Abstract
In a previous paper (Bull. Math. Biophysics,29, 565–574, 1967) the author developed equations to represent velocity and hematocrit profiles in quasi-Poiseuille flow of blood. It was assumed that energy dissipation was minimized and that the viscosity depended on hematocrit and shear rate according to the Casson formula. These equations are simplified considerably, placed in a form more suitable for numerical solution and shown to depend on a single dimensionless parameter. Typicalin vivo values for this parameter are calculated.
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Literature
Cokelet, G. R., E. W. Merrill, E. R. Gilliland, H. Shin, A. Britten and R. E. Wells, Jr., 1963. “The Rheology of Human Blood: Measurement Near and at Zero Shear-Rate.”Trans. Soc. Rheol.,7, 303–318.
Deakin, M. A. B. 1967. “Erythrocyte Distribution in Arterial Blood Flow: II. The Hypothesis of Minimal Energy Dissipation.”Bull. Math. Biophysics,29, 565–574.
Green, H. D. 1950. “Circulatory System: Physical Principles.” InMedical Physics, Vol. 2, O. Glasser, Ed. Chicago: The Year Book Publishers, Inc., 228–251.
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Deakin, M.A.B. Erythrocyte distribution in arterial blood flow: IV. Simplification of the proposed equations. Bulletin of Mathematical Biophysics 30, 27–32 (1968). https://doi.org/10.1007/BF02476937
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DOI: https://doi.org/10.1007/BF02476937