Alternate scales for turbulent flow in transitional rough pipes: Universal log laws

Journal of Fluids Engineering, Transactions of the ASME

Volumn 129, Issue 1, 2007, Pages 80-90

  NoorAfzal, ^a   Seena, Abu ^a  

^a ALIGARH MUSLIM UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW MEASUREMENT; FLOW VELOCITY; FRICTION; PIPE; REYNOLDS NUMBER; SURFACE ROUGHNESS;

COLEBROOK MOODY ROUGHNESS; FRICTION FACTOR; PIPE ROUGHNESS;

TURBULENT FLOW;

EID: 34248178261     PISSN: 00982202     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2375129     Document Type: Article

References (52)

1. Millikan, C. B., 1938, "A Critical Discussion of Turbulent Flow in Channels and Circular Tubes," Proc. 5th Int. Cong. Appl. Mech. (Cambridge), J. P. den Hartog and H. Peters, eds., Wiley/Chapman and Hall. New York-London, pp. 386-392.
2. Raupach, M. R., Antonia, R. A., and Rajagopalan, S., 1991, "Rough-Wall Turbulent Boundary Layer," Adv. Appl. Mech., 44, pp. 1-25.
3. Jimenez, J., 2004, "Turbulent Flow Over Rough Walls," Annu. Rev. Fluid Mech., 36, pp. 173-196.
4. Clauser, F. H., 1954, "Turbulent Boundary Layers in Adverse Pressure Gradients," J. Aeronaut. Sci., 21, pp. 91-108.
5. Hama, F. R., 1954, "Boundary-Layer Characteristics for Rough and Smooth Surfaces," Trans Society of Naval Architecture and Marine Engineers, 62, pp. 333-351.
6. Abe, K., Matsumoto, A., Munakata, H., and Tani, I., 1990, "Drag Reduction by Sang Grain Roughness," In Structure of Turbulence and Drag Reduction, A. Gyr, ed., Springer-Verlag, Berlin, pp. 341-348.
7. Schlichting, H., 1968, Boundary Layer Theory, McGraw-Hill, New York, p. 505.
8. Grigson, C., 1992, "Drag Losses of New Ships Caused by Hull Finish," J. Ship Res., 36(2), pp. 182-196.
9. Patel, V. C., 1998, "Perspective: Flow at High Reynolds Number and Over Rough Surfaces: Achilles Heel of CFD," J. Fluids Eng., 120, pp. 434-444.
10. Krogstad, P.-A., Antonia, R. A., and Browne, L. W. B., 1992, "Comparison Between Rough- and Smooth-Wall Turbulent Boundary Layers," J. Fluid Mech., 245, pp. 599-617.
11. Antonia, R. A., and Krogstad, P.-A., 2001, "Turbulence Structure in Boundary Layer Over Different Types of Surface Roughness," Fluid Dyn. Res., 28, pp. 139-157.
12. Granville, P. S., 1987, "Three Indirect Methods for Drag Characterization of Arbitrary Rough Surfaces on Flat Plate," J. Ship Res., 31, pp. 70-77.
13. Schultz, M. P., and Myers, A., 2003, "Comparison of Three Roughness Function Determination Methods," Exp. Fluids, 35(4), pp. 372-379.
14. Nikuradse, J., 1933, "Laws of Flow in Rough Pipe," VI, Forchungsheft N-361, (English translation NACA TM 1292, 1950).
15. Streeter, V. L., 1936, "Frictional Resistance in Artificially Roughened Pipes," Trans. ASCE, 61, pp. 163-186.
16. Perry, A. E., and Abell, C. K., 1977, "Asymptotic Similarity of Turbulence Structures in Smooth and Rough Walled Pipes," J. Fluid Mech., 79, pp. 785-799.
17. Shockling, M. A., 2005, "Turbulent Flow in Rough Pipe," MSE thesis, Princeton University.
18. Shockling, M. A., Allen, J. J., and Smits, A. J., 2006, "Roughness Effects in Turbulent Pipe Flow," J. Fluid Mech., 564, pp. 267-285.
19. Smits, A. J., Shockling, M. A., and Allen, J. J., 2005, "Turbulent Flow in Smooth and Rough Pipes," Paper AIAA-2005-4807, 35th AIAA Fluid Dynamics Conference, June 6-9, Toronto, p. 9.
20. Colebrook, C. F., 1939, "Turbulent Flow in Pipes With Particular Reference to the Transition Region Between the Smooth and Rough Pipe Laws," J. Inst. Civ. Eng, 11, pp. 133-156.
21. Moody, L. F., 1944, "Friction Factors for Pipe Flow," Trans. ASME, 66, pp. 671-684.
22. Allen, J. J., Shockling, M. A., and Smits, A. J., 2005, "Evaluation of a Universal Transitional Resistance Diagram for Pipes With Honed Surfaces," Phys. Fluids, 17, pp. 121-702.
23. Eggels, J. G. M., Unger, F., Wiess, M. H., Westerweel, J., Adrian, R. J., Friedrich, R., and Nieuwstadt, F. T. M., 1994, "Fully Developed Turbulent Pipe Flow: A Comparison Between Direct Numerical Simulation and Experiments," J. Fluid Mech., 268, pp. 175-209.
24. Quadrio, M., and Luchini, P., 2004, "Direct Numerical Simulation of the Turbulent Flow in a Pipe With Annular Cross Section," Eur. J. Mech. B/Fluids, 21, pp. 413-427.
