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TECHNICAL PAPERS

Momentum Thickness Measurements for Thick Axisymmetric Turbulent Boundary Layers

[+] Author and Article Information
Kimberly M. Cipolla, William L. Keith

Naval Undersea Warfare Center, Code 2141, 1176 Howell Street, Newport, RI 02841-1708

J. Fluids Eng 125(3), 569-575 (Jun 09, 2003) (7 pages) doi:10.1115/1.1568359 History: Received April 18, 2002; Revised December 03, 2002; Online June 09, 2003
Copyright © 2003 by ASME
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References

Lueptow, R. M., 1988, “Turbulent Boundary Layer on a Cylinder in Axial Flow,” NUSC Technical Report 8389, Naval Underwater Systems Center, New London, CT, Sept. 29.
Willmarth,  W. W., Winkel,  R. E., Sharma,  L. K., and Bogar,  T. J., 1976, “Axially Symmetric Turbulent Boundary Layers on Cylinders: Mean Velocity Profiles and Wall Pressure Fluctuations,” ASME J. Fluids Eng., 76, Part 1, pp. 35–64.
Luxton,  R. E., Bull,  M. K., and Rajagopalan,  S., 1984, “The Thick Axisymmetric Boundary Layer on a Long Fine Cylinder in Axial Flow,” Aeronaut. J., 88, pp. 186–199.
Ackroyd,  J. A. D., 1982, “On the Analysis of Turbulent Boundary Layers on Slender Cylinders,” ASME J. Fluids Eng., 104, pp. 185–190.
Rao,  G. N. V., 1967, “The Law of the Wall in a Thick Axisymmetric Turbulent Boundary Layer,” ASME J. Appl. Mech., 34, pp. 237–238.
Patel,  V. C., 1973, “A Unified View of the Law of the Wall Using Mixing-Length Theory,” Aeronaut. Q., 24, pp. 55–70.
Piquet,  J., and Patel,  V. C., 1999, “Transverse Curvature Effects in Turbulent Boundary Layer,” Prog. Aerosp. Sci., 35, pp. 661–672.
Neves,  J. C., Moin,  P., and Moser,  R. D., 1994, “Effects of Convex Transverse Curvature on Wall-Bounded Turbulence. Part 1. The Velocity and Vorticity,” J. Fluid Mech., 272, pp. 349–381.
Brown, D. A., 1985, “Langley Seawater Tow Tank Facility: Description and Operation,” NUSC Technical Document 6392, Naval Underwater Systems Center, New London, CT, June 17 (unclassified).
Schlichting, H., 1979, Boundary-Layer Theory, 7th Ed., McGraw-Hill, New York, pp. 635–667.
Wei, T., 1983, “Static Pressure Distribution on Long Cylinders as a Function of Yaw and Reynolds Number,” Report 014439-1-T, Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI.
Cipolla, K. M., and Williams, M. R., 2001, “Drag Measurements of Long Cylinders in Axial Tow,” Proceedings of the Undersea Defense Technology Hawaii Conference, Waikiki, HI, Paper No. 6B.3.

Figures

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Schematic of experimental setup using the high-speed seawater tow tank (HSSTT)
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Total drag versus time measured during a typical run
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Measured tangential drag coefficient versus tow speed for 0.8-mm-diameter cylinders compared to predicted flat-plate values
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Cd(L/a) versus Rea(a/L) analytical results from Ackroyd 4
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Sketch of control volume for cylindrical coordinates
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Momentum thickness θ at the end of the cylinder as a function of tow speed
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Ratio of momentum thickness to length, θ(L)/L versus nondimensional velocity UoL/ν
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Dimensional scaling of momentum thickness versus nondimensional velocity UoL/ν
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Nondimensional momentum thickness, scaled for 2.8×104<L/a<3.5×105
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Nondimensional momentum thickness, scaled for 1.2×103<L/a<1.1×104

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