Scaling of power law velocity profile in wall-bounded turbulent shear flows

43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers

Volumn , Issue , 2005, Pages 10067-10078

  Afzal, Noor ^a,b  

^a ALIGARH MUSLIM UNIVERSITY   (India)

^b Department of Mechanical Engineering ^*  (India)

Author keywords

[No Author keywords available]

Indexed keywords

PIPE FLOW; PRESSURE EFFECTS; REYNOLDS NUMBER; SHEAR FLOW; VELOCITY CONTROL;

POWER LAW; POWER LAW INDEX; PRESSURE GRADIENT; VELOCITY PROFILE;

TURBULENT FLOW;

EID: 30744477730     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-109     Document Type: Conference Paper

References (45)

1. Nikuradse, J., "Laws of turbulent flow in smooth pipes" VDI, Forschungsheft N-356 1932.
2. Duncan, W.J., Thorn, A.S. & Young, A.D, Mechanics of Fluids. ELBS Edward Arnold, 1967.
3. Schlichting, H., Boundary layer theory. Mc-Graw Hill, New York, 1968.
4. Barenblatt, G.I., "Scaling laws for fully developed turbulent shear flows, Part I : Basic hypothesis and analysis. J. Fluid Mech. Vol. 248, 1993, pp. 513-520.
5. Barenblatt, G. I. Chorin A. J. and Prostokishin V.M., "Scaling laws for fully developed turbulent flow in pipes". Applied Mechanics Reviews Vol 90, 1997, pp. 413-429.
6. Kailasnath, P., Reynolds number effect and the momentum flux in turbulent boundary layer. PhD Thesis, Mason Lab., Yale University, 1993.
7. Zagarola, M. Perry A.E. & Smits A.J., "Log laws or power laws : The scaling in overlap region". Physics of Fluids Vol. 9, 1997, pp. 2094-2100.
8. Zagarola, M.V. & Smits, A.J., "Mean flow scaling in turbulent pipe flow". J. Fluid Mech. Vol. 373, 1998, pp 33-79.
9. Afzal, N., "Power law in wall and wake layers of a turbulent boundary layer". Proc. Seventh Asian Congress of Fluid Mechanics. Allied Publishers New Delhi, pp 805-808, 1997.
10. Afzal, N., "Power law and log law velocity profiles in turbulent boundary layer flow: equivalent relations at large Reynolds numbers," Acta Mechanica Vol. 151, 2001, pp. 195-216.
11. Panton, R. L., "Review of wall turbulence as described by composite expansions," Applied Mech. Rev 2005
12. Yaglom, A. Y., "The century of turbulence theory: The main achievements and unsolved problems," In New Trends in Turbulence Ed: Lesieur et al, Vol 74, Les Houches Series, France 2000.
13. Narasimha, R., "Different approaches to asymptotic expansions of turbulent boundary layer." 'Asymptotic methods for turbulent shear flows at high Reynolds numbers', Ed: Gersten, pp 5-16. Kluwer Academic Pub. 1996.
14. Prandtl, L., In Aerodynamic Theory, Vol 3 (Ed. W.F. Durand), pp 34-208, 1935.
15. Barenblatt, G. I, Chorin A.J. and Prostokishin V.M., "Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers," J. Fluid Mech. Vol. 410, 2000, pp. 263-283.
16. Panton, R. L., "Evaluation of the Barenblatt-Chorin-Prostokishin power law for turbulent boundary layers," Physics Fluids Vol. 14, 2002, pp. 1806-1808.
17. Osterlund, J.M., Experimental studies of zero pressure gradient turbulent boundary layer. PhD Thesis, Royal Institute of Technology, Stockholm 1999.
18. Buschmann, M. H. and Gad-el-Hak, M., "The debate concerning the mean velocity profile of a turbulent boundary layer", AIAA Journal Vol 41(4), 2003, pp. 565-572.
19. Buschmann, M. H. and Gad-el-Hak M., "Comment on "Evaluating the law of the wall in two-dimensional fully developed turbulent channel flows" [Phys. Fluids 15, 3079 (2003)]", Phys. Fluids Vol.16, 2004, pp. 3507-08.
20. George, W., Castillo, L. & Knecht, P., The zero pressure gradient turbulent boundary layer. Technical Report TRL-153 Turb. Res. Lab., State University of New York at Buffalo, 1996.
21. George, W. and Castillo. L., "Zero pressure gradient turbulent boundary layer", Applied Mechanics Reviews Vol. 50, 1997, pp. 689-729.
22. George, W., Abrahamsson, H., Eriksson, J., Karlsson, R. L., Lofdahl, L., and Wosnik, M., "A similarity theory for the turbulent plane wall jet without external stream", J. Fluid Mech. Vol. 425, 2000, pp. 367-411.
