How linear is wall-bounded turbulence?

Physics of Fluids

Volumn 25, Issue 11, 2013, Pages

  Jiménez, Javier ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

LINEARIZATION; TURBULENCE; VELOCITY;

INCLINATION ANGLES; LINEAR COMPONENTS; LOGARITHMIC LAYERS; STREAM-WISE VELOCITIES; TEMPORAL CORRELATIONS; TRANSIENT AMPLIFICATION; VELOCITY GRADIENTS; WALL BOUNDED TURBULENCE;

SHEAR FLOW;

EID: 84887013154     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4819081     Document Type: Article

References (64)

1. Kolmogorov A.N. Kolmogorov A.N. The local structure of turbulence in incompressible viscous fluids a very large Reynolds numbers. Proc. R. Soc. London. A 1991, 434:9-13. 10.1098/rspa.1991.0075, reprinted in.
2. Keefe L. Moin P. Kim J. The dimension of attractors underlying periodic turbulent Poiseuille flow. J. Fluid Mech. 1992, 242:1-29. 10.1017/S0022112092002258
3. Brown G.L. Roshko A. On the density effects and large structure in turbulent mixing layers. J. Fluid Mech. 1974, 64:775-816. 10.1017/S002211207400190X
4. Gaster M. Kit E. Wygnanski I. Large-scale structures in a forced turbulent mixing layer. J. Fluid Mech. 1985, 150:23-39. 10.1017/S0022112085000027
5. Reynolds W.C. Tiederman W.G. Stability of turbulent channel flow, with application to Malkus' theory. J. Fluid Mech. 1967, 27:253-272. 10.1017/S0022112067000308
6. Hussain A.K. M. F. Reynolds W.C. The mechanics of an organized wave in turbulent shear flow. J. Fluid Mech. 1970, 41:241-258. 10.1017/S0022112070000605
7. Malkus W.V. R. Outline of a theory of turbulent shear flow. J. Fluid Mech. 1956, 1:521-539. 10.1017/S0022112056000342
8. Butler K.M. Farrell B.F. Optimal perturbations and streak spacing in wall-bounded shear flow. Phys. Fluids A 1993, 5:774-777. 10.1063/1.858663
9. del Álamo J.C. Jiménez J. Linear energy amplification in turbulent channels. J. Fluid Mech. 2006, 559:205-213. 10.1017/S0022112006000607
10. Cossu C. Pujals G. Depardon S. Optimal transient growth and very large-scale structures in turbulent boundary layers. J. Fluid Mech. 2009, 619:79-94. 10.1017/S0022112008004370
11. Schmid P.J. Nonmodal stability theory. Annu. Rev. Fluid Mech. 2007, 39:129-162. 10.1146/annurev.fluid.38.050304.092139
12. Corrsin S. Local isotropy in turbulent shear flow. 1958, NACA Research Memorandum 58B11, Washington.
13. Saddoughi S.G. Veeravali S.V. Local isotropy in turbulent boundary layers at high Reynolds numbers. J. Fluid Mech. 1994, 268:333-372. 10.1017/S0022112094001370
14. Lee M.J. Kim J. Moin P. Structure of turbulence at high shear rates. J. Fluid Mech. 1990, 216:561-583. 10.1017/S0022112090000532
15. Schmid P.J. Henningson D.S. Stability and Transition in Shear Flows 2001, 55-58. and (Springer)
16. Orr W.M. The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Part I: A perfect liquid. Proc. R. Ir. Acad. A 1907, 27:9-68.
17. Ellingsen T. Palm E. Stability of linear flow. Phys. Fluids 1975, 18:487-488. 10.1063/1.861156
18. Kline S.J. Reynolds W.C. Schraub F.A. Runstadler P.W. Structure of turbulent boundary layers. J. Fluid Mech. 1967, 30:741-773. 10.1017/S0022112067001740
19. Swearingen J.D. Blackwelder R.F. The growth and breakdown of streamwise vortices in the presence of a wall. J. Fluid Mech. 1987, 182:255-290. 10.1017/S0022112087002337
