Einstein established a relationship between the viscosity of a disperse system and the volume fraction of a dispersed phase. The formula does not take into account the presence of adsorption, solvate, and double electric layers in the particles. Since the volume of the surface layers is linearly related to the specific surface of the dispersed system, the viscosity in the system should increase with the increase in the specific surface area of the disperse phase, ie, with a decrease in the size of the nanoparticles.
Generally, the nanofluid viscosity coefficient depends on the nanoparticle size. Ignoring nanoparticle material, the viscosity of the nanofluid increases with decreasing nanoparticle size. For more details you can see the following:
Article Dependence of the viscosity of nanofluids on nanoparticle si...
The aggregation occurs whenever the Brownian motion and Van der Waals attractive forces of the nanoparticles were greater than the repulsive forces based on DLVO theory. Hence, with a decrease in the size of the nanoparticles will increasing the aggregation due to the higher relative surface and more surface atoms resulting in the increase in the viscosity. for this reason, we use the dispersion materials to delay from nanoparticles growth with increasing storage time.