. T. The Light Gas Hypersonic Gun Tunnel at A.R.D.E., Fort Halstead. AGARD Report 139, July 1957.Google Scholar
8. Winter, D. F. T. Multiple Shock Compression Using a Piston of Finite Weight. Journal of Fluid Mechanics, Vol. 8, p. 264, 1960.CrossRefGoogle Scholar
9. Stollery, J. L., Maull, D. J. and Belcher, B. J. The Imperial College Hypersonic Gun Tunnel, August 1958-July 1959. Journal of the Royal Aeronautical Society, Vol. 64, p. 24, January 1960.Google Scholar
10. Belcher, B. J. Measurements of the Effects of Piston Mass and Bursting Pressure on the Motion of a Piston in a Hypersonic Gun Tunnel. Nature, Vol. 184, p. 1207, 17th October 1959.Google Scholar
11. Roffe, G. A. The Free-Piston Shock Tube Driver: A Preliminary Theoretical Study. Technical Report No. 32-560, Jet Propulsion Laboratory, California Institute of Technology, December 1963.Google Scholar
12. Lemcke, B. An Investigation of the Performance of a Compression Heater for Use with Gun Tunnels or Hypervelocity Launchers. Massachusetts Institute of Technology, A.S. R.L. Report No. 1010, March 1963.Google Scholar
13. Stalker, R. J. An Investigation of Free Piston Compression of Shock Tube Driver Gas. National Research Council of Canada, Report MT-44, May 1961.Google Scholar
14. Uebbing, J. Development of a High Energy Free-Piston Molecular-Beam Source. P63205 Addendum, GM Defense Research Laboratories, September 1963.Google Scholar
15. Peng, T. C. and Elbert, T. F. On the Problem of Stopping the Piston in a Free-Piston Shock-Tube. GM Defense Research Laboratories, Report TR 64-30, May 1964.Google Scholar
16. Lemcke, B. An Investigation of Stagnation Conditions in the Shock-Compression Heater of a Gun Tunnel. F.F.A. (Sweden) Report 90, 1962.Google Scholar
17. Ahtye, W. F. and Peng, T. C. Approximations for the Thermo-Dynamic and Transport Properties of High-Temperature Nitrogen with Shock Tube Applications. N.A.S.A. T.N. D-1303, July 1962.Google Scholar