Evaluation Of Einstein´S Model For Dilute Suspensions Of Clays

It is known that an addition of rigid particles into a fluid medium changes the flow field. Therefore, the rheological behavior of suspensions will be hardly Newtonian, such as their continuum phase. This phenomena was studied by Einstein in 1906 (Einstein, 1956) for the single case of spherical particles in a continuum liquid of a very dilute suspension. The final analysis applied for suspensions was derived from the evaluation of the behavior of ideal gases, finding a simple expression for the viscosity of the dispersion. All the following works about the hydrodynamics of suspensions at low and high solid contents was based in the Einstein´s model. For clay minerals suspensions where the physical and chemical properties of the particles are complex, it was found that the Einstein´s model is not a good approximation, even so for the most dilute dispersions. The present paper shows a new approximation that describes the non-Newtonian behavior of the suspensions of clays, and the attempt of understand how the different fine sizes, shapes and physico-chemical properties of clay particle surfaces give specific characteristics of plasticity, viscosity or visco elasticity to suspensions. Keywords: viscosity, clay minerals, einstein´s model, dilute suspensions