20. Kim H.T. Kline S.J. Reynolds W.C. The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 1971, 50:133-160. 10.1017/S0022112071002490
21. Jiménez J. Moin P. The minimal flow unit in near-wall turbulence. J. Fluid Mech. 1991, 225:213-240. 10.1017/S0022112091002033
22. Jiménez J. On the structure and control of near wall turbulence. Phys. Fluids 1994, 6:944-953. 10.1063/1.868327
23. Hamilton J.M. Kim J. Waleffe F. Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 1995, 287:317-248. 10.1017/S0022112095000978
24. Jiménez J. Pinelli A. The autonomous cycle of near wall turbulence. J. Fluid Mech. 1999, 389:335-359. 10.1017/S0022112099005066
25. Jiménez J. Kawahara G. Simens M.P. Nagata M. Shiba M. Characterization of near-wall turbulence in terms of equilibrium and 'bursting' solutions. Phys. Fluids 2005, 17:015105. 10.1063/1.1825451
26. Schoppa W. Hussain F. Coherent structure generation in near-wall turbulence. J. Fluid Mech. 2002, 453:57-108. 10.1017/S002211200100667X
27. Jiménez J. del Álamo J.C. Flores O. The large-scale dynamics of near-wall turbulence. J. Fluid Mech. 2004, 505:179-199. 10.1017/S0022112004008389
28. Flores O. Jiménez J. Hierarchy of minimal flow units in the logarithmic layer. Phys. Fluids 2010, 22:071704. 10.1063/1.3464157
29. Boyd J.P. The continuous spectrum of linear Couette flow with the beta effect. J. Atmos. Sci. 1983, 40:2304-2308. 10.1175/1520-0469(1983)040<2304:TCSOLC>2.0.CO;2
30. Farrell B.F. Developing disturbances in shear. J. Atmos. Sci. 1987, 44:2191-2199. 10.1175/1520-0469(1987)044<2191:DDIS>2.0.CO;2
31. Farrell B.F. Ioannou P.J. Stochastic forcing of the linearized Navier-Stokes equations. Phys. Fluids A 1993, 5:2600-2609. 10.1063/1.858894
32. Farrell B.F. Ioannou P.J. Transient development of perturbations in stratified shear flow. J. Atmos. Sci. 1993, 50:2201-2214. 10.1175/1520-0469(1993)050<2201:TDOPIS>2.0.CO;2
33. Offen G.R. Kline S.J. A proposed model for the bursting process in turbulent boundary layers. J. Fluid Mech. 1975, 70:209-228. 10.1017/S002211207500198X
34. Robinson S.K. Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 1991, 23:601-639. 10.1146/annurev.fl.23.010191.003125
35. Lozano-Durán A. Jiménez J. Time-resolved evolution of the wall-bounded vorticity cascade. J. Phys.: Conf. Ser. 2011, 318:062016. 10.1088/1742-6596/318/6/062016
36. Jiménez J. Simens M.P. Low-dimensional dynamics in a turbulent wall flow. J. Fluid Mech. 2001, 435:81-91. 10.1017/S0022112001004050
37. Kawahara G. Kida S. Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst. J. Fluid Mech. 2001, 449:291-300. 10.1017/S0022112001006243
38. Kawahara G. Uhlmann M. van Veen L. The significance of simple invariant solutions in turbulent flows. Annu. Rev. Fluid Mech. 2012, 44:203-225. 10.1146/annurev-fluid-120710-101228
39. Jiménez J. Cascades in wall-bounded turbulence. Annu. Rev. Fluid Mech. 2012, 44:27-45. 10.1146/annurev-fluid-120710-101039
40. Drazin P.G. Reid W.H. Hydrodynamic Stability 1981, and (Cambridge University Press).
41. Kim J. On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 1989, 205:421-451. 10.1017/S0022112089002090
42. Townsend A.A. The Structure of Turbulent Shear Flow 1976, 2nd ed. (Cambridge University Press), Chap. 3.12.
