Scaling of normalized mean energy and scalar dissipation rates in a turbulent channel flow

Physics of Fluids

Volumn 23, Issue 5, 2011, Pages

  Abe, Hiroyuki ^a,b   Antonia, Robert Anthony ^a  

^a JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; CHANNEL FLOW; COMPUTATIONAL FLUID DYNAMICS; ENERGY DISSIPATION; KINETIC ENERGY; KINETICS; REYNOLDS NUMBER; TURBULENCE MODELS; TURBULENT FLOW;

EDDY-DIFFUSIVITY MODELS; HOMOGENEOUS ISOTROPIC TURBULENCE; NON-DIMENSIONAL PARAMETERS; SCALAR DISSIPATION RATE; TAYLOR-MICROSCALE REYNOLDS NUMBER; TURBULENT BOUNDARY LAYERS; TURBULENT CHANNEL FLOWS; TURBULENT KINETIC ENERGY;

ATMOSPHERIC THERMODYNAMICS;

EID: 79957862809     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3584124     Document Type: Article

References (54)

1. Taylor G.I. Statistical theory of turbulence. Proc. R. Soc. London, Ser. A 1935, 151:421. 10.1098/rspa.1935.0158, ",".
2. Kolmogorov A.N. Kolmogorov A.N. Dissipation of energy in the locally isotropic turbulence. Proc. R. Soc. London, Ser. A 1991, 434:15. 10.1098/rspa.1991.0076, "," , [reprinted in ].
3. Sreenivasan K.R. Antonia R.A. The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 1997, 29:435. 10.1146/annurev.fluid.29.1.435, and ",".
4. Pearson B.R. Yousef T.A. Haugen N.E. L. Brandenburg A. Krogstad P. The 'zeroth law' of turbulence in steady isotropic turbulence. 15th Australasian Fluid Mechanics Conference 2004, M. Behnia, W. Lin, G. D. McBain, and "," in edited by and (The University of Sydney, Australia, ), paper N. AFMC00040.
5. Batchelor G.K. The Theory of Homogeneous Turbulence 1953, (Cambridge University Press, Cambridge, England, ).
6. Sreenivasan K.R. On the scaling of the turbulence energy dissipation rate. Phys. Fluids 1984, 27:1048. 10.1063/1.864731, ",".
7. Sreenivasan K.R. The energy dissipation in turbulent shear flows. Symposium on Developments in Fluid Dynamics and Aerospace Engineering 1995, 159-190. S. M. Deshpande, A. Prabhu, K. R. Sreenivasan, P. R. Viswanath, "," in edited by and (Interline, Bangalore, India, ), pp.
8. Sreenivasan K.R. An update on the energy dissipation rate in isotropic turbulence. Phys. Fluids 1998, 10:528. 10.1063/1.869575, ",".
9. Lumley J.L. Some comments on turbulence. Phys. Fluids 1992, A4(2):203. 10.1063/1.858347, ",".
10. Frisch U. Turbulent Flows 1995, (Cambridge University Press, Cambridge, England, ).
11. Kaneda Y. Ishihara T. Yokokawa M. Itakura K. Uno A. Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box. Phys. Fluids 2003, 15:L21. 10.1063/1.1539855, and ",".
12. Antonia R.A. Zhou T. Romano G. Small-scale turbulence characteristics of two-dimensional bluff body wakes. J. Fluid Mech. 2002, 459:67. 10.1017/S0022112002007942, and ",".
13. Antonia R.A. Pearson B. Effect of initial conditions on the mean energy dissipation rate and the scaling exponent. Phys. Rev. E 2000, 62:8086. 10.1103/PhysRevE.62.8086, and ",".
14. Burattini P. Lavoie P. Antonia R.A. On the normalized turbulent energy dissipation rate. Phys. Fluids 2005, 17:098103. 10.1063/1.2055529, and ",".
15. Goto S. Vassilicos J.C. The dissipation rate coefficient of turbulence is not universal and depends on the internal stagnation point structure. Phys. Fluids 2009, 21:035104. 10.1063/1.3085721, and ",".
16. Xu G. Antonia R.A. Rajagopalan S. Scaling of mean temperature dissipation rate. Phys. Fluids 2000, 12:3090. 10.1063/1.1312851, and ",".
