Skip to main content
Log in

Dynamics of a Spherical Body in a Liquid with Rotational Vibration of the Cavity

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The average dynamics of a single solid sphere in a liquid-filled cylindrical cavity in the presence of high-frequency rotational oscillation about the axis of symmetry is studied experimentally. In the cavity there is an impermeable membrane which forces the liquid as a whole to vibrates together with the cavity. Various orientations of the vessel in the gravity force field are considered. The action of an average force of vibrational nature on the sphere and the dependence of this force on the vibration parameters and the body dimensions and density are studied. The force is measured with respect to the “floating” threshold for the heavy body, when the average vibrational force balances or exceeds the action of the gravity force.

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.

Similar content being viewed by others

REFERENCES

  1. V. G. Kozlov, “Solid body dynamics in cavity with liquid under high-frequency rotational vibration,” Europhys. Letters, 36, 651 (1996).

    Google Scholar 

  2. A. A. Ivanova, V. G. Kozlov, and P. Evesque, “Solid body mean dynamics at large amplitude rotational vibrations: Experiments”, in: Proc. Joint 10th Europ. and 6th Russian Symp. on Phys. Sci in Microgravity. St. Petersburg, Russia, 1997, Vol. 1, Inst. Probl. Mech. RAS, Moscow (1997), P. 266.

    Google Scholar 

  3. A. A. Ivanova, V. G. Kozlov, and P. Evesque, “Dynamics of a cylindrical body in a liquid-filled sector of a cylindrical layer under rotational vibration”, Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 29 (1998).

  4. A. A. Ivanova and V. G. Kozlov, “Experimental investigation of the influence of rotational oscillations on the stability of the convective motion in a vertical cylindrical layer of circular cross-section with a membrane,” in: E. M. Zhukhovitskii (Ed.), Convection Flows [in Russian], Perm' Ped. Inst., Perm' (1987), P. 38.

    Google Scholar 

  5. H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).

    Google Scholar 

  6. T. Sarpkaya, “Force on a circular cylinder in viscous oscillatory flow at low Keulegan-Carpenter numbers,” J. Fluid Mech., 165, 61 (1986).

    Google Scholar 

  7. P. Hall, “On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid,” J. Fluid Mech., 146, 347 (1984).

    Google Scholar 

  8. S. R. Otto, “On stability of flow around an oscillating sphere,” J. Fluid Mech., 239, 47 (1992).

    Google Scholar 

  9. A. A. Ivanova and V. G. Kozlov, “Rotational vibration for controlling phase inclusions in a liquid,” in: Papers of 12th Winter School on Continuum Mechanics [in Russian], UrO RAS, Ekaterinburg (1999), P. 163.

    Google Scholar 

  10. V. N. Chelomei, “Paradoxes in mechanics initiated by vibration,” Dokl. Akad. Nauk SSSR, 270, 62 (1983).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivanova, A.A., Kozlov, V.G. Dynamics of a Spherical Body in a Liquid with Rotational Vibration of the Cavity. Fluid Dynamics 36, 701–711 (2001). https://doi.org/10.1023/A:1013012616550

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013012616550

Keywords

Navigation