By C. M. Rodkiewicz (eds.)
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3 Relative viscosity versus volume fraction~ of particles, in concentrated suspensions Infinite viscosity is found at packing concentration ~M . ~ - 1+~ 1 0~------------~------~ We shall give a detailled study of these equations and of some purely empirical relations. 1. Phenomenological equations A first group of studies refers to "effective medium" theories, considering the suspension with finite concentration ~ , a9 a fictive suspending fluid,having a (unknown) viscosity tal fraction of. spheres, ~(~) , to which an incremen- d~ , is added.
4. Nevertheless, more precise fittings give very interesting results. Fig. 1 ~m) and with that of VAND (1948) on nearly monodisperse suspensions of glass spheres (100 ~m < 2a < 160 ~m). 4 Relative viscosity n versus volume fractioK from different data. (From QUEMADA, 1977). 20) fitting Vand's and Eiler's data. 5 found in very fair agreement with the Eiler's data but not with the Vand's one . It has been postulated (QUEMADA, 1977) that such a discrepancy could originate from the difference between the true concentration and the effective one ¢ ¢eff , this difference resulting from trapped fluid by transient doublets, triplets ....
E. a newtonian behaviour. 4D) will involve the same characteristic timeT (as a relaxation time for thixotropic buildup of the structure at y= 0) since nr = nr ( tr) in this case. In fact, critical tube Reynolds number, pVR/n is found 1 at least two orders in magnitude lower than the usual critical value for ordinary fluids. In the case of more complex systems, each additional variable requires a new dimensionless variable in the viscosity equation, as shown in the following examples. a1 of semi axes of rigid spheroid.