Skip to main content
Log in

Decay of the drag wake of a sphere at Reynolds number \(10^5\)

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The drag wake of a dimpled sphere with \(Re = 10^5\) is studied experimentally using Stereo Particle Image Velocimetry to a downstream distance of \(\sim 90\) diameters. The wake growth and velocity decay are analyzed and compared with previous dimpled sphere data for \(Re = 5 \cdot 10^4\). Self-similar decay was observed with the ensemble mean axial velocity defect decaying as \(x^{-1}\) and the wake size growing as \(x^{1/2}\). Due to the difference in Reynolds number, the two spheres have different drag coefficients (0.13 and 0.25, respectively), but these self-similar decay exponents were not observed to depend on drag coefficient or Reynolds number. The results suggest that the self-similar drag wake decay observed at laboratory scales may extrapolate to the larger Reynolds numbers typical of engineering and geophysical flows.

Graphical Abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  • Achenbach E (1972) Experiments on the flow past spheres at very high Reynolds numbers. J Fluid Mech 54:565–575

    Article  Google Scholar 

  • Achenbach E (1974) The effects of surface roughness and tunnel blockage on the flow past spheres. J Fluid Mech 65:113–125

    Article  Google Scholar 

  • Bevilaqua PM, Lykoudis PS (1978) Turbulence preservation in self-preserving wakes. J Fluid Mech 89:589–606

    Article  Google Scholar 

  • Bonnier M, Eiff O (2002) Experimental investigation of the collapse of a turbulent wake in a stably stratified fluid. Phys Fluids 14:791–801

    Article  Google Scholar 

  • Chongsiripinyo K, Sarkar S (2020) Decay of turbulent wakes behind a disk in homogeneous and stratified fluids. J Fluid Mech 885:A31-1

    Article  MathSciNet  Google Scholar 

  • Dairay T, Obligado M, Vassilicos JC (2015) Non-equilibrium scaling laws in axisymmetric turbulent wakes. J Fluid Mech 781:166–195

    Article  MathSciNet  Google Scholar 

  • Johanssan PBV, George WK, Gourlay MJ (2003) Equilibrium similarity, effects of initial conditions and local Reynolds number on the axisymmetric wake. Phys Fluids 15(3):603–617

    Article  MathSciNet  Google Scholar 

  • Lawson NJ, Wu J (1997) Three-dimensional particle image velocimetry: experimental error analysis of a digital angular stereoscopic system. Meas Sci Technol 8:1455–1464

    Article  Google Scholar 

  • Michaelis D, Neal D, Wieneke B (2016) Peak-locking reduction for particle image velocimetry. Meas Sci Technol 27:104005

    Article  Google Scholar 

  • Nedić J, Vassilicos JC, Ganapathisubramani B (2013) Axisymmetric turbulent wakes with new nonequilibrium similarity scalings. Phys Rev Lett 111:144503

    Article  Google Scholar 

  • Nidhan S, Chongsiripinyo K, Schmidt OT, Sarkar S (2020) Spectral proper orthogonal decomposition analysis of the turbulent wake of a disk at Re = 50 000. Phys Ref Fluids 5:124606

    Article  Google Scholar 

  • Obligado M, Dairay T, Vassilicos JC (2016) Non-equilibrium scalings of turbulent wakes. Phys Rev Fluids 1:044409

    Article  Google Scholar 

  • Pal A, Sarkar S, Posa A, Balaras E (2017) Direct numerical simulation of stratified flow past a sphere at a subcritical Reynolds number of 3700 and moderate Froude number. J Fluid Mech 826:5–31

    Article  MathSciNet  Google Scholar 

  • Raffel M, Willert C, Scarano F, Kahler C, Wereley S, Kompenhans J (2018) Particle image velocimetry: a practical guide. Springer, New York

    Book  Google Scholar 

  • Saunders DC, Frederick G, Drivas TD, Wunsch S (2020) Self-similar decay of the drag wake of a dimpled sphere. Phys Rev Fluids 5:124607

    Article  Google Scholar 

  • Swain LM (1929) On the turbulent wake behind a body of revolution. Proc R Soc Lond 125:647–659

    MATH  Google Scholar 

  • Tennekes H, Lumley JL (1972) A first course in turbulence. MIT, Cambridge, MA

    Book  Google Scholar 

  • UVMAT Particle Image velocimetry program (2018) http://servforge.legi.grenoble-inp.fr/projects/soft-uvmat

Download references

Acknowledgements

This work was funded by the JHU/APL IRAD program. The able assistance of Gary Frederick in the data collection is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Contributions

Curtis Saunders contributed to the experimental setup, data collection, data processing and analysis. Justen Britt contributed to the experimental setup and data collection. Scott Wunsch contributed to the experimental design, data processing and analysis.

Corresponding author

Correspondence to D. Curtis Saunders.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Saunders, D.C., Britt, J.A. & Wunsch, S. Decay of the drag wake of a sphere at Reynolds number \(10^5\). Exp Fluids 63, 71 (2022). https://doi.org/10.1007/s00348-022-03414-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-022-03414-9

Navigation