17. Watanabe T. Gotoh T. Inertial-range intermittency and accuracy of direct numerical simulation for turbulence and passive scalar turbulence. New J. Phys. 2004, 6:1. 10.1088/1367-2630/6/1/040, and ",".
18. Donzis D.A. Sreenivasan K.R. Yeung P.K. Scalar dissipation rate and dissipative anomaly in isotropic turbulence. J. Fluid Mech. 2005, 532:199. 10.1017/S0022112005004039, and ",".
19. McKeon B.J. Morrison J.F. Asymptotic scaling in turbulent pipe flow. Philos. Trans. R. Soc. London, Ser. A 2007, 365:771. 10.1098/rsta.2006.1945, and ",".
20. Nagano Y. Kim C. A two-equation model for heat transport in wall turbulent shear flows. ASME J. Heat Transfer 1988, 110:583. 10.1115/1.3250532, and ",".
21. Yoshizawa A. Statistical modelling of passive-scalar diffusion in turbulent shear flows. J. Fluid Mech. 1988, 195:541. 10.1017/S0022112088002514, ",".
22. Hoyas S. Jiménez J. Reynolds number effects on the Reynolds-stress budgets in turbulent channels. Phys. Fluids 2008, 20:101511. 10.1063/1.3005862, and ",".
23. Kim J. Antonia R.A. Isotropy of the small scales of turbulence at low Reynolds number. J. Fluid Mech. 1993, 251:219. 10.1017/S0022112093003398, and ",".
24. Antonia R.A. Kim J. A numerical study of local isotropy of turbulence. Phys. Fluids 1994, 6(2):834. 10.1063/1.868321, and ",".
25. Blackburn H.M. Mansour N.N. Cantwell B.J. Topology of fine-scale motions in turbulent channel flow. J. Fluid Mech. 1996, 310:269. 10.1017/S0022112096001802, and ",".
26. Abe H. Antonia R.A. Kawamura H. Correlation between small-scale velocity and scalar fluctuations in a turbulent channel flow. J. Fluid Mech. 2009, 627:1. 10.1017/S0022112008005569, and ",".
27. Antonia R.A. Abe H. Kawamura H. Analogy between velocity and scalar fields in a turbulent channel flow. J. Fluid Mech. 2009, 628:241. 10.1017/S0022112009006181, and ",".
28. Abe H. Kawamura H. Matsuo Y. Surface heat-flux fluctuations in a turbulent channel flow up to Reτ= 1020 with Pr = 0.025 and 0.71. Int. J. Heat Fluid Flow 2004, 25:404. 10.1016/j.ijheatfluidflow.2004.02.010, and ",".
29. Kasagi N. Tomita Y. Kuroda A. Direct numerical simulation of passive scalar field in a turbulent channel flow. ASME J. Heat Transfer 1992, 114:598. 10.1115/1.2911323, and ",".
30. Kim J. Moin P. Transport of passive scalars in a turbulent channel flow. Turbulent Shear Flows 1989, 6:85-96. J.-C. André, J. Cousteix, F. Durst, B. E. Launder, F. W. Schmidt, J. H. Whitelaw, and "," in edited by and (Springer-Verlag, Berlin, Germany, ), Vol. pp.
31. Hu Z.W. Morfey C.L. Sandham N.D. Wall pressure and shear stress spectra from direct numerical simulations of channel flow. AIAA J. 2006, 44(7):1541. 10.2514/1.17638, and ",".
32. Spalart P.R. Direct simulation of a turbulent boundary layer up to Rθ = 1410. J. Fluid Mech. 1988, 187:61. 10.1017/S0022112088000345, ",".
33. Simens M.P. Jiménez J. Hoyas S. Mizuno Y. A high-resolution code for turbulent boundary layers. J. Comp. Phys. 2009, 228:4218. 10.1016/j.jcp.2009.02.031, and ",".
34. Schlatter P. Örlü R. Li Q. Brethouwer G. Fransson J.H. M. Johansson A.V. Alfredsson P.H. Henningson D.S. Turbulent boundary layers up to Reθ = 2500 studied through simulation and experiment. Phys. Fluids 2009, 21:051702. 10.1063/1.3139294, and ",".
35. Comte-Bellot G. Contribution ál'étude de la turbulence de conduite. 1963, "," Ph. D. thesis (University of Grenoble, France, ) (trans. P. Bradshaw ARC 31 609 FM 4102, 1969).
