IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v145y1987i3p361-407.html
   My bibliography  Save this article

Pair-correlation function of a fluid undergoing a simple shear flow: Solution of the Kirkwood-Smoluchowski equation

Author

Listed:
  • Koo, H.-M.
  • Hess, S.

Abstract

Point of departure is an extended Kirkwood-Smoluchowski (K-S) equation for the pair-correlation function (PCF) which is applicable to a rather large range of shear rates. A solution procedure for the K-S equation in a stationary plane Couette-flow (simple shear flow) is outlined where the vorticity of the flow field is taken into account exactly and a perturbation calculation is made with respect to the deformation rate associated with the symmetric traceless part of the velocity gradient field. The first order solution is obtained explicitly and discussed in details. To obtain specific results, the intermolecular potential is assumed to consist of a hard core and a soft attractive force. Especially for hard spheres we obtain a completely explixit expression for the PCF, which is displayed graphically for some typical cases. It shows the ellipsoidal distrotion of the PCF (or the structure factor) observed by experiments1,2) at lower shear rates and a twisted distortion at higher shear rates.

Suggested Citation

  • Koo, H.-M. & Hess, S., 1987. "Pair-correlation function of a fluid undergoing a simple shear flow: Solution of the Kirkwood-Smoluchowski equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 145(3), pages 361-407.
    • Handle: RePEc:eee:phsmap:v:145:y:1987:i:3:p:361-407
    DOI: 10.1016/0378-4371(87)90002-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437187900021
    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(87)90002-1?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. Hoover, Dale M. & Perkinson, Leon B., 1975. "Hired Tobacco Harvest Work Force Characteristics in an Eight County Area of North Carolina," 1975 Annual Meeting, August 10-13, Columbus, Ohio 284064, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    Full references (including those not matched with items on IDEAS)

    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. Voigt, Harald & Hess, Siegfried, 1994. "Comparison of the intensity correlation function and the intermediate scattering function of fluids: a molecular dynamics study of the Siegert relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(1), pages 145-164.
    2. Hoff, Frederic L. & Givan, William D. & Shugars, Owen K. & Grise, Verner N., 1977. "Flue-Cured Tobacco Mechanization and Labor: Impacts of Alternative Production Levels," Agricultural Economic Reports 307646, United States Department of Agriculture, Economic Research Service.
    3. Michels, J.P.J. & Trappeniers, N.J., 1985. "Molecular dynamical calculations of the viscosity of Lennard-Jones systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(1), pages 281-290.
    4. Ackerson, Bruce J. & Clark, Noel A., 1983. "Sheared colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 221-249.
    5. Hess, Siegfried, 1984. "Decay of bcc-structure and of bond-orientational order in a fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 509-528.
    6. Phtsuki, Toshiya, 1981. "Dynamical properties of strongly interacting Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 441-458.
    7. Ackerson, Bruce J., 1991. "Shear induced order in equilibrium colloidal liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(1), pages 15-30.
    8. Lebon, G. & Perez-Garcia, C. & Casas-Vazquez, J., 1986. "On a new thermodynamic description of viscoelastic materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 531-545.
    9. Vermesse, J. & Provansal, M. & Brielles, J., 1978. "Mesure de la viscosite du krypton gazeux dense pres de la solidification, et comparaison avec une simulation sur ordinateur," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(1), pages 282-294.
    10. Vermesse, J & Vidal, D, 1977. "Comparaison entre la viscosité des gaz rares denses et la viscosité de modèles statistiques," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(2), pages 429-447.

    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:145:y:1987:i:3:p:361-407. 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.