E i n s t e i n ' s theory forms the sole basis for a theoretical consideration of the factors governing the viscosity of a suspension.T h e practical significance of this theory is however only very relative, since E i n s t e i n ' s theory is only valid for very dilute suspensions ( t o concentrations of a few percents by volume). while in practice suspensions of medium to fairly high concentration are usually dealt with. I. It was found possihlc to obtain theorctically a (1-c relation for il suspensioii of spherical particles which is in good agreement with the experimental results recently obtained by E i I c I s with asphalt emulsions. T h e relation derivcd by us is found to he valid u p to high concentrations. T h e fluidity relation is as fo1low.z
2.T h e physical concept upon which the f/--,' rchtion ohtained is hascd may he suminnrizrd iis follows: a ) Duc to the fall in velocity in the liquid ii suspendcd particle takes on a rotiitiiiy mot:on. To this rotating motioii corresponds a n cxtra motion ot the liquid. T h e lattzr may now he considrred ,IS thc cause of ill1 encrgy dissipirtion I E I n x t c I n )or iis thc C~I U S C of a fiow of liquid .it the wiills enclosing thr flc~winq suspeiiwm. in ii direction opposite t o that of thr main flow. iind thus ohscrv,il,lc $11 ,I rcl;itively yrc-iit distiiricr froin the suspendcd p;irticlc IB II r g e r s). Occuirriicc of th: tcrin -2.5 ,.