Spheres falling in Newtonian liquids An isolated falling sphere The movement of an isolated single solid sphere under the influence of gravity in a liquid is described by Stokes'law 2△pga2 9n where a is the radius of the sphere, Ap is the density difference between the spheres and the liquid, m is the viscosity of the liquid,and g is the acceleration due to gravity. orbit
The viscosity of suspensions Einstein showed that single particles increased the viscosity of a liquid (h)as a simple function of their phase volume (f), h=h,1+2.5f) There is no effect of particle size,nor of particle position. because the theory neglects the effects of other particles. This equation works for f<10%
The viscosity of suspensions Einstein showed that single particles increased the viscosity of a liquid (h s) as a simple function of their phase volume (f ), h = h s(1+ 2.5f ) There is no effect of particle size, nor of particle position, because the theory neglects the effects of other particles. This equation works forf < 10%
Dispersion Rheology "Interlude" Addition of a particulate phase to a liquid increases its viscosity in proportion to the volume fraction o of the dispersed phase: dispersed-phase volume total volume However,the hydrodynamically-effective volume fraction,efe is often not the same as the formulated volume fraction o