Turbulent-laminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces

Journal of Fluid Mechanics

Volumn 704, Issue , 2012, Pages 137-172

  Brethouwer, G ^a   Duguet, Y ^b   Schlatter, P ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b CNRS   (France)

Author keywords

transition to turbulence; turbulent flows

Indexed keywords

BUOYANCY; LORENTZ FORCE; MAGNETOHYDRODYNAMICS; OPEN CHANNEL FLOW; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW; WALL FLOW;

COMPUTATIONAL DOMAINS; LAMINAR AND TURBULENT FLOW; LARGE SCALE STRUCTURES; LOW REYNOLDS NUMBER; NEAR WALL TURBULENCE STRUCTURES; PLANE COUETTE FLOW; STABLE STRATIFICATION; TRANSITION TO TURBULENCE;

SHEAR FLOW;

BUOYANCY; CORIOLIS FORCE; LAMINAR FLOW; LAMINAR-TURBULENT TRANSITION; MAGNETIC FIELD; MAGNETOHYDRODYNAMICS; NUMERICAL MODEL; PARAMETERIZATION; REYNOLDS NUMBER; TREND ANALYSIS; TURBULENT FLOW;

EID: 84865529737     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.224     Document Type: Article

References (52)

1. DEL Á LAMO, J. C. & JIḾE NEZ, J. 2003. Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids, 15, L41.
2. DEL Á LAMO, J. C. & JIḾE NEZ, J. 2009 Estimation of turbulent convection velocities and corrections to Taylor's approximation. J. Fluid Mech. 640, 5-26.
3. ANDERECK, C. D., LUI, S. S. & SWINNEY, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183. (Pubitemid 16535639)
4. ARMENIO, V. & SARKAR, S. 2002 An investigation of stably stratified turbulent channel flow using large-eddy simulation. J. Fluid Mech. 459, 1-42.
5. BARKLEY, D. & TUCKERMAN, L. S. 2005 Computational study of turbulent laminar patterns in Couette flow. Phys. Rev. Lett. 94, 014502.
6. BARKLEY, D. & TUCKERMAN, L. S. 2007 Mean flow of turbulent-laminar patterns in plane Couette flow. J. Fluid Mech. 576, 109-137. (Pubitemid 47039344)
7. BOECK, T., KRASNOV, D., THESS, A. & ZIKANOV, O. 2008 Large-scale intermittency of liquid-metal channel flow in a magnetic field. Phys. Rev. Lett. 101, 244501.
8. BOECK, T., KRASNOV, D. & ZIENICKE, E. 2007 Numerical study of magnetohydrodynamic channel flow. J. Fluid Mech. 572, 179-188.
9. CHEVALIER, M., SCHLATTER, P., LUNDBLADH, A. & HENNINGSON, D. S. 2007 A pseudo-spectral solver for incompressible boundary layer flows. Technical Report TRITA-MEK 2007:07, KTH Mechanics, Stockholm, Sweden.
10. COLES, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
11. COLOVAS, P. W. & ANDERECK, C. D. 1997 Turbulent bursting and spatiotemporal intermittency in the counterrotating Taylor-Couette system. Phys. Rev. E 55, 2736-2741. (Pubitemid 127607652)
12. DEAN, R. B. 1978 Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. Trans. ASME: J. Fluids Engng 100, 215-223. (Pubitemid 8623684)
13. DONG, S. 2009 Evidence for internal structure of spiral turbulence. Phys. Rev. E 80, 067301.
14. DONG, S. & ZHENG, X. 2011 Direct numerical simulation of spiral turbulence. J. Fluid Mech. 668, 150-173.
15. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
16. DUGUET, Y., SCHLATTER, P. & HENNINGSON, D. S. 2010 Formation of turbulent patterns near the onset of transition in plane Couette flow. J. Fluid Mech. 650, 119-129.
17. EMMONS, H. W. 1951 The laminar-turbulent transition in a boundary layer. J. Aerosp. Sci. 18, 490-498.
18. FLORES, O. & RILEY, J. J. 2011 Analysis of turbulence collapse in the stably stratified surface layer using direct numerical simulation. Boundary-Layer Meteorol. 139, 241-259.
19. FUKUDOME, K., IIDA, O. & NAGANO, Y. 2009 The mechanism of energy transfer in turbulent Poiseuille flow at very low Reynolds number. In Proceedings of 6th International Symposium on Turbulence and Shear Flow Phenomena, pp. 471-476.
20. GAGE, K. S. & REID, W. H. 1968 The stability of thermally stratified plane Poiseuille flow. J. Fluid Mech. 33, 21-32.
21. GARĆIA-VILLALBA, M. & DEL ÁLAMO, J. C. 2011 Turbulence modification by stable stratification in channel flow. Phys. Fluids 23, 045104.
22. HASHIMOTO, S., HASOBE, A., TSUKAHARA, T., KAWAGUCHI, Y. & KAWAMURA, H. 2009 An experimental study on turbulent-stripe structure in transitional channel flow. In Proceedings of the Sixth International Symposium on Turbulence, Heat and Mass Transfer, pp. 193-196. Begell House Inc.
23. KOMMINAHO, J., LUNDBLADH, A. & JOHANSSON, A. V. 1996 Very large structures in plane turbulent Couette flow. J. Fluid Mech. 320, 259-285.
