Thickness and volume measurements of a Richtmyer-Meshkov instability-induced mixing zone in a square shock tube

Journal of Fluid Mechanics

Volumn 349, Issue , 1997, Pages 67-94

  Jourdan, G ^a   Houas, L ^a   Haas, J F ^b   Ben Dor, G ^c  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b DIF   (France)

^c BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; LASER APPLICATIONS; MIXING; SHOCK TUBES; SHOCK WAVES; STABILITY; THICKNESS MEASUREMENT; VOLUME MEASUREMENT;

RICHTMYER MESHKOV INSTABILITY MIXING ZONE; THREE DIRECTIONAL LASER ABSORPTION TECHNIQUE;

PIPE FLOW;

EID: 0031248397     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097006563     Document Type: Article

References (48)

1. ABAKUMOV, A. I., MESHKOV, E. E., NIZOVTSEV, P. N., NIKIFOROV, V. V. & ROGACHOV, V. G. 1993 Turbulent mixing zone development in shock tube experiments with thin film separation. In Proc. 19th Intl Symp. on Shock Waves, vol. IV, pp. 223-226. Marseille.
2. ABAKUMOV, A. I., MESHKOV, E. E., NIZOVTSEV, P. N., NIKIFOROV, V. V. SADIKOV, N. P., TILKUNOV, V. A., TOLSHMYAKOV, A. I. TOCHILIN, V. O. & KHOLKIN, S. I. 1995a Shock tube experiments: Film effects on the turbulent mixing zone development. In Proc. 5th Intl Workshop on the Physics of Compressible Turbulent Mixing, pp. 118-123. Stony Brook (NY).
3. ABAKUMOV, A. I., GERASIMOV, S. I., MESHKOV, E. E., NIZOVTSEV, P. N., NIKIFOROV, V. V., TOCHILIN, V. O. & KHOLKIN, S. I. 1995b Investigations of setup influence to turbulent mixing zone development in shock tube experiments. Sci. Rep. Contract CEA Vaujours-Moronvilliers/VNIIEF Sarov.
4. ALON, U., HECHT, J., OFER, D. & SHVARTS, D. 1995 Power laws and similarity of Rayleigh-Taylor and Richtmyer-Meshkov mixing fronts and all density ratios. Phys. Rev. Lett. 78, 534-537.
5. ANDRONOV, V. A., BAKHRAKH, S. M., MESHKOV, E. E., MOKHOV, V. N., NIKIFOROV, V. V., PEVNITSKII, A. V. & TOLSHMYAKOV, A. I. 1976 Turbulent mixing at contact surface accelerated by shock waves. Sov. Phys. JETP 44, 424-427.
6. BARENBLATT, G. I. 1983 Self-similar turbulence propagation from an instantaneous plane source. Non linear Dynamics and Turbulence (ed. G. I. Barenblatt, G. Loos & D. D. Joseph). Pitman.
7. BENJAMIN, R. F. 1991 Shock and reshock of an unstable fluid interface. In Proc. 3rd Intl Workshop on the Physics of Compressible Turbulent Mixing, pp. 325-330. Abbey of Royaumont, France.
8. BIRD, G. A. 1957 A note on multiple diaphragm shock tubes. British Crown Copyright, Britanic Majesty London.
9. BONAZZA, R. & STURTEVANT, B. 1993 X-ray measurements of shock-induced mixing at an air/Xe interface. In Proc. 4th Intl Workshop on the Physics of Compressible Turbulent Mixing, pp. 194-200. Cambridge.
10. BROUILLETTE, M. 1989 On the interaction of shock waves with contact surfaces between gases of different densities. PhD thesis, California Institute of Technology, Pasadena.
11. BROUILLETTE, M. & STURTEVANT, B. 1993 Experiments on the Richtmyer-Meshkov instability: Small-scale perturbations on a plane interface. Phys. Fluids A 5, 916-930.
12. EREZ, L., SADOT, O., EREZ, G. & LEVIN, L. A. 1995 Effect of the membrane on measurements of turbulent mixing in shock tubes. In Proc. 5th Intl Workshop on the Physics of Compressible Turbulent Mixing, pp. 169-177. Stony Brook (NY).
13. 2 laser absorption measurements of temperature and density in shock induced Richtmyer-Meshkov mixing zone. Phys. Rev. E 50, 3041-3049.
14. GALAMETZ, I. 1994 Visualisation et mesure de masse volumique dans un mélange gazeux en tube à choc. PhD thesis, Université des Sciences et Technologies de Lille.
15. GLASS, I. I. & SISLIAN, J. P. 1994 Nonstationary Flows and Shock Waves, Chap. 6, §2. Clarendon.
16. HARTUNIAN, R. A., RUSSO, A. L. & MARRONE, P. V. 1960 Boundary layer transition and heat transfer in shock tubes. J. Aero. Sci. 27, 587-594.
17. HOUAS, L. & CHEMOUNI, I. 1996 Experimental investigation of Richtmyer-Meshkov instability in shock tube. Phys. Fluids 8, 614-627.
18. HOUAS, L., TOUAT, A. & JOURDAN, G. 1995 Richtmyer-Meshkov mixing zone study by a multidirectional laser absorption technique. Phys. Rev. E 5-B, 5344-5351.
19. JACOBS, J. W. 1992 Shock-induced mixing of a light gas cylinder. J. Fluid. Mech. 234, 629-648.
