Filtration is a process used to separate solids from liquids by passing the mixture through a porous medium that retains the solids. There are several mechanisms and theories that describe how filtration works, including straining, impingement, and Poiseuille's equation which relates flow rate to pressure difference, resistance, and other factors. Common types of filtration include surface filtration and depth filtration. Key filtration equipment includes plate and frame filters, filter leaves, and cartridge filters, which separate solids using pressure or vacuum and provide advantages like large processing areas and efficient washing.