By C. M. Rodkiewicz (eds.)
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Additional resources for Arteries and Arterial Blood Flow
He started from a suspension of spheres at n1 = nF f(~1) where nF ~1 , then having a viscosity is the viscosity of suspending fluid and f(~) appears as the relative viscosity. 3) as ~1 + 0 . Adding a finite amount ~2 he obtai- ned a new suspension, the viscosity of which was written n1+2 = n1 f($ 21 ), where ~21 ~2/(1 - A ~1) is the concentration of ~2 in the remai- = ning liquid filling the space not occupied by ding factor. f(~21). 9) accounting for the Einstein's limit at to polydisperse suspensions.
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.
3. 1•. 8) approximatively holds as shown on Fig. 7 (from COKELET, 1972). 28) ~ proposed by LANDEL et al. (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 '!
Arteries and Arterial Blood Flow by C. M. Rodkiewicz (eds.)