Skip to main content
Log in

Effects of atmospheric pressure and air concentration in the fluid on the motion of a rigid sphere along a wall (experiment)

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The effects of the dissolved air concentration and atmospheric pressure on the motion of a rigid sphere along a wall in a fluid are studied experimentally. These effects are the result of the occurrence of a gas bubble in the lubrication layer between the moving sphere’s and the wall. It is found that, depending on the air concentration in the fluid and the atmospheric pressure, during the sphere motion the bubble volume may either increase or remain constant. From the observations, it is clear that the variation of the bubble volume is associated with the unsteady motion of the sphere.

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. A.N. Prokunin and O.V. Voinov, “On a Cavitation in Spherical-Particle Slow Motion in a Liquid along a Wall,” in USNCTAM 14, Blacksburg, 2002 (2002), p. 257.

  2. A.N. Prokunin, “On a Paradox in the Motion of a Rigid Sphere along a Wall in a Fluid,” Fluid Dynamics 38(3), 443–457 (2003).

    Article  MATH  Google Scholar 

  3. A.N. Prokunin, “Microcavitation in the Slow Motion of a Solid Spherical Particle along a Wall in a Fluid,” Fluid Dynamics 39(5), 771–778 (2004).

    Article  Google Scholar 

  4. A.N. Prokunin, “Microcavitation and Detachment of a Stokes Particle in Near-Wall Slow Motion,” in Proc. ICTAM’ 04, Warsaw, Poland, 2004 (2004). Abstr. Book and CD-ROM.

  5. J. Ashmore, C. del Pino, and T. Kullin, “Cavitation in a Lubrication Flow between a Moving Sphere and a Boundary,” Phys. Rev Lett. 94, 124501–124504 (2005).

    Article  ADS  Google Scholar 

  6. L. Yong, J.R.T. Seddon, T. Mullin, et al., “The Motion of a Rough Particle in a Stokes Flow Adjacent to a Boundary,” J. Fluid Mech. 557, 337–346 (2006).

    Article  ADS  Google Scholar 

  7. A.N. Prokunin and M.C. Williams, “Spherical-Particle Sedimentation along an Inclined Plane at Large Reynolds Numbers,” Fluid Dynamics 31(4), 567–572 (1996).

    Article  Google Scholar 

  8. J.R. Smart, S. Beimfohr, and D.T. Leighton, “Measurement of the Translational and Rotational Velocities of a Noncolloidal Sphere Rolling down a Smooth Inclined Plane at Low Reynolds Number,” Phys. Fluids. A 5(1), 13–24 (1993).

    Article  ADS  Google Scholar 

  9. A.J. Goldman, R.G. Cox, and H. Brenner, “Slow Viscous Motion of a Sphere Parallel to a Plane Wall. I. Motion through a Quiescent Fluid,” Chem. Eng. Sci. 22(4), 637–651 (1967).

    Article  Google Scholar 

  10. I.A. Nyrkova, A.N. Semenov, A.R. Khokhlov, et al., “Motion of a Probe Ball in the Fluid under Centrifugal Acceleration,” J. Phys. II. France 7(11), 1709–1728 (1997).

    Article  Google Scholar 

  11. A.N. Prokunin, “Spherical-Particle Sedimentation along an Inclined Plane at Small Reynolds Numbers,” Fluid Dynamics 33(4), 573–579 (1998).

    Article  MATH  Google Scholar 

  12. G.C. Johnson, “Flow Characteristics of Linear, End-Blocked DimethylPolysiloxane Fluids,” J. chem. Engng. Data 6(2), 275–278 (1961).

    Article  Google Scholar 

  13. K.P. Galvin, Y. Zhao, and R.H. Davis, “Time Averaged Hydrodynamic Roughness of a Noncolloidal Sphere in Low Reynolds Number Motion Down an Inclined Plane,” Phys. Fluids 13(11), 3101–3109 (2001).

    Article  MathSciNet  ADS  Google Scholar 

  14. A.N. Prokunin and R.V. Slavin, “The Effect of Nonequilibrium Concentration of the Air Dissolved in a Fluid on Sphere Motion along a Wall,” Dokl. Ross. Akad Nauk (6), 1–4 (2007).

Download references

Authors

Additional information

Original Russian Text © P.V. Kozlov, A.N. Prokunin, R.V. Slavin, 2007, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2007, Vol. 42, No. 6, pp. 93–102.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozlov, P.V., Prokunin, A.N. & Slavin, R.V. Effects of atmospheric pressure and air concentration in the fluid on the motion of a rigid sphere along a wall (experiment). Fluid Dyn 42, 950–958 (2007). https://doi.org/10.1134/S0015462807060105

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462807060105

Keywords

Navigation