Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-09T22:13:00.144Z Has data issue: false hasContentIssue false
  • English
  • Français

Measurements in the near-wall region of a boundary layer over a wall with large transverse curvature

Published online by Cambridge University Press:  26 October 2010

M. H. KRANE ,
L. M. GREGA  and
T. WEI
M. H. KRANE
Affiliation:
Applied Research Laboratory, Pennsylvania State University, State College, PA 16804, USA
L. M. GREGA
Affiliation:
Department of Mechanical Engineering, The College of New Jersey, Ewing, NJ 08628, USA
T. WEI*
Affiliation:
Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Measurements of the near-wall velocity field of the flow over cylinders aligned with a uniform flow are presented. The broader objective of this investigation was to quantify and understand the role of transverse curvature in the limit as cylinder diameter approaches zero. The specific goal was to begin with a turbulent boundary layer over a larger radius cylinder and see what happens as the radius is reduced. Spatially and temporally resolved digital particle image velocimetry (DPIV) measurements were made on three different radius cylinders, 0.14 cm ≤ a ≤ 3.05 cm, extending along the length of a large free-surface water tunnel. Mean and fluctuating profiles are presented at a fixed streamwise location and free-stream speed. For the first time, spatially resolved measurements were made very close to the wall, permitting direct determination of wall shear stress, i.e. uτ, from near-wall velocity profiles. The measurements revealed a region close to the wall for small radii where the mean streamwise velocity profile is inflectional. This has significant implications on assumptions regarding what happens in the limit of a vanishing cylinder radius.

JFM classification

Boundary Layers: Free shear layers Acoustics: Hydrodynamic noise Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 664 , 10 December 2010 , pp. 33 - 50
Copyright
Copyright © Cambridge University Press 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bradshaw, P. & Patel, V. C. 1973 Mean velocity profile of a thick turbulent boundary layer along a circular cylinder – Comment. AIAA J. 11, 893–894.Google Scholar
Cebeci, T. 1970 Laminar and turbulent incompressible boundary layers on slender bodies of revolution in axial flow. J. Basic Engng 92, 545–554.Google Scholar
Cipolla, K. M. & Keith, W. L. 2003 a Momentum thickness measurements for thick axisymmetric turbulent boundary layers. J. Fluids Engng 125, 569–575.Google Scholar
Cipolla, K. M. & Keith, W. L. 2003 b High Reynolds number thick axisymmetric turbulent boundary layer measurements. Exp. Fluids 35, 477–485.Google Scholar
Clauser, F. H. 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 1–51.Google Scholar
Coles, D. E. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191–226.Google Scholar
Grega, L. M., Wei, T., Leighton, R. I. & Neves, J. C. 1995 Turbulent mixed boundary flow in the corner formed by a solid wall and a free surface. J. Fluid Mech. 294, 17–46.CrossRefGoogle Scholar
Heenan, A. F. & Morrison, J. F. 2002 Turbulent boundary layers on axially inclined cylinders. Part 1. Surface-pressure/velocity correlations. Exp. Fluids 32, 547–557.CrossRefGoogle Scholar
Hsu, T. Y., Grega, L. M., Leighton, R. I. & Wei, T. 2000 Turbulent kinetic energy transport in a corner formed by a solid wall and a free surface. J. Fluid Mech. 410, 343–366.Google Scholar
Keith, W. L., Cipolla, K. M. & Furey, D. 2009 Turbulent wall pressure fluctuation measurements on a towed model at high Reynolds numbers. Exp. Fluids 46, 181–189.CrossRefGoogle Scholar
Lueptow, R. M. & Haritonidis, J. H. 1987 The structure of the turbulent boundary layer on a cylinder in axial flow. Phys. Fluids 30, 2993–3005.CrossRefGoogle Scholar
Lueptow, R. M. & Jackson, C. P. 1991 Near-wall streaky structure in a turbulent boundary layer on a cylinder. Phys. Fluids A 3, 2622–2624.CrossRefGoogle Scholar
Lueptow, R. M. & Leehey, P. 1986 The eddy viscosity in a turbulent boundary layer on a cylinder. Phys. Fluids 29, 4232–4233.Google Scholar
Lueptow, R. M., Leehey, P. & Stellinger, T. 1985 The thick, turbulent boundary layer on a cylinder: mean and fluctuating velocities. Phys. Fluids 28, 3495–3505.CrossRefGoogle Scholar
Luxton, R. E., Bull, M. K. & Rajagopolan, S. 1984 The thick turbulent boundary layer on a long fine cylinder in axial flow. Aeronaut. J. 88, 186–199.CrossRefGoogle Scholar
Neves, J. C., Moin, P. & Moser, R. D. 1994 a Effects of convex transverse curvature on wall-bounded turbulence. Part 1. The velocity and vorticity. J. Fluid Mech. 272, 349–381.Google Scholar
Neves, J. C., Moin, P. & Moser, R. D. 1994 b Effects of convex transverse curvature on wall-bounded turbulence. Part 2. The pressure fluctuations. J. Fluid Mech. 272, 383–406.CrossRefGoogle Scholar
Patel, V. C. 1973 A unified view of the law of the wall using mixing length theory. Aeronaut. Q. 24, 55–70.CrossRefGoogle Scholar
Patel, V. C. 1974 A simple integral method for the calculation of thick axisymmetric turbulent boundary layers. Aeronaut. Q. 25, 47–58.CrossRefGoogle Scholar
Patel, V. C., Nakayama, A. & Damian, R. 1974 Measurements in the thick axisymmetric turbulent boundary layer near the tail of a body of revolution. J. Fluid Mech. 63, 345–367.CrossRefGoogle Scholar
Rao, G. N. V. 1967 The law of the wall in a thick, axisymmetric turbulent boundary layer. J. Appl. Mech. 34, 237.Google Scholar
Rao, G. N. V. 1974 Comment on ‘Mean velocity profile of a thick turbulent boundary layer along a circular cylinder’. AIAA J. 10, 849.Google Scholar
Rao, G. N. V. & Keshevan, N. R. 1972 Axisymmetric boundary layers in zero pressure-gradient flows. J. Appl. Mech. 39, 25.CrossRefGoogle Scholar
Shah, P., Atsavapranee, P., Hsu, T. Y., Wei, T. & McHugh, J. 1999 Turbulent transport in the core of a trailing delta wing vortex. J. Fluid Mech. 387, 151–175.Google Scholar
Smith, G. B. 1992 Collisional excitation of instabilities in impinging vortex rings. MS thesis, Rutgers University.Google Scholar
Wei, T. & Willmarth, W. W. 1983 Static pressure distribution on long cylinders as a function of angle of yaw and Reynolds number. Rep. 014439-1-T. University of Michigan, Department of Aerospace Engineering.Google Scholar
Wei, T. & Willmarth, W. W. 1989 Reynolds number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 57–95.Google Scholar
Willmarth, W. W., Winkel, R. E. & Sharma, L. K. 1976 Axially symmetric boundary layers on cylinders: mean velocity profiles and wall pressure fluctuations. J. Fluid Mech. 76, 35–64.Google Scholar