IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v171y1991i3p575-604.html
   My bibliography  Save this article

Hydrodynamic interaction of a spherical particle with a planar boundary I. Free surface

Author

Listed:
  • Perkins, G.S.
  • Jones, R.B.

Abstract

We construct the grand resistance and mobility matrices for a hard sphere moving in an incompressible viscous fluid with a planar boundary. Using the result for a single sphere in an unbounded fluid we express the hydrodynamic interaction between the sphere and wall in terms of the Green function for the bounded fluid. We express the resistance and mobility matrices in terms of a set of scalar resistance and mobility functions that depend on the sphere radius and the distance to the boundary. We derive a reflection theorem for a complete set of solutions to the Navier-Stokes equations and use it to compute a series expansion of the scalar transport functions in inverse powers of the distance to the wall. For the simplest case, a boundary which is a free surface, we give numerical tables of the first twenty expansion coefficients for the functions describing translation and rotation of a sphere with stick boundary conditions.

Suggested Citation

  • Perkins, G.S. & Jones, R.B., 1991. "Hydrodynamic interaction of a spherical particle with a planar boundary I. Free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(3), pages 575-604.
    • Handle: RePEc:eee:phsmap:v:171:y:1991:i:3:p:575-604
    DOI: 10.1016/0378-4371(91)90302-S
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190302S
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(91)90302-S?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bhattacharya, S. & Bławzdziewicz, J. & Wajnryb, E., 2005. "Many-particle hydrodynamic interactions in parallel-wall geometry: Cartesian-representation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 294-340.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:171:y:1991:i:3:p:575-604. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.