Rheology pp 633-638 | Cite as

A Two-Fluid Model for Highly Concentrated Suspension Flow Through Narrow Tubes and Slits: Velocity Profiles, Apparent Fluidity and Wall Layer Thickness

  • Daniel Quemada
  • Jacques Dufax
  • Pierre Mills


Viscometric flows of highly concentrated suspensions in narrow slits and pipes exhibit a two phase structure if the particle size cannot be considered as infinitesimally small in comparison with the transverse dimension of the vessel. In pipes this leads to a Well-known1,2 annular structure with a particle rich axial core surrounded by a particle depleted wall layer. The former results in a blunted velocity profile and in a reduced mean concentration in the tube, compared to the feed reservoir concentration1. The latter works as a lubricant layer which lowers the apparent viscosity, hence, which decreases extensively the viscous energy loss, even if this layer is very thin, as it was usually observed with highly concentrated suspensions.


Shear Rate Wall Shear Stress Wall Layer Concentrate Suspension Narrow Slit 
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  1. 1.
    R. Fahraeus, The suspension Stability of Blood, Physiol.Rev. 9: 241–274 (1929).Google Scholar
  2. 2.
    A.D. Maude and R.L. Whitmore, Theory of the Blood Flow in Narrow Tubes, J.Appl.Physiol. 12:105–113 (1958).Google Scholar
  3. 3.
    D. Quemada, Rheology of Concentrated Disperse Systems, Rheol. Acta (a) 16:82–94(1977),(b)17:632-642 (1978), (c) 17:643-653 (1978).CrossRefGoogle Scholar
  4. 4.
    H.W. Thomas, The Wall Effect in Capillary Instruments, Biorheology 1:41–56 (1962).Google Scholar
  5. 5.
    J.H. Barbee and G.R. Cokelet, The Fahraeus Effect, Microvasc. Res. 3:6–16 (1971).CrossRefGoogle Scholar
  6. 6.
    J. Dufaux, B. Grinbaum, D. Quemada and P. Mills, Indirect Determination of Plasma Layer Thickness in Plane Capillaries. Proceed. of the European Symposium “Hemorheology and Diseases”, 17-19 Nov.1979, Nancy (France), Douin, Paris (in press).Google Scholar
  7. 7.
    S.E. Charm, G.S. Kurland and S.L. Brown, The Influence of Radial Distribution and Marginal Plasma Layer on the Flow of Red Cell Suspensions, Biorheology 5:15–43 (1968).Google Scholar
  8. 8.
    T. Devendran and H. Schmid-Schonbein, Axial Concentration in Narrow Tube Flow for Various RBC Suspensions as Function of Wall shear stress. Pflügers Arch. 355:R20 (1975).Google Scholar
  9. 9.
    R.L. Whitmore, Rheology of the Circulation, Pergamon Press, Oxford (1968).Google Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Daniel Quemada
    • 1
  • Jacques Dufax
    • 1
  • Pierre Mills
    • 1
  1. 1.Laboratoire de BiorhéologieUniversité Paris VIIParisFrance

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