Turbulent wake past a three-dimensional blunt body. Part 1. Global modes and bi-stability

• Published in: Journal of fluid mechanics 2013-05, Vol.722, p.51-84
• Main Authors: Grandemange, M., Gohlke, M., Cadot, O.
• Format: Article
• Language: English
• Subjects: Asymmetry; Boundary layer; Coherence; Engineering Sciences; Exact sciences and technology; Fluid dynamics; Fluid flow; Fluid mechanics; Fluids mechanics; Fundamental areas of phenomenology (including applications); Hydrodynamic stability; Instability of shear flows; Mechanics; Oscillations; Physics; Reynolds number; Turbulence; Turbulent flow; Turbulent flows, convection, and heat transfer; Wakes
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/jfm.2013.83

The flow around the three-dimensional blunt geometry presented in the work of Ahmed, Ramm & Faitin (Tech. Rep., 1984) is investigated experimentally at $\mathit{Re}= {U}_{0} H/ \nu = 9. 2\times 1{0}^{4} $ (where ${U}_{0} $ is free-stream velocity, $H$ the height of the body and $\nu $ viscosity). The very large recirculation on the base responsible for the dominant part of the drag is characterized. The analyses of the coherent dynamics of the wake reveal the presence of two very distinctive time scales. At long time scales ${T}_{l} \sim 1{0}^{3} H/ {U}_{0} $ , the recirculation region shifts between two preferred reflectional-symmetry-breaking positions leading to a statistically symmetric wake; the sequence of these asymmetric states is random. This bi-stable behaviour is independent of the Reynolds number but occurs only above a critical value of ground clearance. At short time scales ${T}_{s} \sim 5H/ {U}_{0} $ , the wake presents weak coherent oscillations in the vertical and lateral directions. They are respectively associated with the interaction of the top/bottom and lateral shear layers; when normalized by the height and width of the body, the Strouhal numbers are close to 0.17. These results suggest an alternate shedding associated with the vertical oscillation and a one-sided vortex shedding in the lateral direction with an orientation linked to the current asymmetric position. Finally, the impact of these coherent wake motions on the base pressure is discussed to motivate further drag reduction strategies.