Experiments in Fluids

, Volume 44, Issue 6, pp 905–914 | Cite as

PIV analysis of near-wake behind a sphere at a subcritical Reynolds number

  • Young Il Jang
  • Sang Joon LeeEmail author
Research Article


The vortical structure of near-wake behind a sphere is investigated using a PIV technique in a circulating water channel at Re = 11,000. The measured velocity fields show a detailed vortical structure in the recirculation region such as recirculation vortices, reversed velocity zone, and out-of-plane vorticity distribution. The vorticity distribution of the sphere wake shows waviness in cross-sectional planes. The time-averaged turbulent structures are consistent with the visualized flow showing the onset of shear layer instability. The spatial distributions of turbulent intensities provide turbulent statistics for validating numerical predictions.


Vortex Vortical Structure Recirculation Region Instantaneous Velocity Field Shear Layer Instability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols


free stream velocity


sphere diameter


Reynolds number \( (U_{o} \cdot d/\nu) \)


mean velocity component


fluctuation velocity component



(x, y, z)

Cartesian coordinate directions

\( {{\sqrt {\overline{{V^{{'2}}_{x} }} } }} \mathord{\left/ {\vphantom {{{\sqrt {\overline{{V^{{'2}}_{x} }} } }} {U_{o} }}} \right. \kern-\nulldelimiterspace} {U_{o} } \)

turbulence intensity of V x

\( {{\sqrt {\overline{{V^{{'2}}_{y} }} } }} \mathord{\left/ {\vphantom {{{\sqrt {\overline{{V^{{'2}}_{y} }} } }} {U_{o} }}} \right. \kern-\nulldelimiterspace} {U_{o} } \)

turbulence intensity of V y

\( {{\sqrt {\overline{{V^{{'2}}_{z} }} } }} \mathord{\left/ {\vphantom {{{\sqrt {\overline{{V^{{'2}}_{z} }} } }} {U_{o} }}} \right. \kern-\nulldelimiterspace} {U_{o} } \)

turbulence intensity of V z



This work was supported by the Korea Science and Engineering Foundation (KOSEF) through the National Research Lab. Program funded by the Ministry of Science and Technology (No. M10600000276-06J0000-27610).


  1. Achebach E (1972) Experiments on the flow past spheres at very high Reynolds numbers. J Fluid Mech 54(3):565–575CrossRefGoogle Scholar
  2. Achebach E (1974) Vortex shedding from spheres. J Fluid Mech 62(2):209–221CrossRefGoogle Scholar
  3. Cannon S, Champagne F, Glezer A (1993) Observations of large-scale structures in wakes behind axisymmetric bodies. Exp Fluids 14(6):447–450CrossRefGoogle Scholar
  4. Constantinescu GS, Squires KD (2003) LES and DES investigation of turbulent flow over a sphere at Re = 10,000. Flow Turbulence Combust 70:267–298zbMATHCrossRefGoogle Scholar
  5. Constantinescu GS, Squires KD (2004) Numerical investigations of flow over a sphere in the subcritical and supercritical regimes. Phys Fluids 16(5):1449–1466CrossRefGoogle Scholar
  6. Coleman H, Steele WG (2001) Experimentation and uncertainty analysis for engineers. Wiley, New York, pp 83–132Google Scholar
  7. Doh DH, Hwang TG, Saga T (2004) 3D-PTV measurements of the wake of a sphere. Meas Sci Technol 15:1059–1066CrossRefGoogle Scholar
  8. Hadzic I, Bakić V, Perić M, Sajn V, Kosel F (2002) Experimental and numerical studies of flow around sphere at sub-critical Reynolds number. Eng Turbulence Model Exp 5:667–676Google Scholar
  9. Johnson TA, Patel VC (1990) Flow past a sphere up to a Reynolds number of 300. J Fluid Mech 378:19–70CrossRefGoogle Scholar
  10. Kim HJ, Durbin PA (1988) Observations of the frequencies in a sphere wake and of drag increase by acoustic excitation. Phys Fluids 31(11):3260–3265CrossRefGoogle Scholar
  11. Kiya M, Ishikawa H, Sakamoto H (2001) Near-wake instabilities and vortex structures of three-dimensional bluff bodies: a review. J Wind Eng Ind Aerodyn 89:1219–1232CrossRefGoogle Scholar
  12. Leder A, Geropp D (1993) The unsteady flow structure in the wake of the sphere. SPIE 2052:119–126CrossRefGoogle Scholar
  13. Lee SJ, Lee SH (1999) Synchronized smoke-wire technique for flow visualization of turbulent flows. J Flow Vis Image Proc 6:65–78zbMATHGoogle Scholar
  14. Leweke T, Provansal M, Ormières D, Lebescond R (1999) Vortex dynamics in the wake of a sphere. Phys Fluid 11(9):S12Google Scholar
  15. Nakamura I (1976) Steady wake behind a sphere. Phys Fluids 19(1):5–8CrossRefGoogle Scholar
  16. Raffel M, Willert CE, Kompenhans J (1998) Particle image velocimetry. Springer, Göttingen, pp 134–146Google Scholar
  17. Sakamoto H, Haniu H (1990) A study on vortex shedding from spheres in a uniform flow. J Fluids Eng 112:386–392CrossRefGoogle Scholar
  18. Sakamoto H, Haniu H (1995) The formation mechanism and shedding frequency of vortices from a sphere in uniform shear flow. J Fluid Mech 287:151–171CrossRefGoogle Scholar
  19. Schmid M, Bakic V, Peric M (2002) Vortex shedding in the turbulent wake of a sphere at subcritical Reynolds number. Results and review workshop on high performance computing in science and engineering, pp 309–316Google Scholar
  20. Suryanarayana GK, Prabhu A (2000) Effect of natural ventilation on the boundary layer separation and near-wake vortex shedding characteristics of a sphere. Exp Fluids 29(7):582–591CrossRefGoogle Scholar
  21. Taneda S (1956) Experimental investigation of the wake behind a sphere at low Reynolds number. J Phys Soc Japan 11(10):1104–1108Google Scholar
  22. Taneda S (1978) Visual observations of the flow past a sphere at Reynolds numbers between 104 and 106. J Fluid Mech 85(1):187–192CrossRefGoogle Scholar
  23. Werlé H (1980) ONERA photograph In: An album of fluid motion (assembled by Dyke V). Parabolic Press, Stanford, pp 32–35Google Scholar
  24. Wu JS, Faeth GM (1993) Sphere wakes in still surroundings at intermediate Reynolds numbers. AIAA J 31(8):1448–1455Google Scholar
  25. Yun G, Kim D, Choi H (2006) Vortical structures behind a sphere at subcritical Reynolds numbers. Phys Fluids 18(1):015102CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringPohang University of Science and TechnologyPohangRepublic of Korea

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