IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v159y1989i1p1-18.html
   My bibliography  Save this article

Hydrodynamic interactions in suspensions with periodic boundary conditions

Author

Listed:
  • Felderhof, B.U.

Abstract

We study hydrodynamic interactions in suspensions with periodic boundary conditions with the purpose of performing computer simulations with many particles per unit cell. The use of periodic boundary conditions minimizes surface effects. The formulation of the problem is complicated due to the long range nature of the hydrodynamic interactions. We show how macroscopic considerations may be used to arrive at a periodic solution of the flow equations. We derive expressions for the mobility tensors of freely moving particles, as well as for the friction tensor of a rigid array. Finally we discuss the high frequency effective viscosity of suspensions with periodic boundary conditions.

Suggested Citation

  • Felderhof, B.U., 1989. "Hydrodynamic interactions in suspensions with periodic boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 1-18.
    • Handle: RePEc:eee:phsmap:v:159:y:1989:i:1:p:1-18
    DOI: 10.1016/0378-4371(89)90144-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437189901441
    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(89)90144-1?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.

    References listed on IDEAS

    as
    1. Smith, E.R. & Snook, I.K. & Van Megen, W., 1987. "Hydrodynamic interactions in Brownian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 441-467.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.
    2. Cichocki, B. & Felderhof, B.U., 1989. "Periodic fundamental solution of the linear Navier-Stokes equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 19-27.
    3. Snook, I.K. & Briggs, K.M. & Smith, E.R., 1997. "Hydrodynamic interactions and some new periodic structures in three particle sediments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 547-559.

    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:159:y:1989:i:1:p:1-18. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.