By C. M. Rodkiewicz (eds.)
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Extra info for Arteries and Arterial Blood Flow
1965) using ~ =,635 fits the data of CHIEN et al. (1967) and (1971) on the one hand and the data of BROOKS et al. (1970) on the other hand. 43 Fig. 7 Relative viscosity vs volume concentration for hardened cells • data of CHIEN et al. -data of BROOKS et al. ( 1970) o data of CHIEN et al. ( 1971 ) curves--- eq. 20) ------- eq. 635 (LANDEL et al, 1965). 8) to the form n = ( 1 - K "( 4> )- 2 · 5 , where '! 5). and K a "packing coefficient or a coefficient of fluid D. Quemada 48 immobilization". e.
CP) 2 104 y-1 (•K)-1 ~~----------~-----------~----------~ 35 34 33 3Z Fig. 2 Temperature variation of plasma viscosity (different protein content) (from COKELET, 19'72). 30 D. Quemada since points measured at 20°C are very close to the experimental curve . 5 times the viscosity of the latter. In fact, this temperature dependence of plasma viscosity results in main part from the similar variation of water viscosity (See Fig. 2 from COKELET, 1972). In order to understand and to quantify these variations we shall return in the following sections to main models which have been built to gain a viscosity equation valid at high concentrations, after recalling classical results on dilute suspensions.
E. e. 13) =0 where kl = lim (- dF w/d¢ ) w ¢-+0 w (3. 15) 1. e. 5). 14) leads to (subscript s omitted) (3' 16) 38 D. Quemada where K is an integration constant. 17) Eq. e. 3), although these two equations are formally equivalent in the Einstein's limit. 17). 4). 3 . For higher concentration one can determine both k1 and K from 'experimental data. Alternatively one can find K ·k1 value - from a packing concentration limit, F(~ ) M '"' = K(k 1 ) ~ + - for a given ¢M' for which (3,18a) 0 Moreover many systems exhibit a smooth approach to zero of the slope dF/d~ as ~ + lim ~ M (dF/d~) , + such as 0 (3.