Multiscaling in the presence of indeterminacy: Wall-induced turbulence

Multiscale Modeling and Simulation

Volumn 4, Issue 3, 2005, Pages 936-959

  Fife, P ^a   Klewicki, J ^b   Mcmurtry, P ^b   Wei, T ^c  

^a UNIVERSITY OF UTAH   (United States)

^b Department of Electrical and Computer Engineering   (United States)

^c The Pennsylvania State University   (United States)

Author keywords

Couette flow; Multiscaling; Poiseuille flow; Turbulence; Turbulent wall layers

Indexed keywords

CHANNEL FLOW; INCOMPRESSIBLE FLOW; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; STEADY FLOW; WALL FLOW;

COUETTE FLOW; MULTISCALING; POISEUILLE FLOW; TURBULENT WALL LAYERS;

TURBULENT FLOW;

EID: 33748421511     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/040611173     Document Type: Article

References (27)

1. R. J. Adrian, C. D. Meinhart, and C. D. Tomkins, Vortex organization in the outer region of the turbulent boundary layer, J. Fluid Mech., 422 (2000), pp. 1-54.
2. G. I. Barenblatt, and A. J. Chorin, New perspectives in turbulence: Scaling laws, asymptotics, and intermittency, SIAM Rev., 40 (1998), pp. 265-291.
3. G. I. Barenblatt, and A. J. Chorin, A mathematical model for the scaling of turbulence, Proc. Natl. Acad. Sci. USA, 101 (2004), pp. 15023-15026.
4. G. I. Barenblatt, A. J. Chorin, and V. M. Prostokishin, A model of a turbulent boundary layer with a nonzero pressure gradient, Proc. Natl. Acad. Sci. USA, 99 (2002), pp. 5772-5776.
5. K. H. Bech, N. Tillmark, P. H. Alfredsson, and H. I. Andersson, An investigation of turbulent plane Couette flow at low Reynolds numbers, J. Fluid Mech., 304 (1995), pp. 285-319.
6. K. T. Christensen and R. J. Adrian, Statistical evidence of hairpin vortex packets in wall turbulence, J. Fluid Mech., 431 (2001), pp. 433-443.
7. P. Fife, T. Wei, J. Klewicki, and P. McMurtry, Stress gradient balance layers and scale hierarchies in wall-bounded turbulent flows, J. Fluid Mech., 532 (2005), pp. 165-189.
8. B. Ganapathisubramani, E. K. Longmire, and I. Marusic, Characteristics of vortex packets in turbulent boundary layers, J. Fluid Mech., 478 (2003), pp. 35-46.
9. A. E. Gill, The Reynolds number similarity argument, Journal of Mathematics and Physics, 47 (1968), pp. 437-441.
10. K. Iwamoto, Y. Suzuki, and N. Kasagi, Reynolds number effect on wall turbulence: Toward effective feedback control, Int. J. Heat and Fluid Flow, 23 (2002), pp. 678-689.
11. A. Izakson, On the formula for the velocity distribution near walls, Tech. Phys. U. S. S. R., 4 (1937), pp. 155-162.
12. T. von Karman, Mechanische Ahnlichkeit und Turbulenz, Nachr. Ges. Wiss. Göttingen Math-Phys. Klasse 68, Vandenhoeck and Ruprecht, Göttingen, Germany, 1930, pp. 58-76.
13. H. Kawamura, H. Abe, and K. Shingai, DNS of turbulence and heat transport in a channel flow with different Reynolds and Prandtl numbers and boundary conditions, in Turbulence, Heat and Mass Transfer 3, Y. Nagano, K. Hanjalic, and T. Tsuji, eds., Aichi Shuppan, Tokyo, Japan, 2000, pp. 15-32.
14. B. J. McKeon, J. F. Morrison, J. Li, W. Jiang, and A. J. Smits, Further observations on the mean velocity in fully-developed pipe flow, J. Fluid Mech., 501 (2004), pp. 135-147.
15. C. D. Meinhart, and R. J. Adrian, On the existence of uniform momentum zone in a turbulent boundary layer, Phys. Fluids, 7 (1994), pp. 694-696.
16. M. Metzger and P. Fife, Scaling properties of turbulent boundary layers with favorable pressure gradient, manuscript.
17. C. B. Millikan, A critical discussion of turbulent flows in channels and circular tubes, in Proceedings of the Fifth International Congress of Applied Mechanics, Wiley, New York, 1939, pp. 386-392.
18. M. Oberlack, A unified approach for symmetries in plane parallel turbulent shear flows, J. Fluid Mech., 427 (2001), pp. 299-328.
19. R. Panton, Review of wall turbulence as described by composite expansions, Appl. Mech. Rev., 58 (2005), pp. 1-36.
20. L. Prandtl, Bericht über die Entstehung der Turbulenz, Z. Angew. Math. Mech., 5 (1925), pp. 136-139.
21. K. Shingai, H. Kawamura, and Y. Matsuo, DNS of turbulent Couette flow and its comparison with turbulent Poiseuille flow, in Advances in Turbulence 8, C. Dopazo et al., eds., CIMNE, Barcelona, Spain, 2000, p. 972.
22. H. Tennekes and J. Lumley, A First Course in Turbulence, MIT Press, Cambridge, MA, 1972.
23. C. D. Tomkins and R. J. Adrian, Spanwise structure and scale growth in turbulent boundary layers, J. Fluid Mech., 490 (2003), pp. 37-74.
24. A. A. Townsend, The Structure of Turbulent Shear Flow, Cambridge University Press, Cambridge, UK, 1976.
25. T. Wei and W. Willmarth, Reynolds-number effects on the structure of a turbulent channel flow, J. Fluid, Mech., 204 (1989), pp. 57-95.
26. T. Wei, P. Fife, J. Klewicki, and P. McMurtry, Properties of the mean momentum balance in turbulent boundary layer, pipe, and channel flows, J. Fluid Mech., 522 (2005), pp. 303-327.
27. T. Wei, P. Fife, J. Klewicki, and P. McMurtry, Scaling heat transfer in fully developed turbulent channel flow, Int. J. Heat Mass Transfer, to appear.