36. Hutchins N. Marusic I. Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 2007, 579:1. 10.1017/S0022112006003946, and ",".
37. Monty J.P. Chong M.S. Turbulent channel flow: Comparison of streamwise velocity data from experiments and direct numerical simulation. J. Fluid Mech. 2009, 633:461. 10.1017/S0022112009007769, and ",".
38. Bradshaw P. The turbulence structure of equilibrium boundary layers. J. Fluid Mech. 1967, 29:625. 10.1017/S0022112067001089, ",".
39. Kasagi N. Ohtsubo Y. Direct numerical simulation of low Prandtl number thermal field in a turbulent channel flow. Turbulent Shear Flows 1993, 8:97-119. F. Durst, R. Friedrich, B. E. Launder, F. W. Schmidt, U. Schumann, J. H. Whitelaw, and "," in edited by and (Springer, Berlin, Germany, ), Vol. pp.
40. Kawamura H. Ohsaka K. Abe H. Yamamoto K. DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid. Int. J. Heat Fluid Flow 1998, 19:482. 10.1016/S0142-727X(98)10026-7, and ",".
41. Kawamura H. Abe H. Matsuo Y. DNS of turbulent heat transfer in channel flow with respect to Reynolds and Prandtl number effects. Int. J. Heat Fluid Flow 1999, 20:196. 10.1016/S0142-727X(99)00014-4, and ",".
42. Schwertfirm F. Manhart M. DNS of passive scalar transport in turbulent channel flow at high Schmidt numbers. Int. J. Heat Fluid Flow 2007, 28:1204. 10.1016/j.ijheatfluidflow.2007.05.012, and ",".
43. Kozuka M. Seki Y. Kawamura H. DNS of turbulent heat transfer in a channel flow with a high spatial resolution. Int. J. Heat Fluid Flow 2009, 30:514. 10.1016/j.ijheatfluidflow.2009.02.023, and ",".
44. Pope S.B. Consistent modeling of scalars in turbulent flows. Phys. Fluids 1983, 26:404. 10.1063/1.864151, ",".
45. Wei T. Willmarth W.W. Reynolds-number effects on the structure of a turbulent channel flow. J. Fluid Mech. 1989, 204:57. 10.1017/S0022112089001667, and ",".
46. Balakumar B.J. Adrian R.J. Large- and very-large-scale motions in channel and boundary-layer flows. Philos. Trans. R. Soc. London 2007, 365:665. 10.1098/rsta.2006.1940, and ",".
47. Monty J.P. Developments in smooth wall turbulent duct flows. 2005, "," Ph. D. thesis (University of Melbourne, Australia, ).
48. Hutchins N. Nickels T.B. Marusic I. Chong M.S. Hot-wire spatial resolution issues in wall-bounded turbulence. J. Fluid Mech. 2009, 635:103. 10.1017/S0022112009007721, and ",".
49. Saddoughi S.G. Veeravalli S.V. Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech. 1994, 268:333. 10.1017/S0022112094001370, and ",".
50. Iwamoto K. Suzuki Y. Kasagi N. Reynolds number effect on wall turbulence: Toward effective feedback control. Int. J. Heat Fluid Flow 2002, 23:678. 10.1016/S0142-727X(02)00164-9, and ",".
51. Jiménez J. Hoyas S. Turbulent fluctuations above the buffer layer of wall-bounded flows. J. Fluid Mech. 2008, 611:215. and ",".
52. Nagib H.M. Chauhan K.A. Variations of von Kármán coefficient in canonical flows. Phys. Fluids 2008, 20:101518. 10.1063/1.3006423, and ",".
53. Marusic I. McKeon B.J. Monkewitz P.A. Nagib H.M. Smits A.J. Sreenivasan K.R. Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues. Phys. Fluids 2010, 22:065103. 10.1063/1.3453711, and ",".
54. Monty J.P. Hutchins N. Ng H.C. H. Marusic I. Chong M.S. A comparison of turbulent pipe, channel and boundary layer flows. J. Fluid Mech. 2009, 632:431. 10.1017/S0022112009007423, and ",".