Non-self-similar characteristics of weak Mach reflection: The von Neumann paradox

Fluid Dynamics Research

Volumn 35, Issue 4, 2004, Pages 275-286

  Kobayashi, Susumu ^a   Adachi, Takashi ^a   Suzuki, Tateyuki ^b  

^a SAITAMA INSTITUTE OF TECHNOLOGY   (Japan)

^b TOYAMA PREFECTURAL UNIVERSITY   (Japan)

Author keywords

Non self similarity; Reflection phenomena; Shock waves; Von Neumann paradox

Indexed keywords

CRACK PROPAGATION; FLOW PATTERNS; REFLECTION; SHOCK TUBES; SHOCK WAVES;

FLOW-FIELD; REFLECTING WEDGE ANGLE; SUPERSONIC GAS DYNAMICS;

GAS DYNAMICS;

FLUID DYNAMICS; GAS FLOW; SUPERSONIC FLOW;

EID: 4544364609     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2004.05.004     Document Type: Article

References (30)

1. T. Adachi A. Sakurai S. Kobayashi Effects of boundary layer on Mach reflection over a wedge surface Shock Waves 11 2002 271-278
2. Adachi T. Kobayashi S. 2002b Transition from RR to MR for non-stationary shock reflection over a wedge In: The 15th International Mach Reflection Symposium, Book of Abstracts p. 7
3. Adachi T. Kobayashi S. 2003 Unsteady behavior of wave configuration of a strong shock reflection over a wedge In: Symposium on ShockWaves in Japan, Book of Abstracts 433-434
4. G. Ben-Dor G. Mazor K. Takayama O. Igra Influence of surface roughness on the transition from regular to Mach reflection in pseudo-steady flows J. Fluid Mech. 176 1987 333-356
5. Ben-Dor G. Mazor G. Takayama K. Igra O. 1987 Influence of surface roughness on the transition from regular to Mach reflection in pseudo-steady flows J. Fluid Mech. 176 333-356
6. Birkhoff G. 1950 Hydrodynamics, A Study in Logic and Similitude Princeton University Press, Princeton, NJ p. 24
7. W. Bleakney A.H. Taub Interaction of shock waves Rev. Mod. Phys. 21 1949 584-605
8. Dewey J.M. van Netten A.A. 1996 Non-self-similarity of the initial stage of Mach reflection In: Proceedings of 20th International Symposium on ShockWaves 399-404
9. J.M. Dewey A.A. van Netten Non-self-similarity of the initial stage of Mach reflection Proc. 20th Int. Symp. Shock Waves 1996 399-404
10. L.F. Henderson A. Siegenthaler Experiments on the diffraction of weak blast waves: the von Neumann paradox Proc. R. Soc. London, Ser A 369 1980 537-555
11. L.F. Henderson W.Y. Crutchfield R.J. Virgona The effects of thermal conductivity and viscosity of argon on shock waves diffracting over rigid ramps J. Fluid Mech. 331 1997 1-36
12. L.F. Henderson K. Takayama W.Y. Crutchfield S. Itabashi The persistence of regular reflection during strong shock diffraction over rigid ramps J. Fluid Mech. 431 2001 273-296
13. H. Hornung The effect of viscosity on the Mach stem length in unsteady strong shock reflection. Lecture Notes in Physics Vol. 235 1985 Springer Berlin, New York 82-91
14. Hornung H. 1985 The effect of viscosity on the Mach stem length in unsteady strong shock reflection Lecture Notes in Physics Vol. 235 Springer, Berlin, NewYork 82-91
15. S. Itabashi L.F. Henderson W.Y. Crutchfield K. Takayama Effects of viscous and thermal dissipation on the eruption of Mach reflection on rigid steel ramps Proceedings of the 21st International Symposium Shock Waves 1997 887-891
16. R. Kawamura H. Saito Reflection of shock waves - 1. Pseudo-stationary case J. Phys. Soc. Japan 11 1956 584-592
17. S. Kobayashi T. Adachi Unsteady behavior in the transition phenomenon of shock reflection J. Japan Soc. Fluid Mech. 18 1999 387-390
18. S. Kobayashi T. Adachi T. Suzuki Examination of the von Neumann paradox for a weak shock wave Fluid Dyn. Res. 17 1995 13-25
19. S. Kobayashi T. Adachi M. Satoh T. Suzuki On the formation mechanism of von Neumann reflection Proceedings of the 21st International Symposium on Shock Waves 1997 881-885
20. Kobayashi S. Adachi T. Suzuki T. 1998 Non-selfsimilar behavior of the von Neumann reflection: an approach with a method of multiple steps In: Proceedings of the 9th International Symposium Flow Visualization (CD-ROM, ISBN 0 9533991 0 9) paper no. 173
21. S. Kobayashi T. Adachi T. Suzuki Non-self-similar behavior of the von Neumann reflection Phys. Fluids 12 2000 1869-1877
22. S. Kobayashi T. Adachi T. Suzuki On the unsteady transition phenomena of weak shock waves Theor. Appl. Mech. 49 2000 271-278
23. S. Kobayashi K. Debatin H. Oertel Jr. T. Adachi Non-selfsimilar nature of Mach reflection over a flat smooth slope Proceedings of the 23rd International Symposium on Shock Waves 2002 1262-1267
24. A. Sakurai On the problem of weak Mach reflection J. Phys. Soc. Japan 19 1964 1440-1450
25. A. Sakurai L.F. Henderson K. Takayama Z. Walenta P. Colella On the von Neumann paradox of weak Mach reflection Fluid Dyn. Res. 4 1989 333-345
26. B.W. Skews The flow in the vicinity of a three-shock intersection Can. Aeronaut. Space Inst. Trans. 4 1971 99-107
27. Smith L.G. 1945 Photographic investigation of the reflection of plane shocks in air OSRD Report 6271,Washington, USA
28. von Neumann J. 1943 Oblique reflection of shocks Bureau of Ordinance, Explosives Research Report 12, Washington, USA
29. Z.A. Walenta Formation of the Mach-type reflection of shock waves Arch. Mech. 35 1983 187-196
30. Z.A. Walenta Mach reflection of a moving plane shock, wave under rarefied flow conditions Proceedings of the 16th International Symposium on Shock Waves 1987 535-541