This paper introduces a dielectrophoretic system for the analysis Clausius-Mossotti factor. The literature in this domain has shown that the real part contains information calculated by the crossover frequency. We validated in this study that the imaginary part also contains the information calculated by the relaxation frequency. Our findings confirm a relationship between relaxation frequency and crossover frequency, and also the variation of the imaginary part as a function of real part, being a semicircle, and finally we applied our model of polystyrene in deionised water.

Analyses of rheological properties and electrical conductivity (σ) at direct current have been employed in order to investigate the effects of calcium oxide on the coagulation process during sludge treatment in the textile industry. In this context, rheological and electrical measurements were performed on five samples - one that contained raw sludge and the other four that were prepared from the raw sludge and different amounts of calcium oxide: 2, 3, 4, 5% (w/w). Rheological behavior of these samples was analyzed using the Herschel-Bulkley modified model. The influence of calcium oxide content on the rheological parameters such as infinite viscosity, the yield stress, the consistency coefficient, and the consistency index, are presented and discussed. The impact of the calcium oxide content on pH and conductivity were also examined. Similar behaviors have been seen in the evolution of conductivity and infinite viscosity as a function of the calcium oxide content. These latter characteristics were modeled by an equation using two power laws. This equation was able to fit very well the evolution of electrical conductivity and also the viscosity versus the percentage of calcium oxide to predict the optimal amount of calcium oxide (3%) to achieve the coagulation step during sludge treatment.