Leonardo's paradox: the spiralling bubble

Heavy spheres sink straight in a liquid. Small bubbles rise straight. Large bubbles, however, zigzag or spiral. This apparent paradox has first been observed and formulated by Leonardo da Vinci. In this research project the zigzagging and spiraling motion of rising bubbles and spherical particles (both rising and sinking) is studied in a Schlieren setup. Here the wake structure and trailing vortices can be visualized accurately in three dimensions. Shape oscillations of the bubbles may be linked to the observed deviations of the straight rising path of smaller bubbles.

Info: Detlef Lohse

Researchers: Christian Veldhuis, Michel Versluis, Leen van Wijngaarden, Andrea Prosperetti, Detlef Lohse.
Collaborators: Arie Biesheuvel (Engineering Fluid Dynamics, U Twente)
Embedding: JMBC 
Sponsors: FOM


Freely rising light solid spheres
C.H.J. Veldhuis, A. Biesheuvel, and D. Lohse
Int. J. Multiphase Flow 35, 312 – 322 (2009)BibTeΧ
Shape oscillations on bubbles rising in clean and in tap water
C.H.J. Veldhuis, A. Biesheuvel, and L. van Wijngaarden
Phys. Fluids 20, 040705 (2008)BibTeΧ
On hydrodynamical properties of ellipsoidal bubbles
L. van Wijngaarden and C.H.J. Veldhuis
Acta Mechanica 201, 37–46 (2008)BibTeΧ
Motion and wake structure of spherical particles[arΧiv]
C.H.J. Veldhuis, A. Biesheuvel, L. van Wijngaarden, and D. Lohse
Nonlinearity 18, C1 (2004)BibTeΧ

Max Planck Gesellschaft
4TU Precision Medicine
Centre for Scientific Computing