Abstract
The transitional regimes of freely falling discs are investigated by direct numerical simulation of the fluid-solid interaction. The discs are assumed to be homogeneous and infinitely thin. The regimes depend on two independent parameters, the Galileo number expressing the ratio between effects of gravity and viscosity and the non-dimensionalized mass characterizing the inertia of the disc. The paper completes a recently published comprehensive parametric study in this two-parameter space by providing details on several most relevant transitional states. The dynamics of the trajectories and the effect of variable body inertia are illustrated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Auguste, F., Magnaudet, J., Fabre, D.: Falling styles of disks. J. Fluid Mech. 719, 388–405 (2013)
Bönisch, S., Heuveline, V.: On the numerical simulation of the unsteady free fall of a solid in a fluid: I. the newtonian case. Comput. Fluids 36,1434–1445 (2007)
Chrust, M.: Etude numérique de la chute d’objets axisymétriques dans un fluide newtonien. Ph.D. thesis, Université de Strasbourg (2012)
Chrust, M., Bouchet, G., Dušek, J.: Parametric study of the transition in the wake of oblate spheroids and flat cylinders. J. Fluid Mech. 665, 199–208 (2010)
Chrust, M., Bouchet, G., Dušek, J.: Numerical simulation of the dynamics of freely falling discs. Phys. Fluids 25, 044102 (2013)
Ern, P., Risso, F., Fabre, D., Magnaudet, J.: Wake-induced oscillatory paths of bodies freely rising of falling in fluids. Ann. Rev. Fluid Mech. 44:97–121 (2011)
Field, S.B., Klaus, M., Moore, M.G.: Chaotic dynamics of falling disks. Nature 388, 252–254 (1997)
Ghidersa, B., Dušek, J.: Breaking of axisymetry and onset of unsteadiness in the wake of a sphere. J. Fluid Mech. 423, 33–69 (2000)
Jenny, M., Dušek, J.: Efficient numerical method for the direct numerical simulation of the flow past a single light moving spherical body in transitional regimes. J. Comput. Phys. 194, 215–232 (2004)
Jenny, M., Dušek, J., Bouchet, G.: Instabilities and transition of a sphere falling or ascending freely in a Newtonian fluid. J. Fluid Mech. 508, 201–239 (2004)
Shenoy, A.R., Kleinstreuer, C.: Influence of aspect ratio on the dynamics of a freely moving circular disk. J. Fluid Mech. 653, 463–487 (2010)
Willmarth, W.W., Hawk, N.E., Harvey, R.L.: Steady and unsteady motions and wakes of freely falling disks. Phys. Fluids 7, 197–208 (1964)
Zhong, H., Chen, S., Lee, C.: Experimental study of freely falling thin disks: transition from planar zigzag to spiral. Phys. Fluids 23(1), 011702 (2011)
Acknowledgments
The work was partly supported by the French governement grant ANR-09-BLAN-132 OBLIC.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Dušek, J., Chrust, M., Bouchet, G. (2016). Transitional Dynamics of Freely Falling Discs. In: Braza, M., Bottaro, A., Thompson, M. (eds) Advances in Fluid-Structure Interaction. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-319-27386-0_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-27386-0_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27384-6
Online ISBN: 978-3-319-27386-0
eBook Packages: EngineeringEngineering (R0)