20. JACOBS, J. W., JENKINS, D. G., KLEIN, D. L. & BENJAMIN, R. F. 1993 Experimental study of instability growth patterns of a shock-accelerated thin fluid layer. In Proc. 4th Intl Workshop on the Physics of Compressible Turbulent Mixing, pp. 223-229. Cambridge.
21. JESSEN, C. & GRÖNIG, H. 1991 A new method for manufacture of thin film heat flux gauges. Shock Waves J. 1, 161-164.
22. JOURDAN, G., BILLIOTTE, M. & HOUAS, L. 1996 Shock induced Richtmyer-Meshkov instability in the presence of a wall boundary layer. Shock Waves J. 6, 1-8.
23. JOURDAN, G., TOUAT, A., CHEMOUNI, I. & HOUAS, L. 1994 Multidirectional laser absorption technique for simultaneous determination of temperature and concentration within a shocked gaseous interface. In Proc. 7th Intl Symp. on Application of Laser Techniques to Fluids Mechanics, vol. 1, pp. 20.3.1-20.3.5. Lisbon.
24. LANDEG, D., PHILPOTT, M., SMITH, I. & SMITH, A. 1993 The laser sheet as a quantitative diagnostic in shock tube experiments. In Proc. 4th Intl Workshop on the Physics of Compressible Turbulent Mixing, pp. 230-239. Cambridge.
25. LINDL, J. D. & MEAD, W. C. 1975 Two-dimensional simulation of fluid instability in laser-fusion pellet. Phys. Rev. Lett. 34, 1273-1276.
26. MESHKOV, E. E. 1969 Instability of a shock wave accelerated interface between two gases. Sov. Fluid Dyn. 4, 107-108.
27. MEYER, R. F. 1957 The impact of a shock wave on a movable wall. J. Fluid. Mech. 4, 309-331.
28. MIKAELIAN, K. O. 1985 Richtmyer-Meshkov instabilies in stratified fluids. Phys. Rev. A 31, 410-419.
29. MIKAELIAN, K. O. 1990 Turbulent energy at accelerating and shocked interfaces. Phys. Fluids 2, 592-598.
30. MIRELS, H. 1964 Shock tube test time limitation due to turbulent wall boundary layer. AIAA J. 2, 84-93.
31. MIRELS, H. 1984 Turbulent boundary layer behind constant velocity shock including wall blowing effects. AIAA J. 22, 1042-1047.
32. NEUVAZHAYEV, V. E. 1991 Development of turbulent mixing zone induced by the Richtmyer-Meshkov instablity. Maths Mod. 10, 3-7.
33. RAYLEIGH, LORD 1883 Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc. 14, 170-177 (Reprinted in Scientific Papers, vol. 2, pp. 200-207, Cambridge University Press. 1900).
34. RAYLEIGH, LORD 1883 Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc. 14, 170-177 (Reprinted in Scientific Papers, vol. 2, pp. 200-207, Cambridge University Press. 1900).
35. READ, K. I. 1984 Experimental investigation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12, 45-48.
36. RICHTMYER, R. D. 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl Maths 13, 297-319.
37. RODRIGUEZ, G., GALAMETZ, I., CROSO, H. & HAAS J. F. 1993 Richtmyer-Meshkov instability in a vertical shock tube. In Proc. 19th Intl Symp. on Shock Waves, vol IV, pp. 275-280. Marseille.
38. SCHLICHTING, H. 1979 Boundary Layer Theory, 7th Edn. MacGraw-Hill.
39. SHVARTS, D., ALON, U., OFER, D., MCCRORY, R. E. & VERDON, C. P. 1995 Nonlinear evolution of multimode Rayleigh-Taylor instability in two and three dimensions. Phys. Plasma 2, 2465-2472.
40. SMARR, L., WILSON, J. R., BARTON, R. T. & BOWERS, R. L. 1981 Rayleigh Taylor overturn in supernova core collapse. Astrophys. J. 246, 515-525.
41. STALKER, R. J. & CRANE, K. C. A. 1978 Driver gas contamination in a high-enthalpy reflected shock tunnel. AIAA J. 16, 277-279.
42. TAYLOR, G. I. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Proc. R. Soc. Lond. A 201, 192-196.
43. 6 interface. Shock Waves J. 4, 247-252.
44. WAITZ, I. A., MARBLE, F. E. & ZUKOSKI, E. E. 1991 An investigation of a contoured wall injector for hypervelocity mixing augmentation. AIAA J. 91, 2265-2271.
45. WANG, J. T. 1976 Laser absorption methods for simultaneous determination of temperature and species concentration through a cross section of radiating flow. Appl. Optics 15, 768-773.
46. YOUNGS, D. E. 1984 Numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Physica D 12, 32-44.
47. ZAYTSEV, S. G., CHEBOTAREVA, E. & TITOV, S. 1993 Passage of a shock wave through a continuous interface separating gases of different densities. In Proc. 19th Intl Symp. on Shock Waves, vol. IV, pp. 227-232. Marseille.
48. ZAYTSEV, S. G., LAZAREVA, E. V., CHERNUKA, V. V. & BELYAEV, V. M. 1985 Intensification of mixing at the interface between media of different densities upon the passage of a shock wave through it. Dolk. Akad. Nauk. SSSR 283, 94-98.