Advertisement

On a Continuum Model of Blood Flow

  • Carlo Ferrari

Abstract

A continuum model of blood flow is considered,which differs from those proposed by Kline et al. [1], and by Popel at al.[4]as for the constitutive equation relating the gradient of the chemical potential to the diffusion flux vector is concerned. Then, the equations of the blood flow in a two-dimensional channel are written and solved in the case in which the ratio of a typical length of the red-cells to the width of the channel is small.

Keywords

Constitutive Equation Continuum Model Schmidt Number External Solution Internal Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. [1]
    K.A.Kline; S. J.Allen; C.N.De Silva: A Continuum Approach to Blood FZow, Biorheology 1968, vol.5Google Scholar
  2. [2]
    A.Cemal Eringen: Theory of Micropolar Fluids, Journal of Math, and Mech., 1966, vol.16, n.1Google Scholar
  3. [3]
    E.L.Aero,A.N.Bulygin, E.V. Kushinskii: Asymmetric Hydromechanics, Journal of Appl. Math, and Mech.(Prikl.Mat.i Mek.) 1965, vol.29, n.2Google Scholar
  4. [4]
    A.S.Popel, S.A.Regirer, P.I.Usick: A Continuum Model of Blood Flow, Biorheology, 1974, vol.11Google Scholar
  5. [5]
    P.P.Ho;L.G.Leal: Inertial Migration of Rigid Spheres in Tuo-DimensionalUnidirectional Flows, Journal of Fluid Mech., 1974, vol.65 part 2Google Scholar
  6. [6]
    A.Cemal Eringen: Theory of Thermomicro fluides, Journal of Math.Anal, and Appl., 1972, vol.38Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • Carlo Ferrari

There are no affiliations available

Personalised recommendations