This book provides methods necessary to analyze complex particulate systems and related phenomena. It covers liquid-liquid, gas-liquid, and solid-liquid dispersions. It provides physical, chemical, and mathematical descriptions of fundamental processes influencing crystal size and shape, suspension reology, interfacial area of drops and bubbles in extractors, and bubble columns. It discusses connections between turbulent mixing mechanism and precipitation, the influence of fine-scale turbulence structure, and interfacial phenomena. It presents a multifractal approach to mathematical modeling as well as PBE solving methods.