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
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
Achenbach E (1974) The effects of surface roughness and tunnel blockage on the flow past spheres. J Fluid Mech 65:113–125
Bevilaqua PM, Lykoudis PS (1978) Turbulence preservation in self-preserving wakes. J Fluid Mech 89:589–606
Bonnier M, Eiff O (2002) Experimental investigation of the collapse of a turbulent wake in a stably stratified fluid. Phys Fluids 14:791–801
Chongsiripinyo K, Sarkar S (2020) Decay of turbulent wakes behind a disk in homogeneous and stratified fluids. J Fluid Mech 885:A31-1
Dairay T, Obligado M, Vassilicos JC (2015) Non-equilibrium scaling laws in axisymmetric turbulent wakes. J Fluid Mech 781:166–195
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
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
Michaelis D, Neal D, Wieneke B (2016) Peak-locking reduction for particle image velocimetry. Meas Sci Technol 27:104005
Nedić J, Vassilicos JC, Ganapathisubramani B (2013) Axisymmetric turbulent wakes with new nonequilibrium similarity scalings. Phys Rev Lett 111:144503
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
Obligado M, Dairay T, Vassilicos JC (2016) Non-equilibrium scalings of turbulent wakes. Phys Rev Fluids 1:044409
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
Raffel M, Willert C, Scarano F, Kahler C, Wereley S, Kompenhans J (2018) Particle image velocimetry: a practical guide. Springer, New York
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
Swain LM (1929) On the turbulent wake behind a body of revolution. Proc R Soc Lond 125:647–659
Tennekes H, Lumley JL (1972) A first course in turbulence. MIT, Cambridge, MA
UVMAT Particle Image velocimetry program (2018) http://servforge.legi.grenoble-inp.fr/projects/soft-uvmat
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
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
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
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
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00348-022-03414-9