Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers

Journal of Fluid Mechanics

Volumn 585, Issue , 2007, Pages 1-40

  Tsuji, Y ^a   Fransson, J H M ^b   Alfredsson, P H ^a   Johansson, A V ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; PRESSURE GRADIENT; REYNOLDS NUMBER; TURBULENCE;

POWER-LAW SCALING; STREAMWISE VELOCITY; WALL PRESSURE;

BOUNDARY LAYER FLOW;

BOUNDARY LAYER FLOW; CORRELATION METHODS; PRESSURE GRADIENT; REYNOLDS NUMBER; TURBULENCE;

FLOW VELOCITY; PRESSURE EFFECT; REYNOLDS NUMBER; TURBULENT BOUNDARY LAYER;

EID: 34547753445     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007006076     Document Type: Article

References (81)

1. ABE, H., MATSUO, Y. & KAWAMURA, H. 2005 A DNS study of Reynolds-number dependence on pressure fluctuations in a turbulent channel flow. In Proc. Fourth Intl Symp. on Turbulence and Shear Flow Phenomena, Williamsburg, VA USA, 27-29 June, pp. 189-194.
2. ALBERTSON, J. D., KATUL, G. G., PARLANGE, M. B. & EICHINGER, W. E. 1998 Spectral scaling of static pressure fluctuations in the atmospheric surface layer: The interaction between large and small scales. Phys. Fluids 10, 1725-1732.
3. ALFREDSSON, P. H. & JOHANSSON, A. V. 1984 Time scale in turbulent channel flow. Phys. Fluids 27, 1974-1980.
4. ALFREDSSON, P. H., JOHANSSON, A. V. & KIM, J. 1988 Turbulence production near walls: The role of flow structures with spanwise asymmetry. Studying Turbulence Using Numerical Simulation Databases - II. Proc. 1988 Summer program, Center for Turbulence Research, Report CTR-S88.
5. ALVELIUS, K. & JOHANSSON, A. V. 2000 Les computations and comparison with kolmogorov theory for two-point pressure-velocity correlations and structure functions for globally anisotropic turbulence. J. Fluid Mech. 403, 22-36.
6. ARAD, I., DHRUVA, B., KURIEN, S., L:VOV, V. S., PROCACCIA, I. & SREENIVASAN, K. R. 1998 Extraction of anisotropic contribution in turbulent flows. Phys. Rev. Lett. 81, 5330-5333.
7. BATCHELOR, G. K. 1951 Pressure fluctuations in isotropic turbulence. Proc. Camb. Phil. Soc. 47, 359-374.
8. BRADSHAW, P. 1967a Inactive motion and pressure fluctuation in turbulent boundary layers. J. Fluid Mech. 30, 241-258.
9. BRADSHAW, P. 1967b The turbulence structure of equilibrium boundary layers. J. Fluid Mech. 29, 625-645.
10. BULL, M. K. 1996 Wall-pressure fluctuations beneath turbulent boundary layers: Some reflections on forty years of research. J. Sound Vib. 190, 299-315.
11. CADOT, O., DOUADY, S. & COUDER, Y. 1995 Characterization of the low-pressure filaments in a three-dimensional turbulent shear flow. Phys. Fluids 7, 630-646.
12. CAO, N., CHEN, S. & DOOLEN, G. D. 1999 Statistics and structures of pressure in isotropic turbulence. Phys. Fluids 11, 2235-2250.
13. CHUE, S. H. 1975 Pressure probes for fluid measurement. Prog. Aerospace Sci. 16, 147-223.
14. CORCOS, G. M. 1963 Resolution of pressure in turbulence. J. Acoustic. Soc. Am. 35, 192-199.
15. ECKELMANN, H. 1989 A review of knowledge of pressure fluctuations. In Proc. 1988 Zoran Zaric Memorial Conference, Dubrovnik, Croatia (ed. S. J. Kline & N. H. Afgan), pp. 328-347.
