A population balance model for cosmetic emulsion design: A multiscale approach

The present study describes the relationship between operating conditions, product formulation, and product properties at different time and spatial scales applying a multiscale approach to the design of cosmetic emulsions. The study couples the rheological and textural properties of cosmetic emulsions, product formulation, and operating conditions with the drop size distribution (DSD) through the implementation of a Population Balance Model (PBM). The results indicate that the adjustable parameters of the PBM can be related to product formulation and operating conditions, which allows for the incorporation of emulsified product DSD in model -based design strategies. Empirical relationships for the model adjustable parameters of the model were proposed, allowing the application of the PBM over the experimental thickener concentration and agitation rate ranges. These relationships indicate that PBM can be coupled to the integrated emulsified product and process design, enabling the optimization of the production process, and enhancing the final product's quality.