Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-18T23:31:28.115Z Has data issue: false hasContentIssue false
  • English
  • Français

Supersonic flow investigations with a “hydraulic analogy” water channel

Published online by Cambridge University Press:  07 June 2016

Joseph Black  and
O. P. Mediratta
Joseph Black
Affiliation:
Department of Aeronautical Engineering, University of Bristol
O. P. Mediratta
Affiliation:
Department of Aeronautical Engineering, University of Bristol
Get access

Summmary

This paper describes the construction of a water channel in the University of Bristol for the investigation of the analogy between the two-dimensional flow of a gas and that of shallow water with a free surface. Both continuous and discontinuous flow were examined, with a view to determining the limitations of the analogy.

Continuous “ shooting “ water flow was found to be reasonably analogous with supersonic isentropic gas flow, a static depth of about half an inch appearing to be satisfactory with this particular channel. No independent check was made of the agreement, or otherwise, between “streaming” water flow and subsonic gas flow, since the method of checking used was the measurement of the angle of the waves formed on the water surface, and such waves exist only in “ shooting” flow.

Type
Research Article
Information
Aeronautical Quarterly , Volume 2 , Issue 4 , February 1951 , pp. 227 - 253
Copyright
Copyright © Royal Aeronautical Society. 1951

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. Mach, E. (1887). Photography of Projectile Phenomena in Air. Sitzungberichte der Wiener Akademie, p. 164, Vol. 95, 1887.Google Scholar
2. Jouguet, E. (1920). Some Problems in General Hydrodynamics. Journal de Mathématiques Pures et Appliquées (Series 8), Vol. 3.1., 1920.Google Scholar
3.. Riabouchinsky, D. (1932). On the Hydraulic Analogy to Flow of a Compressible Fluid. Comptes Rendus de l'Academie des Sciences, p. 998, Vol. 195, 1932. (1934). Some New Remarks on the Hydraulic Analogy. Comptes Rendus de l'Academie des Sciences, p. 632, Vol, 199, 1934.Google Scholar
4. Binnie, A. M. and Hooker, S. G. (1937). The Flow under Gravity of an Incompressible and Inviscid Fluid through a Constriction in a Horizontal Channel. Proc. Roy. Soc., p. 592, Vol. 159, 1937.Google Scholar
5. Preiswerk, E. (1938). Application of the Methods of Gas Dynamics to Water Flows, with a Free Surface. Mitteilungen der Institut für Aerodynamik, No. 7, E.T.H. Zürich, 1938. Translated as N.A.C.A. T.N. 934, 935, 1940.Google Scholar
6. Preiswerk, E. (1939). Some Applications of the Method of Hydraulic Analogy. Publications Scientifiques et Techniques du Ministère de l'Air, pp. 43–77, No, 144, 1939.Google Scholar
7. Preiswerk, E. (1942). Brown-Boveri Revue, Vol. 29, No. 1-3, p. 77, Jan.-March 1942.Google Scholar
8. Orlin, W. J., Lindner, N. J. and Bitterly, J. G. (1947). Application of the Analogy between Water Flow with a Free Surface and Two-Dimensional Compressible Gas Flow. N.A.C.A. T.N. 1185, 1947, and also Report 875.Google Scholar
9. Matthews, C. W. (1950). The Design, Operation and Uses of the Water Channel as an Instrument for the Investigation of Compressible Flow Phenomena. N.A.C.A. T.N. 2008, 1950.Google Scholar
10. Teofilato, S. (1949). A Contribution to the Study of Similarity between Hydro and Gas Dynamics. Monografie Scientifiche di Aeronautica (4) January, 1949. Teofilato, P. (1949). Monografie Scientifiche di Aeronautica (5) 1947, (9) 1948, (10) 1949.Google Scholar
11. Gilmore, F. R., Plesset, M. S. and Crossley, H. E. (1950). The Analogy between Hydraulic Jumps in Liquids and Shock Waves in Gases. Journal of Applied Physics, pp. 243–249, Vol. 21, March 1950.CrossRefGoogle Scholar
12. Bershader, D. (1949). Interferometric Study of Supersonic Channel Flow. Review of Scientific Instruments, p. 266, Vol. 20, April 1949.Google Scholar
13. Havelock, T. H. (1908). Propagation of Groups of Waves in Dispersive Media. Proc. Roy. Soc. A. 81, pp. 398–430, 1908.Google Scholar
14. Lamb, H. (1932). Hydrodynamics. Cambridge University Press, 6th Ed., Chap. IX, 1932.Google Scholar
15. Bakhmeteff, B. A. and Matzke, A. (1935). The Hydraulic Jump in terms of Dynamic Similarity. Transactions of the American Society of Civil Engineers, pp. 630–680, Vol. 101, February 1935.Google Scholar
16. Courant, R. and Friedrichs, K. O. (1949). Supersonic Flow and Shock Waves. Inter-science Publishers, 1st Ed., pp. 387–392, 1949.Google Scholar
17. Ferri, A. (1949). Elements of Aerodynamics of Supersonic Flows. Macmillan & Co., Chap. 8, 1949.Google Scholar
18. Liepmann, H. W. and Bryson, A. E. (1950). Transonic Flow Past Wedge Sections. Journal of the Aeronautical Sciences, p. 750, Vol. 17, No. 12, December 1950.Google Scholar
19. Bardsley, O. and Mair, W. A. (1951). The Interaction Between an Oblique Shock Wave and a Turbulent Boundary Layer. Phil. Mag., Series 7, January 1951, Figure 10, p. 33.Google Scholar