16. EGGELS, J. G. M., UNGER, F., WEISS, M. H., WESTERWEEL, J., ADRIAN, R. J., FRIEDRICH, R. & NIEUWSTADT, F. T. M. 1994 Fully developed turbulent pipe flow: A comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175-209.
17. ELLIOT, J. A. 1972 Microscale pressure fluctuations measured within the lower atmospheric boundary layer. J. Fluid Mech. 53 351-383.
18. FARABEE, T. M. & CASARELLA, M. J. 1986 Measurements of fluctuating wall pressure for separated reattached boundary-layer flows. Trans. ASME: J. Vib. Acoust. 108, 301-307.
19. FARABEE, T. M. & CASARELLA, M. J. 1991 Spectral features of wall pressure fluctuations beneath turbulent boundary layers. Phys. Fluids 3, 2410-2420.
20. FERNHOLZ, H. F. & FINLEY, P. J. 1996 The incompressible zero-pressure-gradient turbulent boundary layer: An assessment of the data. Prog. Aerospace Sci. 32, 245-311.
21. GEDNEY, C. J. & LEEHEY, P. 1991 Wall pressure fluctuations during transition on a flat plate. Trans. ASME: J. Vib. Acoust. 113 255-266.
22. GEORGE, W. K., BEUTHER, P. D. & ARNDT, R. E. A. 1984 Pressure spectra in turbulent free shear flows. J. Fluid Mech. 148, 155-191.
23. GOLDSTEIN, S. A. 1936 A note on measurement of total head and static pressure in a turbulent stream. Proc. R. Soc. Lond. A 155, 570-575.
24. GOTOH, T. & FUKAYAMA, D. 2001 Pressure spectrum in homogeneous turbulence. Phys. Rev. Lett. 86, 3775-3778.
25. GOTOH, T. & ROGALLO, R. S. 1999 Intermittency and scaling of pressure at small scales in forced isotropic turbulence. J. Fluid Mech. 396, 257-285.
26. GRAVANTE, S. P., NAGUIB, A. M., WARK, C. E. & NAGIB, H. M. 1998 Characterization of the pressure fluctuations under a fully developed turbulent boundary layer. AIAA J. 36, 1808-1816.
27. HEISENBERG, W. 1948 Zür Statistischen Theorie der Turbulenz. Z. Phys. 124, 628-657.
28. HILL, R. J. 2002 Scaling of acceleration in locally isotropic turbulence. J. Fluid Mech. 452, 361-370.
29. HILL, R. J. & WILCZAK, J. M. 1995 Pressure stucture functions and spectra for locally isotropic turbulence. J. Fluid Mech. 296 247-269.
30. HINZE, J. O. 1975 Turbulence. McGraw-Hill.
31. IIDA, A., OTAGURO, T., KATO, C. & SHIMODE, S. 1998 Analysis of aerodynamic sound source with measurement of static-pressure fluctuation. JSME 64, 2057-2064 (in Japanese).
32. INOUE, E. 1951 The application of the turbulence theory to the large-scale atmospheric phenomena. Geophys. Mag. 23, 1-14.
33. ISHIHARA, T., KANEDA, Y., YOKOKAWA, M., ITAKURA, K. & UNO, A. 2003 Spectra of energy dissipation, enstropy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box. J. Phys. Soc. Japan 72, 983-986.
34. JEONG, J., HUSSAIN, F., SCHOPPA, W. & KIM, J. 1997 Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 332, 185-214.
35. JOHANSSON, A. V., ALFREDSSON, P. H. & KIM, J. 1991 Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid Mech. 224, 579-599.
36. JONES, B. G., ADRIAN, R. J., NITHIANDAN, C. K. & PLANCHON, H. P. 1979 Spectra of turbulent static pressure fluctuation in jet mixing layers. AIAA J. 17, 449-457.
37. JSME 1985 JSME Data Book : Flow Measurement. The Japan Society of Mechanical Engineering.
38. KEITH, W. L., HURDIS, D. A. & ABRAHAM, B. M. 1992 A comparison of turbulent boundary layer wall-pressure spectra. Trans. ASME: J. Fluids Engng 114, 338-347.
39. KIDA, S. & MIURA, H. 1998 Identification and analysis of vortical structures? Eur. J. Mech. B-Fluids 17, 471-488.
