Rheology of particulate suspensions with non-Newtonian fluids in capillaries

Particulate suspensions occur in situations from blood flow to slurries in drilling applications. Existing investigations of these suspensions generally concentrate on the impact of particle volume fraction for suspensions in Newtonian fluids under free-flow conditions. Recently, particulate-polymer composites have been used in additive manufacturing (AM). Here, the polymer becomes a shear-thinning non-Newtonian fluid during extrusion, creating a particulate suspension. Motivated by the challenges in AM of particulate composites, this study investigates the rheology of suspensions of micrometre-sized particles in shear-thinning silicone while extruded through AM-scaled nozzles (millimetre-scale diameters). The suspensions were observed to follow a power-law behaviour and their rheology was investigated through the measured flow consistency ( $$ ) and behaviour ( $$ ) indices. The impact of the particle volume fraction ( $$ ) and the ratio ( $$ ) of the capillary inside diameter to the particle diameter on both indices were measured. $$ was found to be only impacted by the suspension fluid type and $$ . $$ was found to be constant at large $$ , but decreased and then increased to infinity with $$ decreasing. Based on its behaviour, $$ was categorized into two conditions and analysed separately with semi-empirical models. The impact of particle size distribution was also investigated.