23. Wosnik M., Castillo L. & George W., "A theory of turbulent pipe and channel flows", J. Fluid Mech. Vol. 421, 2000, pp 115-145.
24. Izakson, A.A., "On formula for the velocity distribution near walls", Tech. Phys, USSR Vol 4, 1937, pp 155-9.
25. Millikan, C.B., A Critical discussion of turbulent flow in Channels and Circular tubes. Proc. 5th Int. Cong. Appl. Mech. pp 386-392, 1938.
26. Afzal, N., "Millikan argument at moderately large Reynolds numbers", Phy. Fluids Vol. 19, 1976, pp. 600-2.
27. Afzal, N., "Fully developed turbulent flow in a pipe: An intermediate layer"' Ingenieur-Archiv Vol. 53, 1982, pp. 355-377.
28. Afzal, N., "Wake layer in turbulent boundary layer with pressure gradient: A new approach. INVITED LECTURE in Asymptotic methods for turbulent shear flows at high Reynolds numbers (Ed. K. Gersten), pp 95-118. Kluwer Academic Publisher, Dordrecht, 1996.
29. Afzal, N., "Analysis of power law and log law velocity profiles in overlap region of a turbulent wall jet.Proc. Royal Society A: Phy., Math. & Engg. Sci. 2005, (To be published).
30. Afzal, N., "Outer non-linear wake layer in turbulent boundary layers & Izakson-Millikan overlap domain: power law and log law solutions". Invited Lecture, Proc. of the 'Second International Workshop on Wall-Bounded Turbulent Flows', by H Nagib & A.J. Smits, from 2-5 November 2004, the Abdus Salam International Center for Theoretical Physics, Trieste, Italy, 2004.
31. Clauser, F.H., "The turbulent boundary layer", Advances in Applied Mechanics. Vol 4, pp 2-52. Academic Press New York, 1956.
32. Coles, D., "The law of the wake in the turbulent boundary layer", J. Fluid Mech. Vol. 1, 1956, pp. 191-226
33. Buschmann M. H. and Gad-el-Hak, M., "Generalized logarithmic law and its consequences", AIAA Journal Vol 41 (1), 2003, pp 40-48.
34. Balachandar, R., Blakely, D. & Bugg, J., "Friction factor and power law velocity profile in smooth and rough shallow open chanel flow," Cand J. Civil Engg. Vol 29, 2002, pp. 256-266.
35. Kotey. N. A., Bergstrom, D. J. and Tachie, T. F., "Power law for rough wall turbulent boundary layer". Phy Fluids Vol. 15, 2003, pp. 1396-1404.
36. Afzal, N., "Analysis of a turbulent boundary layer subjected to a strong adverse pressure gradient," International Journal of Engineering Sciences. Vol. 21, 1983, pp. 563-576.
37. Townsend, A. A., "The development of turbulent boundary layers with negligible wall stress", J Fluid Mech Vol 8, 1960, pp. 143-155.
38. Nagib, H. M., Christophorou, C. and Monkewitz, P. A., "High Reynolds number turbulent boundary layers subjected to various pressure gradients'" 100 Years of Boundary Layer Research. IUTAM Symposium, Aug 12-15, DLR Gottingen, Germany, 2004.
39. Ateser, H. C. E. & Koru, H., "The power law and the logarithmic potentials'" J. Phy A: Math. Gen. Vol. 36, 2003, pp. 2821-28
40. Castillo, L., Seo, J., Hangen, H. & Johansson, T. G., "Smooth and rough wall turbulent boundary layer at high Reynolds numbers,". Exp Fluids Vol. 36, 2004, pp. 759-774.
41. Song, S. & Eaton, K., "Reynolds number effects on a turbulent boundary layer with separation, reattachment, and recovery. Experiments in Fluids Vol. 36, 2004, pp. 246-258.
42. Afzal, N. and Yajnik, K., "Analysis of turbulent pipe and channel flows at moderately large Reynolds number". J. Fluid Mech. Vol. 61, 1973, pp. 23-31.
43. Barenblatt, G. I, Chorin A.J. and Prostokishin V. M., "A model of a turbulent boundary layer with a nonzero pressure gradient'" Proc. Nat. Acad. Sci. Vol. 99, 2002, pp. 5772-8.
44. Zanoun, E. S., Durst, F. & Nagib, H., "Evaluating the log law of the wall in two-dimensional fully developed turbulent channel flows," Phy. Fluids Vol. 15(10), 2000, pp. 3079-3089.
45. Nagib, H. M., Christophorou, C., Reudi, J.D., Monkewitz, P. A., Osterlund, J. & Gravante, S., "Can we ever rely on results from wall-bounded turbulent flows without direct measurements of wall shear stress", Paper AIAA-2004-2392 in 24 AIAA Aerodynamics Measurement Technology and Ground Testing Conference, 28 June -1 July 2004, Portland OR, 2004.