40. KIM, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421-451.
41. KLEWICKI, J. C., PERKINS, B. F. & METZGE, M. M. 2005 Wall pressure statistics in a high reynolds number turbulent boundary layer. In Proc. Fourth Intl Symp. on Turbulence and Shear Flow Phenomena, Williamsburg, VA USA, 27-29 June (ed. J. A. C. Humphrey, T. B. Gatski, J. K. Eaton, R. Friedrich, N. Kasagi & M. A. Leschziner), pp. 21-26.
42. KOBASHI, Y. 1957 Measurements of pressure fluctuation in the wake of cylinder. J. Phys. Soc. Japan 12, 533-543.
43. KOBASHI, Y. & ICHIJO, M. 1986 Wall pressure and its relation to turbulent structure of a boundary layer. Exps. Fluids 4, 49-55.
44. KOBASHI, Y., KOMODA, H. & ICHIJO, M. 1984 Wall pressure fluctuation and the turbulence structure of a boundary layer. In Turbulence and Chaotic Phenomena in Fluids (ed. T. Tatsumi), pp. 461-466. Elsevier.
45. KOBASHI, Y., KONO, N. & NISHI, T. 1960 Improvement of a pressure pickup for the measurements of turbulence characteristics. J. Aero/ Space Sci. 27, 149-151.
46. KURIEN, S., L'VOV, V. S., PROCACCIA, I. & SREENIVASAN, K. R. 2000 Scaling structure of the velocity statistics in atmospheric boundary layers. Phys. Rev. E 61, 407-421.
47. LA PORTA, A., VOTH, G. A., CRAWFORD, A. M., ALEXANDER, J. & BODENSCHATZ, E. 2001 Fluid particle accelerations in fully developed turbulence. Nature 409, 1017-1019.
48. LINDGREN, B. 2002 Flow facility design and experimental studies of wall-bounded turbulent shearflow. PhD thesis, TRITA-MEK Tech. Rep. 2002:16, Dept. Mech., KTH, Stockholm, Sweden.
49. LINDGREN, B., JOHANSSON, A. V. & TSUJI, Y. 2004 Universality of probability density distributions in the overlap region in high reynolds number turbulent boundary layer. Phys. Fluids 16, 2587-2591.
50. LÖFDAHL, L. & GAD-EL-HAK, M. 1999 MEMS-based pressure and shear stress sensors for turbulent flow. Meas. Sci. Technol. 10, 665-686.
51. LUEPTOW, R. M. 1995 Transducer resolution and the turbulent wall pressure spectrum. J. Acoust. Soc. Am. 97, 370-378.
52. MONIN, M. S. & YAGLOM, A. M. 1971 Statistical Fluid Mechanics, Vol. 2. The MIT Press.
53. t = 590. Phys. Fluids 11, 943-945.
54. NAKA, Y., OMORI, T., OBI, S. & MASUDA, S. 2005 Experimental study on velocity-pressure correlation in turbulent mixing layer out of equilibrium state. In Proc. Fourth Intl Symp. on Turbulence and Shear Flow Phenomena, Williamsburg, VA USA, 27-29 June (ed. J. A. C. Humphrey, T. B. Gatski, J. K. Eaton, R. Friedrich, N. Kasagi & M. A. Leschziner), pp. 1125-1130.
55. NEPOMUCENO, H. G. & LUEPTOW, R. M. 1997 Pressure and shear stress measurements at the wall in a turbulent boundary layer on a cylinder. Phys. Fluids 9, 2732-2739.
56. OBUKHOV, A. M. 1949 Pressure fluctuations in a turbulent flow. Dokl. Akad. Nauk SSSR 66, 17-20.
57. OBUKHOV, A. M. & YAGLOM, A. M. 1951 The microstructure of turbulent flow. NACA TM 1350.
58. ÖSTERLUND, J. M. 1999 Experimental studies of zero pressure-gradient turbulent boundary layer flow. PhD thesis, TRITA-MEK Tech. Rep. 1999:16, Dept. Mech., KTH, Stockholm, Sweden.
59. ÖSTERLUND, J. M., JOHANSSON, A. V., NAGIB, H. M. & HITES, M. H. 2000 A note on the overlap region in turbulent boundary layers. Phys. Fluids 12, 1-4.
