Abstract
To predict the time-evolution of powder separation in the Phillips model, we derive an essential condition under a viscosity model for non-Newtonian fluids which considers the effects of shear rate and particle volume fraction. Under the condition, the time-evolution is independent of initial conditions, and powder separation converges in time to smooth steady-states. The proposed condition also determines the existence and uniqueness of smooth steady-states and the degree of powder separation. Finally, we compare the theoretical prediction for the particle volume fraction to numerical verification for the purpose of confirming our prediction.
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