Skip to main content
Log in

Parameterization of the in-water motions of falling cylinders using high-speed video

  • Original
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

A methodology to observe the motions of large cylinders falling freely at large (~106) Reynolds numbers using a stereometric, high-speed video technique is presented. Parameter variation in length, weight, center of mass, and nose shape combined with changes in release height and initial inclination angle were used to estimate the influence of net drag forces on six cylinder bodies. Cylinders with coincident centers of volume and mass typically assumed body orientations with the major axis aligned normal to the path of descent indicating that buoyancy forces and turbulent drag balanced the inertia of the body and displaced water. Displacement of the center of mass resulted in more vertical orientations and more complex motions. Abrupt changes in position, orientation, and velocity were also observed when air-dropped cylinders separated from a trapped cloud of bubbles signifying the onset of less predictable behaviors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Aref H, Jones SW (1993) Chaotic motion of a solid through ideal fluid. Phys Fluids A-Fluid Dyn 5(12):3026–3028

    Google Scholar 

  • Aref H, Jones SW (1994) Motion of a solid body through an ideal fluid. Rep no. 772, College of Engineering, University of Illinois at Urbana-Champaign, Urbana

  • Chu PC, Gilles AF, Fan CW, Lan J, Fleischer P (2002) Hydrodynamical characteristics of a falling cylinder in water column. In: Rahman M, Verhoeven R, Brebbia CA (eds) Advances in fluid mechanics IV. WIT Press, Southampton, UK, pp 163–181

  • Field SB, Klaus M, Moore MG, Nori F (1997) Chaotic dynamics of falling disks. Nature 388(6639):252–254

    Article  CAS  Google Scholar 

  • Hoerner SF (1965) Fluid-dynamic drag: Practical information on aerodynamic drag and hydrodynamic resistance. Hoerner Fluid Dynamics, Brick Town, NJ

  • Holland KT, Holman RA, Lippmann TC, Stanley J, Plant N (1997) Practical use of video imagery in nearshore oceanographic field studies. IEEE J Ocean Eng 22(1):81–92

    Article  Google Scholar 

  • Holmes P, Jenkins J, Leonard NE (1998) Dynamics of the Kirchhoff equations I: Coincident centers of gravity and buoyancy. Physica D 118(3–4):311–342

    Google Scholar 

  • Kim Y, Liu Y, Yue DKP (2002) Motion dynamics of three-dimensional bodies falling through water. In: 17th international workshop on water waves and floating bodies, Royal Institution of Naval Architects, Cambridge, UK

  • Kochin NE, Kibel IA, Roze NV (1964) Theoretical hydromechanics. Intersciences Publishers, New York

  • Kozlov VV (1989) Heavy rigid body falling in an ideal fluid. Izv AN SSSR, Mekhanika Tverdogo Tela 24(5):10–17

    Google Scholar 

  • Lamb H (1932) Hydrodynamics. Cambridge Univ Press

  • Leonard NE, Graver JG (2001) Model-based feedback control of autonomous underwater gliders. IEEE J Ocean Eng 26(4):633–645

    Article  Google Scholar 

  • Lovvorn JR, Liggins GA, Borstad MH, Calisal SM, Mikkelsen J (2001) Hydrodynamic drag of diving birds: Effects of body size, body shape and feathers at steady speeds. J Exp Biol 204(9):1547–1557

    CAS  PubMed  Google Scholar 

  • Mahadevan L, Ryu WS, Aravinthan DTS (1999) Tumbling cards. Phys Fluids 11(1):1–3

    Article  CAS  Google Scholar 

  • Milne-Thomson LM (1968) Theoretical hydrodynamics. Macmillian, New York

  • Richardson M, Valent P, Briggs K, Braley J, Griffin S (2001) NRL mine burial experiments. In: Second Australian–American joint conference on the technologies of mine countermeasures, Sydney, Australia, p 23

  • Stelson TE, Mavis FT (1957) Virtual mass and acceleration in fluids. Trans Am Soc Civ Eng 122:518–530

    Google Scholar 

  • Valent PJ, Green AW, Fritts MJ, Young DK (2001) Deep ocean relocation of dredged material: Containment, transporting and emplacement. J Dredging Eng 3(3):10–26

    Google Scholar 

  • Valent PJ et al (2002) Observations of velocities and orientations of cylindrical bodies at terminal condition in water. In: Fifth international symposium on technology and mine problems, Monterey, CA

  • Valent PJ, Palowitch AW, Young DK (1998) Engineering concepts for the placement of wastes on the abyssal seafloor. J Mar Syst 14(3–4):273–288

    Google Scholar 

  • Zdravkovich MM, Brand VP, Mathew G, Weston A (1989) Flow past short circular-cylinders with two free ends. J Fluid Mech 203:557–575

    Google Scholar 

Download references

Acknowledgements

We acknowledge the significant support and contributions of Naval Surface Warfare Center, Carderock Division, personnel for directly aiding the project team in conducting the experiment over the 11 September 2001 timeframe.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. T. Holland.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Holland, K.T., Green, A.W., Abelev, A. et al. Parameterization of the in-water motions of falling cylinders using high-speed video. Exp Fluids 37, 690–700 (2004). https://doi.org/10.1007/s00348-004-0859-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-004-0859-2

Keywords

Navigation