Viscosity of Solutions and Suspensions. I. Theory

The Viscosity of Suspensions of Spheres: A Note on the Particle Interaction Coefficient

“…T h e kinetic energy correctioil was negligible. Can hydrodynamic interaction between the spheres and the wall, the effect of which has been shown in Vand's theoretical analysis (5,6) to be equivalent to interposing a layer of pure medium between the suspension and the wall of thickness D = 0.650 a , a being the diameter of the spheres. This interaction gives a pseudo-slip a t the wall, and for flow through a capillary of radius R the true relative viscosity q r is given by where the correction factor…”

Ultrasonic wave propagation in concentrated slurries – The modelling problem

“…Vand [15] extended this idea to allow for temporary agglomerates of particles to form on a random basis, giving temporary particle doublets, triplets, and so on; Table 1 gives the result up to second order, including single particles and doublets only. Batchelor [16] considered the stress in the system, obtaining a result to second order in volume fraction.…”

Mass Transport to Cylindrical Electrodes Rotating in Suspensions of Inert Microspheres

“…P=GO [16] Substituting Equation [9] for G written for a single phase fluid, Equation [16] can be written P = 0.06451tl p·7Jl.3r;3.4o2.7 [17] where I is the electrode length. Thus, the ratio PIP • may be expressed as :.…”

“…One can also compare the energy required for achieving a higher limiting current density by rotating the cylinder faster without particles present, given by Equation [17], with that for keeping the speed constant and adding the 46.3 ~ polystyrene spheres. Such an analysis is presented in Figure 17; adding solids at 3000 rpm is compared with rotating the cylinder faster without particulates.…”

“…Poiseuille noticed such an effect in 1836 in his studies of blood flow in which he mentioned a corpuscle-free region near the walls of a capillary (16). The thickness of this layer is estimated to be on the order of 1 to 2 particle radii (17,18,19,20). The formation of such a layer increases the transport to the wall by increasing the local shear rate.…”