43. Farrell B.F. Ioannou P.J. Optimal excitation of three-dimensional perturbations in viscous constant shear flow. Phys. Fluids A 1993, 5:1390-1400. 10.1063/1.858574
44. Tennekes H. Lumley J.L. A First Course in Turbulence 1972, and (MIT Press).
45. Nakagawa H. Nezu I. Structure of space-time correlations of bursting phenomena in an open channel flow. J. Fluid Mech. 1981, 104:1-43. 10.1017/S0022112081002796
46. Ganapathisubramani B. Longmire E. Marusic I. Characteristics of vortex packets in turbulent boundary layers. J. Fluid Mech. 2003, 478:35-46. 10.1017/S0022112002003270
47. Tomkins C.D. Adrian R.J. Spanwise structure and scale growth in turbulent boundary layers. J. Fluid Mech. 2003, 490:37-74. 10.1017/S0022112003005251
48. del Álamo J.C. Jiménez J. Zandonade P. Moser R.D. Self-similar vortex clusters in the logarithmic region. J. Fluid Mech. 2006, 561:329-358. 10.1017/S0022112006000814
49. Lozano-Durán A. Flores O. Jiménez J. The three-dimensional structure of momentum transfer in turbulent channels. J. Fluid Mech. 2012, 694:100-130. 10.1017/jfm.2011.524
50. García-Mayoral R. Jiménez J. Hydrodynamic stability and breakdown of the viscous regime over riblets. J. Fluid Mech. 2011, 678:317-347. 10.1017/jfm.2011.114
51. Kim J. Moin P. Moser R.D. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 1987, 177:133-166. 10.1017/S0022112087000892
52. del Álamo J.C. Jiménez J. Zandonade P. Moser R.D. Scaling of the energy spectra of turbulent channels. J. Fluid Mech. 2004, 500:135-144. 10.1017/S002211200300733X
53. Hoyas S. Jiménez J. Scaling of the velocity fluctuations in turbulent channels up to Reτ = 2003. Phys. Fluids 2006, 18:011702. 10.1063/1.2162185
54. Jiménez J. Hoyas S. Simens M.P. Mizuno Y. Turbulent boundary layers and channels at moderate Reynolds numbers. J. Fluid Mech. 2010, 657:335-360. 10.1017/S0022112010001370
55. Yeung P.K. Pope S.B. Lamorgese A.G. Donzis D.A. Acceleration and dissipation statistics of numerically simulated isotropic turbulence. Phys. Fluids 2006, 18:065103. 10.1063/1.2204053
56. Jiménez J. Hoyas S. Turbulent fluctuations above the buffer layer of wall-bounded flows. J. Fluid Mech. 2008, 611:215-236. 10.1017/S0022112008002747
57. Yeung P.K. Lagrangian investigations of turbulence. Annu. Rev. Fluid Mech. 2002, 34:115-142. 10.1146/annurev.fluid.34.082101.170725
58. Perry A.E. Henbest S.M. Chong M.S. A theoretical and experimental study of wall turbulence. J. Fluid Mech. 1986, 165:163-199. 10.1017/S002211208600304X
59. Townsend A.A. Equilibrium layers and wall turbulence. J. Fluid Mech. 1961, 11:97-120. 10.1017/S0022112061000883
60. Lamb H. Hydrodynamics 1895, 2nd ed. (Cambridge University Press).
61. Batchelor G.K. An Introduction to Fluid Dynamics 1967, (Cambridge University Press).
62. This limit is obtained by noting that the motion conserves the energy log |sin (2z0)|, and equating the energies of the two configurations in which the rows are either aligned along the centerline, z0 = π/4, or maximally separated at z0 = iH.
63. Jiménez J. Uhlmann M. Pinelli A. Kawahara G. Turbulent shear flow over active and passive porous surfaces. J. Fluid Mech. 2001, 442:89-117. 10.1017/S0022112001004888
64. García-Mayoral R. Jiménez J. Scaling of turbulent structures in riblet channels up to Reτ ≈ 550. Phys. Fluids 2012, 24:105101. 10.1063/1.4757669