Hostname: page-component-6bb9c88b65-s7dlb Total loading time: 0 Render date: 2025-07-23T15:06:29.581Z Has data issue: false hasContentIssue false
  • English
  • Français

Influence of surface roughness on the transition from regular to Mach reflection in pseudo-steady flows

Published online by Cambridge University Press:  21 April 2006

G. Ben-Dor ,
G. Mazor ,
K. Takayama  and
O. Igra
G. Ben-Dor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
G. Mazor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
K. Takayama
Affiliation:
Institute of High Speed Mechanics, Tohoku University, Sendai Japan
O. Igra
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of surface roughness on the transition form regualr (RR) to Mach reflection (MR) over straight wedges in pseudo-steady flows was investigated both experimentally and analytically. A model for predicting the RR \rightleftarrows$ MR transition in the (Mi, θw)-plane was developed (Mi is the incident shock wave Mach number and θw is the reflecting wedge angle). Its valdity was checked agnainst experimental results. Since the experimental results are limited to the ranges 1 < Mi < 2 and surface roughness heights of 0 < ε [les ] 0.2 cm, the proposed model is applicalbe to these ranges only. In the proposed model (the boundary-layer displacement-thickness model), the RR \rightleftarrows$ MR transition is related to the boundary - layer thickness which in turn depneds on the surface roughness.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 333 - 356
Copyright
© 1987 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.)

Article purchase

Temporarily unavailable

References

Bartz, D. R. 1955 Trans. ASME 77, 1235.
Ben-Dor, G. 1978 UTIAS Rep. 232. University of Toronto, Toronto, Canada.
Ben-Dor, G. & Glass, I. I. 1979 J. Fluid Mech. 92, 459.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Eckert, E. R. G. 1954 Tech. Rep. 54–70. Aero. Res. Lab., Wright Air Dev. Ctr., Wright Patterson A.F. Base, USA.
Fletcher, C. H. 1950 Tech. Rep. II-4. Dept. of Physics, Princeton University, NJ, USA.
Glass, I. I. & Hall, J. G. 1959 Handbook of Supersonic Aerodynamics. Sec. 18, Shock Tubes, NAVORD Rep. 1488, Vol. 6.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Henderson, L. F. & Woolmington, J. P. 1983 Shock Tubes and Waves (ed. R. D. Archer & B. E. Milton), p. 160. New South Wales University Press.
Hornung, H. G. & Taylor, J. R. 1982 J. Fluid Mech. 123, 145.
Hopf, L. 1923 Z. angew. Math. Mech. 3, 329.
Law, C. K. 1970 UTIAS TN No. 150. University of Toronto, Toronto, Canada.
Martin, W. A. 1957 UTIAS Rep. 47. University of Toronto, Toronto, Canada.
Mazor, G. 1984 Surface roughness effect on the transition from regular to Mach reflection in pseudo-steady flows. M.Sc. thesis. Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel.
Mazor, G., Ben-Dor, G. & Igra, O. 1985 AIAA J. 23, 636.
Mirels, H. 1956 NACA TN 3712.
Neumann, J. von 1943 Explosive Res. Rep. 12. Department of the Navy, Bureau of Ordnance, Washington, DC, USA.
Neumann, J. von 1963 Collected Works, Vol. 6. Pergamon.
Nikuradse, J. 1933 Forschungsheft 361.
Prandtl, L. 1925 Z. angew. Math. Mech. 5, 136, Proc. 2nd Intl Cong. Appl. Mech., Zurich (1926).
Reichenbach, H. 1985 The 5th Mach Reflection Symp., Menlo Park, California, USA, 22–25 July.
Schlichting, H. 1962 Boundary Layer Theory, 4th edn, pp. 475–563. McGraw-Hill.
Shames, I. H. 1982 Mechanics of Fluids, 2nd edn, pp. 257–426. McGraw-Hill.
Shirouzu, M. & Glass, I. I. 1982 UTIAS Rep. 264, University of Toronto, Toronto, Canada.
Smith, L. G. 1945 OSRD Rep. 6271 or (NORC Rep. A2350.)
Takayama, K., Ben-Dor, G. & Gotoh, J. 1981 AIAA J. 19, 1238.
Taub, A. H. 1947 Rev. Mod. Phys. 21, 51.
Tucker, M. 1951 NACA TN 2337.
White, D. R. 1951 Tech. Rep. II-10, Department of Physics, Princeton University, NJ, USA.