60. PANTON, R. L., GOLDMAN, A. L., LOWERY, R. L. & REISCHMAN, M. M. 1980 Low-frequency pressure fluctuations in axisymmetric turbulent boundary layers. J. Fluid Mech. 97, 299-319.
61. PANTON, R. L. & LINEBARGER, J. H. 1974 Wall pressure spectra calculations for equilibrium boundary layers. J. Fluid Mech. 65 261-287.
62. PERRY, A. E., HENBEST, S. M. & CHONG, M. S. 1986 A theoretical and experimental study of wall turbulence. J. Fluid Mech. 165, 163-199.
63. PUMIR, A. 1994 A numerical study of pressure fluctuations in three-dimensional, incompressible, homogeneous, isotropic turbulence. Phys Fluids 6, 2071-2083.
64. SCHEWE, G. 1983 On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow. J. Fluid Mech. 134, 311-328.
65. SHAW, R. 1960 The influence of hole dimensions on static pressure measurements. J. Fluid Mech. 9, 550-556.
66. SHEN, X. & WARHAFT, Z. 2000 The anisotropy of the small scale structure in high reynolds number turbulent shear flow. Phys. Fluids 12, 2976-2989.
67. SKOTE, M. 2001 Studies of turbulent boundary layer flow through direct numerical simulation. PhD thesis, TRITA-MEK Tech. Rep. 2001:01, Dept. Mech., KTH, Stockholm, Sweden.
68. θ = 1410. J. Fluid Mech. 187, 61-98.
69. SREENIVASAN, K. R. & ANTONIA, R. A. 1997 The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.
70. TANIFUJI, N., ICHIJO, M., IIDA, S. & KOBASHI, Y. 1986 Coherent structures in fully developed turbulent pipe flow. Bull. JSME 29, 1156-1162.
71. TOWNSEND, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.
72. TOYODA, K., OKAMOTO, T. & SHIRAHAMA, Y. 1993 Eduction of vortical structures by pressure measurements in noncircular jet. Fluid Mech. Applics. 21, 125-136.
73. Tsuji, Y. 2003 Large-scale anisotropy effect on small-scale statistics over rough wall turbulent boundary layers. Phys. Fluids 12, 3816-3828.
74. Tsuji, Y., FRANSSON, J. H. M., ALFREDSSON, P. H. & JOHANSSONN, A. V. 2005a Pressure statistics in high-Reynolds number turbulent boundary layer. In Proc. Fourth Intl Symp. on Turbulence and Shear Flow Phenomena, Williamsburg, VA USA, 27-29 June (ed. J. A. C. Humphrey, T. B. Gatski, J. K. Eaton, R. Friedrich, N. Kasagi & M. A. Leschziner), pp. 27-32.
75. TSUJI, Y. & ISHIHARA, T. 2003 Similarity scaling of pressure fluctuation in turbulence. Phys. Rev. E 68, 026309.
76. TSUJI, Y. & ISHIHARA, T. 2006 Pressure statistics in turbulence. In IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics, Kyoto Japan, 26 28 October, 2004 pp. 163-170. Springer.
77. TSUJI, Y., LINDGREN, B. & JOHANSSONN, A. V. 2005b Self-similar profile of probability density functions in zero-pressure gradient turbulent boundary layers. Fluid Dyn. Res. 37, 293-316.
78. VEDULA, P. & YEUNG, P. K. 1999 Similarity scaling of acceleration and pressure statistics in numerical simulation of isotropic turbulence. Phys. Fluids 11, 1208-1220.
79. VOTH, G. A., SATYANARAYAN, K. & BODENSCHATZ, E. 1998 Lagrangian acceleration measurements at large Reynolds numbers. Phys. Fluids 10, 2268-2280.
80. WILLMARTH, W. W. 1975 Pressure fluctuations beneath turbulent boundary layers. Annu. Rev. Fluid Mech. 7, 13-38.
81. YAGLOM, A. M. 1949 Acceleration field in a turbulent flow. Dokl. Akad. Nauk SSSR 67, 795-798.