On a Continuum Model of Blood Flow

  • Carlo Ferrari


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.


Migration Vorticity 


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    K.A.Kline; S. J.Allen; C.N.De Silva: A Continuum Approach to Blood FZow, Biorheology 1968, vol.5Google Scholar
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    A.Cemal Eringen: Theory of Micropolar Fluids, Journal of Math, and Mech., 1966, vol.16, n.1Google Scholar
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    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
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    A.S.Popel, S.A.Regirer, P.I.Usick: A Continuum Model of Blood Flow, Biorheology, 1974, vol.11Google Scholar
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    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
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    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

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