25. Abe, H., Kawamura, H., and Matsuo, Y., 2001, "Direct Numerical Simulation of a Fully Developed Turbulent Channel Flow With Respect to Reynolds Number," J. Fluids Eng., 123, pp. 382-393.
26. Leonardi, S., Orlandi, P., Smalley, R. J., Djenidi, L., and Antonia, R. A., 2003, "Direct Numerical Simulations of Turbulent Channel Flow With Transverse Square Bars on One Wall," J. Fluid Mech., 491, pp. 229-238.
27. Nagano, Y., Hattori, H., and Houra, T., 2004, "DNS of Velocity and Thermal Fields in Turbulent Channel Flow With Transverse Rib Roughness," Int. J. Heat Fluid Flow, 25, pp. 393-403.
28. Ashrafian, A., Andersson, H. I., and Manhart, M., 2004, "DNS of Turbulent Flow in a Rod-Roughened Channel," Int. J. Heat Fluid Flow, 25, pp. 373-383.
29. Krogstadt, P.-A., Anderson, H. I., Bakken, O. M., and Ashrafian, A., 2005, "An Experimental and Numerical Study of Channel Flow With Rough Walls," J. Fluid Mech., 530, pp. 327-352.
30. Djendi, L., Elavarasan, R., and Antonoa, R. A., 1999, "The Turbulent Boundary Layer Over Transverse Square Cavities," J. Fluid Mech., 395, pp. 271-294.
31. Bakken, O. M., Krogstad, P. A., Ashrafian, A., and Andersson, H. I., 2005, "Reynolds Number Effects in the Outer Layer of the Turbulent Flow in a Channel With Rough Walls," Phys. Fluids, 17, pp. 1-16.
32. Afzal, N., Seena, A., and Bushra, A., 2006, "Power Law Turbulent Velocity Profile in Transitional Rough Pipes," J. Fluids Eng., 128, pp. 548-558.
33. Afzal, N., 2005, "Scaling of Power Law Velocity Profile in Wall-bounded Turbulent Shear Flows." Paper No. AIAA-2005-0109, 43rd AIAA Aerospace Sciences Meeting and Exhibit, Jan. 10-13, Reno, NV, p. 11.
34. Afzal, N., 2005, "Analysis of Power Law and Log Law Velocity Profiles in Overlap Region of a Turbulent Wall Jet," Proc. R. Soc. London, Ser. A, 46, pp. 1889-1910.
35. Afzal, N., 1976, "Millikan Argument at Moderately Large Reynolds Numbers," Phys. Fluids, 19, pp. 600-602.
36. Coles, D., 1969, "The Young Person Guide to the Data," In Proc. Computations of Turbulent Boundary Layer, 1968-AFOSR-IFP-Stanford Conference, II, pp. 1-46.
37. Prandtl, L., 1935, "The Mechanics of Viscous Fluids," Aerodynamic Theory, III, W. F. Durand, ed., Springer Verlag, Berlin, pp. 34-208.
38. McKeon, B. J., Zagarola, M. V., and Smits, A. J., 2005, "A New Friction Factor Relationship for Fully Developed Pipe Flow," J. Fluid Mech., 538, pp. 429-443.
39. Zagarola, M. V., and Smits, A. J., 1998, "Mean Flow Scaling in Turbulent Pipe Flow," J. Fluid Mech., 373, pp. 33-79.
40. Bendrict, R., Fundamentals of Pipe Flow, Wiley, New York, p. 240.
41. Cebeci, T., 2004, Analysis of Turbulent Flows, Elsevier, New York, p. 114.
42. Flack, K. A., Schultz, M. P., and Shapiro, T. A., 2005, "Experimental Support for Townsend's Reynolds Number Similarity Hypothesis on Rough Walls," Phys. Fluids, 17, pp. 035102-1-035102-12.
43. Connelly, J. S., Schultz, M. P., and Flack, K. A., 2006, "Velocity-Defect Scaling for Turbulent Boundary Layers With a Range of Relative Roughness," Exp. Fluids, 40, pp. 188-195.
44. McKeon, B. J., 2003, "High Reynolds Number Turbulent Pipe Flow," Ph.D. thesis, Princeton University.
45. McKeon, B. J., Swanson, C. J., Zagarola, M. V., Donnelly, R. J., and Smits, A. J., 2004, "Friction Factor for Smooth Pipe Flow," J. Fluid Mech., 511, pp. 41-44.
46. Patel, V. C., and Head, M. R., 1969, "Some Observations on Skin Friction and Velocity Profile in Fully Developed Pipe and Channel Flow," J. Fluid Mech., 38, pp. 181-201.
47. Blasius, H., 1912, "Das Aehnlichkeitsgesetz bei Reibungsvorgngen, " Z. Ver. Dtsch. Ing., 56(16), pp. 639-643.
48. Afzal, N., 2006, "Friction Factor for Transitional Rough Pipes." (unpublished).
49. Afzal, N., and Yajnik, K., 1973, "Analysis of Turbulent Pipe and Channel Flows at Moderately Large Reynolds Number," J. Fluid Mech., 61, pp. 23-31.
50. Afzal, N., 1982, "Fully Developed Turbulent Flow in a Pipe: An Intermediate Layer," Ing.-Arch., 53, pp. 355-377.
51. Zanoun, E. S., 2003, "Answer to Some Open Questions in Wall-Bounded Laminar and Turbulent Flows," Doctor-Ingeniur, University of Erlangen-Nurnberg.
52. τ= 1020 with Pr=0.025 and 0.71," Int. J. Heat Fluid Flow, 25, pp. 404-419.