Skip to main content
SpringerLink
Log in

Spherical particle sedimentation along an inclined plane at small reynolds numbers

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

At small Reynolds numbers, the gravity-driven motion of a solid spherical particle along an inclined plane in a Newtonian liquid initially at rest was studied experimentally. A comparison of the experiment with the calculations showed that motions both with and without particle-plane contact may occur. The latter cannot be explained within the Stokes approximation.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. J. Goldman, R. G. Cox, and H. Brenner, "Slow viscous motion of a sphere parallel to a plane wall.I.,"Chem. Eng. Sci.,22, No. 4, 637 (1967).

    Article  Google Scholar 

  2. M. E. O’Neil and K. Stewartson, "On the slow motion of a sphere parallel to a nearby plane wall,"J. Fluid Mech.,27, Pt. 4, 705 (1967).

    Article  ADS  Google Scholar 

  3. 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, No. 1, 13 (1993).

    Article  ADS  Google Scholar 

  4. K. L. Johnson,Contact Mechanics, Univ. Press., Cambridge (1985).

    MATH  Google Scholar 

  5. A. N. Prokunin and M. C. Williams, "Spherical particle sedimentation along an inclined plane at high Reynolds numbers,"Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 105 (1996).

  6. A. M. J. Davis, M. T. Kezirian, and H. Brenner, "On the Stokes-Einstein model of surface diffusion along solid surfaces: slip boundary conditions,"J. Coll. Interface Sci.,165, No. 1, 129 (1994).

    Article  Google Scholar 

  7. B. V. Deryagin,Theory of Colloid and Thin-Film Stability [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  8. M. I. Kornfeld,Elasticity and Strength of Liquids [in Russian], Gostekhizdat, Leningrad (1951).

    Google Scholar 

  9. A. I. Leonov and A. N. Prokunin,Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids, Chapman and Hall, London (1994).

    Google Scholar 

Download references

Authors
  1. A. N. Prokunin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 129–136, July–August, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prokunin, A.N. Spherical particle sedimentation along an inclined plane at small reynolds numbers. Fluid Dyn 33, 573–579 (1998). https://doi.org/10.1007/BF02698223

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02698223

Keywords

Search

Navigation