IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v240y1997i1p229-238.html
   My bibliography  Save this article

Viscometric effects in a dense hard-sphere fluid

Author

Listed:
  • Montanero, JoséMaría
  • Santos, Andrés

Abstract

A recently proposed Monte Carlo simulation method for the Enskog equation is applied to uniform shear flow. This state is characterized by uniform density n and temperature T and a linear velocity profile: u(r)=a·r, aαβ=aδαxδβy. In each unit time step Δt, the peculiar velocities {Vi} of N particles are updated in two stages. In the free streaming stage, the velocity Vi is changed into Vi→Vi−a·Vi Δt; in the collision stage, Vi → Vi − (σi ·Gij) σi with probability equal to 4πσ2Θ(σi ·Gij)χ(n)nΔt, where σi is a random unit vector, σ is the diameter of the spheres, Gij ≡ Vi − Vj − σa · σi, Vj being the velocity of a random partner j, and χ(n) is the equilibrium pair correlation function at contact. The kinetic and collisional transfer contributions to the pressure tensor are calculated as functions of density. The Navier-Stokes shear viscosity is seen to agree with the theoretical value. Furthermore, the nonlinear Burnett coefficients associated with normal stresses are obtained.

Suggested Citation

  • Montanero, JoséMaría & Santos, Andrés, 1997. "Viscometric effects in a dense hard-sphere fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(1), pages 229-238.
    • Handle: RePEc:eee:phsmap:v:240:y:1997:i:1:p:229-238
    DOI: 10.1016/S0378-4371(97)00146-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197001465
    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/S0378-4371(97)00146-5?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. Frezzotti, Aldo, 2000. "Monte Carlo simulation of the uniform shear flow in a dense rough sphere fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 161-180.

    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:240:y:1997:i:1:p:229-238. 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.