Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-23T20:48:43.120Z Has data issue: false hasContentIssue false
  • English
  • Français

The intermediate wake of a body of revolution at high Reynolds numbers

Published online by Cambridge University Press:  27 July 2010

JUAN M. JIMÉNEZ ,
M. HULTMARK  and
A. J. SMITS
JUAN M. JIMÉNEZ*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
M. HULTMARK
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
A. J. SMITS
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Present address: Institute for Medicine and Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA. Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Results are presented on the flow field downstream of a body of revolution for Reynolds numbers based on a model length ranging from 1.1 × 106 to 67 × 106. The maximum Reynolds number is more than an order of magnitude larger than that obtained in previous laboratory wake studies. Measurements are taken in the intermediate wake at locations 3, 6, 9, 12 and 15 diameters downstream from the stern in the midline plane. The model is based on an idealized submarine shape (DARPA SUBOFF), and it is mounted in a wind tunnel on a support shaped like a semi-infinite sail. The mean velocity distributions on the side opposite the support demonstrate self-similarity at all locations and Reynolds numbers, whereas the mean velocity distribution on the side of the support displays significant effects of the support wake. None of the Reynolds stress distributions of the flow attain self-similarity, and for all except the lowest Reynolds number, the support introduces a significant asymmetry into the wake which results in a decrease in the radial and streamwise turbulence intensities on the support side. The distributions continue to evolve with downstream position and Reynolds number, although a slow approach to the expected asymptotic behaviour is observed with increasing distance downstream.

JFM classification

Wakes/Jets: Separated flows Turbulent Flows: Shear layer turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 659 , 25 September 2010 , pp. 516 - 539
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

