Scale-up of batch rotor–stator mixers. Part 1—power constants

Droplet Size Distribution in Emulsions

The droplet size in emulsions is known to affect the rheological properties and plays a crucial role in many applications of emulsions. Despite its importance, the underlying mechanisms governing droplet size in emulsification remain poorly understood. We investigate the average drop size and size distribution upon emulsification with a high-shear mixer for model oil-in-water emulsions stabilized by a surfactant. The size distribution is found to be a log-normal distribution resulting from the repetitive random breakup of drops. High-shear emulsification, the usual way of making emulsions, is therefore found to be very different from turbulent emulsification given by the Kolmogorov-Hinze theory, for which power-law distributions of the drop size are expected. In agreement with this, the mean droplet size does not follow a scaling with the Reynolds number of the emulsification flow but rather a capillary number scaling based on the viscosity of the continuous phase.

Influence of encapsulation variables on formation of leuprolide-loaded PLGA microspheres

Emulsion-based solvent evaporation microencapsulation methods for producing PLGA microspheres are complex often leading to empirical optimization. This study aimed to develop a more detailed understanding of the effects of process variables on the complex emulsification processes during encapsulation of leuprolide in PLGA microspheres using a high-shear rotor-stator mixer. Following extensive analysis of previously developed formulation conditions that yield microspheres of equivalent composition to the commercial 1-month Lupron Depot, multiple variables during the formation of primary and secondary emulsion were investigated with the aid of dimensional analysis, including: rotor speed (ω) and time (t), dispersed phase fraction (Φ) and continuous phase viscosity (µ_c). The dimensionless Sauter mean diameter (d_3,2) of primary emulsion was observed to be proportional to the product of several key dimensionless groups (Φ₁,We,Re,ω₁t₁) raised to the appropriate power indices. A new dimensionless group (Θ ) (surface energy/energy input) was used to rationalize insertion of a proportionate time dependence in the scaling of the d_3,2. The dimensionless d_3,2 of secondary emulsion was found proportional to the product of three dimensionless groups ( [Formula: see text] ) raised to the appropriate power indices. The increased viscosity of the primary emulsion, decreased secondary water phase volume and reduced second homogenization time each elevated encapsulation efficiency of peptide by reducing drug leakage to the outer water phase. These results could be useful for dimensional analysis and improving manufacturing of PLGA microspheres by the solvent evaporation method.

Analysis of Power Input of an In-Line Rotor-Stator Mixer for Viscoplastic Fluids

In this work, the power draw and shear profile of a novel in-line rotor-stator mixer were studied experimentally and the laminar flow regime was simulated. The power draw of the rotor-stator mixer was investigated experimentally using viscoplastic shear-thinning fluid and the results of the obtained power consumptions were verified through simulations. The power draw constant and Otto-Metzner coefficient were determined from the result of experimental data and through simulations. A new method is suggested for the determination of the Otto-Metzner coefficient for the Herschel–Bulkley model and the term efficiency is introduced. It was shown that the proposed method can be applied successfully for the prediction of the Otto-Metzner coefficient for the mixing of viscoplastic shear-thinning fluids. The effect of geometry and rotor speed on power consumption and shear rate profile in the investigated mixer is discussed from the results of the simulations. It was found that numerical methods are a convenient tool and can predict the power draw of the in-line rotor-stator mixer successfully.