A new semi-empirical correlation for estimating settling dynamics of suspensions in viscoelastic shear-thinning fluids

The optimization of sedimentation and hydrotransport systems involving settling suspensions in viscoelastic fluids has been hindered by a lack of robust and scalable mathematical models that accurately characterize settling dynamics in such scenarios. This study aimed to enhance understanding of this problem by developing a semi-empirical correlation that is dependent on space and time. This correlation describes batch settling char-acteristics during the 'acceleration phase' of settling, including changes in settling velocity and solids concen-tration of suspensions in a viscoelastic shear-thinning fluid under quiescent conditions. A novel dimensionless ratio-the 'particle-acceleration' number-was developed to simulate time-dependent settling velocities. The correlation's accuracy was confirmed through validation which involved predicting two key parameters-the duration of the acceleration settling phase (with 86-98% accuracy) and the final solids concentration at the sample depth once the acceleration phase ended (with 82-96% accuracy).

Automated summary

This study aimed to enhance understanding of settling dynamics in viscoelastic fluids by developing a semi-empirical correlation and a dimensionless ratio, which accurately described the characteristics of settling suspensions.