24. KOMORI, S., UEDA, H., OGINO, F. & MIZUSHINA, T. 1983 Turbulence structures in stably stratified open-channel flow. J. Fluid Mech. 130, 13.
25. KRASNOV, D., ROSSI, M., ZIKANOV, O. & BOECK, T. 2008a Optimal growth and transition to turbulence in channel flow with spanwise magnetic field. J. Fluid Mech. 596, 73-101.
26. KRASNOV, D., ZIKANOV, O., SCHUMACHER, J. & BOECK, T. 2008b Magnetohydrodynamic turbulence in a channel with spanwise magnetic field. Phys. Fluids 20, 095105.
27. LEE, D. & CHOI, H. 2001 Magnetohydrodynamic turbulent flow in a channel at low magnetic Reynolds number. J. Fluid Mech. 439, 367-394. (Pubitemid 32665365)
28. LESIEUR, M., YANASE, S. & ḾE TAIS, O. 1991 Stabilizing and destabilizing effects of a solid-body rotation on quasi-two-dimensional shear layers. Phys. Fluids A 3, 403.
29. LEZIUS, D. K. & JOHNSTON, J. P. 1976 Roll-cell instabilities in rotating laminar and turbulent channel flows. J. Fluid Mech. 77, 153-175.
30. LI, Q., SCHLATTER, P., BRANDT, L. & HENNINGSON, D. S. 2009 DNS of a spatially developing turbulent boundary layer with passive scalar transport. Intl J. Heat Fluid Flow 30, 916-929.
31. LI, Q., SCHLATTER, P. & HENNINGSON, D. S. 2008 Spectral simulations of wall-bounded flows on massively parallel computers. Tech. Rep., KTH Mechanics, Stockholm, Sweden. In Licentiate Thesis of Q. Li, 2009.
32. LINGWOOD, R. J. & ALBOUSSÌE RE, T. 1999 On the stability of the Hartmann layer. Phys. Fluids 11, 2058-2068. (Pubitemid 129656932)
33. MAHRT, L. 1999 Stratified atmospheric boundary layers. Boundary-Layer Meteorol. 90, 375-396. (Pubitemid 29440288)
34. MESEGUER, A., MELLIBOVSKY, F., AVILA, M. & MARQUES, F. 2009 Instability mechanisms and transition scenarios of spiral turbulence in Taylor-Couette flow. Phys. Rev. E 80, 046315.
35. MILES, J. W. 1961 On the stability of heterogeneous shear flows. J. Fluid Mech. 10, 496-508.
36. MOSER, R. D., KIM, J. & MANSOUR, N. N. 1999 Direct numerical simulation of turbulent channel flow up to Reτ = 590. Phys. Fluids 11, 943-945. (Pubitemid 129518650)
37. PHILIP, J. & MANNEVILLE, P. 2011 From temporal to spatiotemporal dynamics in transitional plane Couette flow. Phys. Rev. E 83, 036308.
38. PRIGENT, A. 2001 PhD thesis, University Paris-Sud.
39. PRIGENT, A., GŔE GOIRE, G., CHAT́E, H. & DAUCHOT, O. 2003 Long-wavelength modulation of turbulent shear flows. Physica D 174, 100-113. (Pubitemid 35460189)
40. PRIGENT, A., GŔEGOIRE, G., CHAT́E, H., DAUCHOT, O. & VAN SAARLOOS, W. 2002 Large-scale finite-wavelength modulation within turbulent shear flows. Phys. Rev. Lett. 89, 014501.
41. PTASINSKI, P. K., BOERSMA, B. J., NIEUWSTADT, F. T. M., HULSEN, M. A., VAN DEN BRULE, B. H. A. A. & HUNT, J. C. R. 2003 Turbulent channel flow near maximum drag reduction: simulations, experiments and mechanisms. J. Fluid Mech. 490, 251-291. (Pubitemid 37164469)
42. REYNOLDS, O. 1883 An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous and of the law of resistance in parallel channels. Phil. Trans. R. Soc. 174, 935-982.
43. ROBERTSON, J. M. & JOHNSON, H. F. 1970 Turbulence structure in plane Couette flow. ASCE J. Engng Mech. Div. 96, 1171-1182.
44. ROLLAND, J. & MANNEVILLE, P. 2011 Pattern fluctuations in transitional plane Couette flow. J. Stat. Phys. 142, 577-591.
45. ROMANOV, V. A. 1973 Stability of plane-parallel Couette flow. Funct. Anal. Appl. 7, 137-146.
46. SCHLATTER, P., ÖRL̈U, R., BRETHOUWER, G., FRANSSON, J. H. M., JOHANSSON, A. V., ALFREDSSON, P. H. & HENNINGSON, D. S. 2009 Turbulent boundary layers up to Reτ = 2500 studied through simulation and experiment. Phys. Fluids 21, 051702.
47. TAKASHIMA, M. 1996 The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field. Fluid Dyn. Res. 17, 293-310. (Pubitemid 126381845)
48. TUCKERMAN, L. & BARKLEY, D. 2011 Patterns and dynamics in transitional plane Couette flow. Phys. Fluids 23, 041301.
49. TSUKAHARA, T., SEKI, Y., KAWAMURA, H. & TOCHIO, D. 2005 DNS of turbulent channel flow at very low Reynolds numbers. In Proceedings of the 4th Intl Symposium on Turbulence and Shear Flow Phenomena, pp. 935-940.
50. TSUKAHARA, T., TILLMARK, N. & ALFREDSSON, P. H. 2010 Flow regimes in a plane Couette flow with system rotation. J. Fluid Mech. 648, 5-33.
51. VAN ATTA, C. W. 1966 Exploratory measurements in spiral turbulence. J. Fluid Mech. 25, 495-512.
52. WYGNANSKI, I. J. & CHAMPAGNE, F. H. 1973 On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59, 281-335.