The Combined Influence of Spin and Roughness Frequency on Sphere Aerodynamics

Abstract

In this paper, the lift and drag of spinning spheres roughened with macro roughness elements are examined. The velocity field of these same spheres in flight is measured with Particle Image Velocimetry (PIV). Several spheres with varying roughness are examined at various spin rates and fixed Reynolds number. Unlike previous studies where the roughness height is varied, in the present work the number of roughness elements is varied. The PIV datasets are used to determine the boundary layer separation points for each case. Comparing the lift and drag to the separation points reveals that 1) the separation points become more asymmetric with spin (the Magnus effect), 2) The drag increases with the size of the wake and 3) the drag increases with the asymmetry of the separation points, meaning that lift on spheres correlates to increased drag. Scant evidence of this third effect has been reported previously. Additionally, it is shown that, counter to smooth spheres, the force transmitted to the surface through the roughness elements leads to significant drag. The drag is shown to increase with the number of roughness elements while the lift decreases. Results have implications for understanding aerodynamic forces on bluff bodies with roughness and passive control of aerodynamic forces through roughness element frequency rather than the traditional roughness height.