Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-20T22:53:38.620Z Has data issue: false hasContentIssue false
  • English
  • Français

Domains and boundaries of non-stationary oblique shock-wave reflexions. 1. Diatomic gas

Published online by Cambridge University Press:  19 April 2006

G. Ben-Dor  and
I. I. Glass
G. Ben-Dor
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada M3H 5T6
I. I. Glass
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada M3H 5T6
Get access Rights & Permissions [Opens in a new window]

Abstract

Interferometric data were obtained in the UTIAS 10 × 18 cm hypervelocity shock tube of oblique shock-wave reflexions in nitrogen at initial temperatures and pressures of about 300 K and 15 torr. The shock-Mach-number range covered was 2 ≤ Ms ≤ 8 over a series of wedge angles 2° ≤ θw ≤ 60°. Dual-wavelength laser interferograms were obtained by using a 23 cm diameter field of view Mach-Zehnder interferometer. In addition to our numerous results the available data for nitrogen, air and oxygen obtained over the last three decades were also utilized. It is shown analytically and experimentally that in non-stationary flows seven domains exist in the (Ms, θw) plane where regular reflexion (RR), single-Mach reflexion (SMR), complex-Mach reflexion (CMR) and double-Mach reflexion (DMR) can occur. In addition, the transition boundaries between these regions were established. The experimental results from many sources substantiate the present analysis, and areas of disagreement which existed in the literature are now clarified and resolved. It is shown that real-gas effects have a significant influence on the size of the regions and their boundaries. The comprehensive, accurate and sensitive isopycnic data will form a base for comparing existing and future numerical analyses of such complex flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 92 , Issue 3 , 12 June 1979 , pp. 459 - 496
Copyright
© 1979 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

Auld, D. J. & Bird, G. A. 1976 A.I.A.A. Paper 76–322.
Bargmann, V. 1945 Nat. Res. Defence Committee. App. Math. Panel, no. 108. 2R.
Bazhenova, T. V., Fokeev, V. P. & Gvozdeva, L. G. 1976 Acta Astronautica, 3, 131.
Ben-Dor, G. 1978a UTIAS Rep. no. 232.
Ben-Dor, G. 1978b UTIAS Rep. no. 237.
Ben-Dor, G. & Glass, I. I. 1978 A.I.A.A. J. 16, 1146.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Fletcher, C. H. 1951 Dept Phys., Princeton Univ. Tech. Rep. II-4.
Fletcher, C. H. & Taub, A. H. 1951 Rev. Mod. Phys. 23, 271.
Glass, I. I. & Liu, W. S. 1978 J. Fluid Mech. 84, 55.
Glass, I. I., Liu, W. S. & Tang, F. C. 1977 Canadian J. Phys. 55, 1269.
Glass, I. I., Martin, W. A. & Patterson, G. N. 1953 UTIAS Rep., no. 2.
Glass, I. I. & Patterson, G. N. 1955 J. Aero. Sci. 22, 73.
Gvozdeva, L. G., Bazhenova, T. V., Predvoditeleva, O. A. & Fokeev, V. P. 1969 Acta Astronautica, 14, 503.
Gvozdeva, L. G., Bazhenova, T. V., Predvoditeleva, O. A. & Fokeev, V. P. 1970 Acta Astronautica, 15, 503.
Henderson, L. F. 1964 Aero. Quart. 15, 181.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Hornung, H. G. 1977 Private communication during visit to UTIAS.
Hornung, H. G., Oertel, H. & Sandeman, R. J. 1979 J. Fluid Mech. 90, 541.
Jones, D. M., Martin, P. M. E. & Thornhill, C. K. 1951 Proc. Roy. Soc. A 209, 238.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 534.
Kutler, P. & Shankar, V. 1977 A.I.A.A. J. 5, 197.
Law, C. K. 1970 UTIAS Tech. Note, no. 150.
Law, C. K. & Glass, I. I. 1971 CASI Trans. 4, 2.
Liepmann, H. W. & Roshko, A. 1957 Elements of Gasdynamics. Wiley.
Liu, W. S., Whitten, B. T. & Glass, I. I. 1978 J. Fluid Mech. 87, 609.
Mach, E. 1978 Akad. Wiss. Wien 77, II, 1228.
Molder, S. 1960 UTIAS Tech. Note, no. 38.
Molder, S. 1976–1978 Private communication.
Molder, S. 1979 CASI Trans. (to be published).
Neumann, J. VON 1963 Collected Works, vol. 6. Pergamon Press.
Parks, E. K. 1952 UTIAS Rep., no. 18.
Schneyer, G. P. 1975 Phys. Fluids 18, 000.
Seeger, R. J. & Polachek, H. 1943 Navy Dept Bureau of Ordnance, Re. 2c, Washington, D.C. Explosive Res. Rep. 13.
Semenov, A. H., Syshchikova, M. P. & Berezkina, M. K. 1970 Sov. Phys. Tech. Phys. 15, 795.
Shankar, V., Kutler, P. & Anderson, O. 1977 A.I.A.A. J. 16, 4.
Smith, L. G. 1945 Photographic investigation of the reflection of plane shocks in air. Photographic investigation of the reflection of plane shocks in air.Rep. 6271.Google Scholar
Taub, A. H. 1947 Phys. Rev. 72, 51.
White, D. R. 1951 Dept Phys., Princeton Univ. Tech. Rep. II-10.
White, D. R. 1952 Proc. 2nd Midwestern Conf. Fluid Mech.