SynopsisA new, theoretically more satisfactory, definition for relative viscosities of suspensions in generalized Newtonian media is presented, which according to the viscosities of suspensions and pure liquids should be compared to equal aver--aged squared strain rates 3 in the liquid phases. value of 2.5 over the whole range of n. According to the other definitions, KE is 2.5 only for n = 1; with n decreasing to zero, KE decreases linearly to 0.75 (n, under equal strain rate) or rises exponentially to m (7,. under equal strain stress). The values of KE, as deduced from experiments, obey the theoretical interrelations derived. There are strong indications that the value of n has no influence on the inhomogeneity in rate of strain in dilute suspensions.