Wake-Induced Oscillatory Paths of Bodies Freely Rising or Falling in Fluids: Supplemental Video 4b

A supplemental video from the 2012 review by Patricia Ern, Frédéric Risso, David Fabre, and Jacques Magnaudet, "Wake-Induced Oscillatory Paths of Bodies Freely Rising or Falling in Fluids," from the Annual Review of Fluid Mechanics.

Supplemental Videos 4a and b show planar zigzag paths of short cylinders corresponding to Ar = 90, i.e., Re ≈ 250 (from Fernandes et al. 2005). The red line (N_x) indicates the horizontal projection of a unit vector parallel to the body symmetry axis. The black (V_z') and blue (V_x') lines display the evolution of the fluctuating velocity components along the vertical and horizontal directions, respectively. In Supplemental Video 4b, χ = 10. Positions of the body center of volume (left panel) are in mm; fluctuating velocities (right panel) are in mm s^-1. Note that N_x and V_x' are almost in phase for χ = 2, whereas they are more than 90° out of phase for χ = 10.