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Discussion

Discussions: (1) “On the Axisymmetric Turbulent Boundary Layer Growth Along Long Thin Circular Cylinders,” (Jordan, S. A., 2014, ASME J. Fluids Eng., 136(5), p. 051202) and (2) “Understanding Tow Tank Measurements of Total Drag for Long Thin Circular Cylinders,” (Jordan, S. A., 2014, ASME J. Fluids Eng., 136(3), p. 031205)

[+] Author and Article Information
Noor Afzal

Embassy Hotel,
Rasal Ganj,
Aligarh 202001, India
e-mail: noor.afzal@yahoo.com

Abu Seena

Samsung C&T Headquarters,
Seocho-2-dong, SeoCho-Gu,
Seoul 137-956, Korea
e-mail: abu.seena15@gmail.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 28, 2014; final manuscript received July 5, 2014; published online January 6, 2015. Assoc. Editor: Sharath S. Girimaji.

J. Fluids Eng 137(3), 035501 (Mar 01, 2015) (3 pages) Paper No: FE-14-1156; doi: 10.1115/1.4029329 History: Received March 28, 2014; Revised July 05, 2014; Online January 06, 2015

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References

Jordan, S. A., 2014, “On the Axisymmetric Turbulent Boundary Layer Growth Along Long Thin Circular Cylinders,” ASME J. Fluids Eng., 136(5), p. 051202. [CrossRef]
Lueptow, M. R., Leehey, P., and Stellinger, T., 1985, “The Thick Turbulent Boundary Layer on a Cylinder: Mean and Fluctuating Velocities,” Phys. Fluids, 28(12), pp. 3495–3505. [CrossRef]
Afzal, N., and Singh, K. P., 1976, “Measurements in an Axisymmetric Turbulent Boundary Layer Along a Circular Cylinder,” Aeronaut. Q., 27, pp. 217–228.
Lueptow, R., 1988, “Turbulent Boundary Layer on a Cylinder in Axial Flow,” NUSC Technical Report 8389, Sept. 29, Naval Underwater Systems Center Newport, Rhode Island/New London, CT, Report No. AD-A201-102.
Rao, G. N. V., and Keshavan, N. R., 1972, “Axisymmetric Turbulent Boundary Layers in Zero Pressure-Gradient Flows,” ASME J. Appl. Mech., 39(1), pp. 25–32. [CrossRef]
Jordan, S. A., 2014, “Understanding Tow Tank Measurements of Total Drag for Long Thin Circular Cylinders,” ASME J. Fluids Eng., 136(3), p. 031205. [CrossRef]
Glauert, M. B., and Lighthill, M. J., 1955, “The Axisymmetric Boundary Layer on a Long Thin Cylinder,” Proc. R. Soc. London, Ser. A, 230(1181), pp. 188–203. [CrossRef]
Jordan, S. A., 2013, “A Skin Friction Model for Axisymmetric Turbulent Boundary Layers,” Phys. Fluids, 25(7), p. 075104. [CrossRef]
Monte, S., Sagaut, P., and Gomez, T., 2011, “Analysis of Turbulent Skin Friction Generated in Flow Along a Cylinder,” Phys. Fluids, 23(6), p. 065106. [CrossRef]
Afzal, N., and Narasimha, R., 1976, “Axisymmetric Turbulent Boundary Layers Along a Circular Cylinder With Constant Pressure,” J. Fluid Mech., 74(1), pp. 113–129. [CrossRef]
Afzal, N., and Narasimha, R., 1985, “Axially Symmetric Turbulent Boundary Layers,” AIAA J., 23(6), pp. 963–965. [CrossRef]
Granville, P. S., 1987, “Mixing Length of Eddy Viscosities for Axisymmetric Turbulent Boundary Layer Near the Wall,” J. Ship Res., 31(3), pp. 207–216.
Denli, N., and Landweber, L., 1979, “Thick Axisymmetric Turbulent Boundary Along a Circular cylinder,” J. Hydronautics, 13(3), pp. 92–104. [CrossRef]
Piquet, J., and Patel, V. C., 1999, “Transverse Curvature Effects in Turbulent Boundary Layer,” Prog. Aerosp. Sci., 35(7), pp. 661–672. [CrossRef]
Luxton, R. E., Bull, M. K., and Rajagopalan, S., 1984, “The Thick Turbulent Boundary Layer on a Long Fine Cylinder in Axial Flow,” Aeronaut. J., 88, pp. 186–199.
Willmarth, W. W., Winkel, R. E., Sharma, L. K., and Bogar, T. J., 1976, “Axially Symmetric Turbulent Boundary Layers on Cylinders; Mean Velocities Profiles and Wall Pressure Fluctuations,” J. Fluid Mech., 76(1), pp. 35–64. [CrossRef]
Coles, D., 1956, “The Law of the Wake in the Turbulent Boundary Layer,” J. Fluid Mech., 1(2), pp. 191–226. [CrossRef]
Afzal, N., and Yajnik, K., 1973, “Analysis of Turbulent Pipe and Channel Flows at Moderately Large Reynolds Number,” J. Fluid Mech., 66(1), pp. 23–31. [CrossRef]
Willmarth, W. W., and Yang, C. S., 1970, “Wall Pressure Fluctuations Beneath Turbulent Boundary Layers on a Flat Plate and a Cylinder,” J. Fluid Mech., 41(1), pp. 47–80. [CrossRef]
Richmond, R. L., 1957, “Experimental Investigation of Thick Axially Symmetric Layers on Cylinders at Subsonic and Hypersonic Speeds,” Ph.D. dissertation, California Institute of Technology, Pasadena, CA.
Yu, Y. S., 1958, “Effect of Transverse Curvature on Turbulent Boundary Layer Characteristics,” J. Ship Res., 2, pp. 33–51.
Krane, M. H., Grega, L. M., and Wei, T., 2010, “Structure of the Near-Wall Region of a Boundary Layer over a Wall With Large Transverse Curvature,” J. Fluid Mech., 664, pp. 33–50. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Comparisons between experimental measurements and prediction (1) of Afzal and Singh [3]—δ/a=0.045(x/a)0.746 for Rea=14,200 and prediction (6) of Jordan [1]—δ/a=0.259(x/a)0.510 for same value Rea=14,200, for axial growth of turbulent boundary layer thickness along a long circular cylinder. The power index 0.510 in Ref. [1] is nearly a value of boundary layer thickness δ~x0.5+… along a circular cylinder due to laminar flow [7] rather than turbulent flow [1,6].

Grahic Jump Location
Fig. 2

Comparisons of experimental measurements (except δ/a>1 data of Refs. [5] and [15]) with prediction (1) of Afzal and Singh [3]—δ/a=0.045(x/a)0.746 for Rea=14,200, for axial growth of turbulent boundary layer thickness along a long circular cylinder

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