A novel method for precise determination of maximum particle loading fraction in highly concentrated suspensions

Hypothesis

Accurately predicting the maximum particle loading fraction (ϕ_max) of a suspension remains a significant challenge in both theoretical modeling and industrial applications.

Experiments

We present a novel method that surpasses existing approaches by precisely determining ϕ_max through predicting the general suspension viscosity at a constant shear rate as a function of particle volume fraction. Our approach leverages boundary and initial conditions to pinpoint ϕ_max with precision.

Findings

The proposed model flawlessly captures viscosity behavior across the entire range of volume fractions without pre-assumptions or limitations, showcasing its remarkable versatility. We validate the efficacy of our method by comparing its predictions with established theoretical models and diverse experimental data for various suspensions, including nanofluids and yield stress fluids, as reported in the literature. This extends to the evaluation of crucial parameters related to ϕ_max within existing suspension viscosity models. Beyond its immediate applications, this approach opens avenues for exploring relationships between ϕ_max and other suspension properties, potentially leading to broader advancements in understanding or manipulating suspension rheological behavior in material science.