Separation by density difference, compaction, and drainage is presented, along with formulas developed for bottle centrifuges, solid wall centrifuges, disk centrifuges, and hydrocyclones. The Σ‐concept development and several practical variants are discussed. Liquid–liquid separation interface location formulas are reviewed. An updated performance chart for selection and design is provided. Models for centrifuge energy consumption based on Σ‐concept are discussed. Centrifuge components, including a breakdown of power and energy losses with applicable information for centrifuges, are represented. Centrifuge materials of construction and their corrosion, erosion, and strength characteristics are reviewed. Stresses generated owing to rotation and process materials, abrasion resistance, and noise generated by centrifuges are discussed. The various types of sedimentation and filtration equipment are reviewed. Examples of use, rates, and performance of bottle; disk; decanter; preparation; zonal; tubular; perforated basket; inverting filter; conical; and continuous single‐ and multistage pusher centrifuges are reviewed. For a brief discussion of gas centrifuges and their use in uranium enrichment, please see the previous editions.