Alin, N., Berglund, M. & Fureby, C. 2000 A VLES approach applied to flows around underwater vehicle hulls. In Thirty-eighth AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV.Google Scholar
Arabshahi, A., Beddhu, M., Briley, W., Chen, J., Gaither, A., Gaither, K., Janus, J., Jiang, M., Marcum, D., McGinley, J., Pankajakshan, R., Remotigue, M., Sheng, C., Sreenivas, K., Taylor, L. & Whitfield, D. 1998 A perspective on naval hydrodynamics flow simulations. In Twenty-second Symposium on Naval Hydrodynamics. Washington, DC.Google Scholar
Bradshaw, P. B. 1971 An Introduction to Turbulence and its Measurement. Pergamon Press.Google Scholar
Bridges, D. H., Cash, A. C. & Freudenthal, J. L. 2006 Investigation of scaling effects in submarine flows. In Forty-fourth AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV.Google Scholar
Bull, P. 1996 The validation of CFD predictions of nominal wake for the SUBOFF fully appended geometry. In Twenty-first Symposium on Naval Hydrodynamics. Trondheim, Norway.Google Scholar
Carmody, T. 1964 Establishment of the wake behind a disk. J. Basic Engng 87, 869–882.CrossRefGoogle Scholar
Chevray, R. 1968 The turbulent wake of a body of revolution. J. Basic Engng 90, 275–284.CrossRefGoogle Scholar
Desabrais, K. J. & Johari, Hamid 2006 Vortex shedding in the near wake of rigid and flexible bluff bodies. In Forty-fourth AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV.Google Scholar
Dimotakis, P. E. 1977 Laser Doppler velocimetry momentum defect measurements of cable drag at low to moderate Reynolds numbers. Tech. Rep. N62583/77-M-R541. NCBC.Google Scholar
Gear, P. J. L. 1965 An experimental study of the turbulence in the wake of a body of revolution. Master's thesis, University of Iowa, Iowa City, IA.Google Scholar
Gessner, F. B. & Moller, G. L. 1971 Response behaviour of hot wires in shear flow. J. Fluid Mech. 47, 449–468.CrossRefGoogle Scholar
Goldstein, S. 1948 Low-drag and suction airfoils. J. Aeronaut. Sci. 15, 189–220.CrossRefGoogle Scholar
Groves, N. C., Huang, T. T. & Chang, M. S. 1989 Geometric characteristics of DARPA SUBOFF models. Tech. Rep. DTRC/SHD-1298-01. David Taylor Research Center, Bethesda, MD.Google Scholar
Higuchi, H. & Kubota, T. 1990 Axisymmetryc wakes behind a slender body including zero-momentum configurations. Phys. Fluids A 2 (9), 1615–1623.CrossRefGoogle Scholar
Hosder, S. 2001 Unsteady skin-friction measurements on a maneuvering DARPA2 SUBOFF model. Master's thesis, Virginia Polytechnic Institute and State University, Blacksburg, VA.CrossRefGoogle Scholar
Huang, T., Liu, H. L., Groves, N., Forlini, T., Blanton, J. & Gowing, S. 1992 Measurements of flows over an axisymmetric body with various appendages in a wind tunnel: the DARPA SUBOFF experimental program. In Nineteenth Symposium on Naval Hydrodynamics. Seoul, Korea.Google Scholar
Hultmark, M. & Smits, A. J. 2010 A note on temperature corrections for hot wires. Meas. Sci. Technol. (in press).Google Scholar
Jiménez, J. M. 2007 High Reynolds number flows about bodies of revolution with application to submarines and torpedoes. PhD thesis, Princeton University, Princeton, NJ.Google Scholar
Jiménez, J. M., Reynolds, R. & Smits, A. J. 2010 The effects of fins on the intermediate wake of a submarine model. J. Fluids Engng 132 (3), 031102.CrossRefGoogle Scholar
Johansson, P. B. V. & George, W. K. 2006 a The far downstream evolution of the high-Reynolds-number axisymmetric wake behind a disk. Part 1. Single-point statistics. J. Fluid Mech. 555, 363–385.CrossRefGoogle Scholar
Johansson, P. B. V. & George, W. K. 2006 b The far downstream evolution of the high-Reynolds-number axisymmetric wake behind a disk. Part 2. Slice proper orthogonal decomposition. J. Fluid Mech. 555, 387–408.CrossRefGoogle Scholar
Lomas, C. G. 1986 Fundamentals of Hot-wire Anemometry. Cambridge University Press.Google Scholar
McDonald, H. & Whitfield, D. 1996 Self-propelled maneuvering underwater vehicles. In Twenty-first Symposium on Naval Hydrodynamics. Trondheim, Norway.Google Scholar
Merz, R. A., Yi, C. H. & Przirembel, C. E. G. 1985 The subsonic near-wake of an axisymmetric semielliptical afterbody. AIAA J. 23 (10), 1512–1517.CrossRefGoogle Scholar
Oertel, H. 1990 Wakes behind blunt bodies. Annu. Rev. Fluid Mech. 22, 539–564.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
Perry, A. E. 1982 Hot-Wire Anemometry. Oxford University Press.Google Scholar
Ramaprian, B. R. & Patel, V. C. 1982 The symmetric turbulent wake of a flat plate. AIAA J. 20, 1228–1235.CrossRefGoogle Scholar
Sato, H. & Kuriki, K. 1961 The mechanism of transition in the wake of a thin flat plate placed parallel to a uniform flow. J. Fluid Mech. 11, 321–352.CrossRefGoogle Scholar
Sheng, C., Taylor, L. K. & Whitfield, D. L. 1995 Multiblock multigrid solution of three dimensional incompressible turbulent flows about appended submarine configurations. In AIAA 33rd Aerospace Sciences Meeting and Exhibit. Reno, NV.Google Scholar
Simpson, R. L. 2001 Junction flows. Annu. Rev. Fluid Mech. 33, 415–443.CrossRefGoogle Scholar
Sirviente, A. I. & Patel, V. C. 1999 Experiments in the turbulent near wake of an axisymmetric body. AIAA J. 37 (12), 1670–1672.CrossRefGoogle Scholar
Sung, C. H., Griffin, M. J., Tsai, J. F. & Huang, T. T. 1993 Incompressible flow computation of forces and moments on bodies of revolution at incidence. In AIAA 31st Aerospace Sciences Meeting and Exhibit. Reno, NV.Google Scholar
Symes, C. R. & Fink, L. E. 1977 Effects of external turbulence upon the flow past cylinders. In Structures and Mechanisms of Turbulence I (ed. Ehlers, J., Hepp, K., Kippenhahn, R. & Weidenmüller, H. A.), pp. 86–102. Berlin, Germany.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.Google Scholar
Wygnanski, I., Champagne, F. & Marasli, B. 1986 On the large scale structures in two dimensional, small deficit turbulent wakes. J. Fluid Mech. 168, 31–71.CrossRefGoogle Scholar
Yavuzkurt, S. 1984 A guide to uncertainty analysis of hot-wire data. J. Fluids Engng 106, 181–186.CrossRefGoogle Scholar