Modern aviation requirements for energy efficiency and environmental compatibility push air vehicle development toward highly integrated systems in which each component, and the system, is optimized for overall performance. Embedded engines and boundary layer ingesting propulsion systems have the potential to simultaneously improve fuel burn, noise, and emissions. Energizing the boundary layer of a drag-producing object has been recognized as a viable method to effectively reduce drag as part of the propulsion process for many years. For decades, investigators have suggested different methods for energizing boundary layers with propulsion systems. A wealth of publications forms a body of work including mathematical predictions of the effects of boundary layer ingestion and explanations of the physical basis for the process. This paper seeks to present a review of this work, in light of results from current research, to provide a reference and vision for the continuing development of boundary layer ingesting embedded engine technology.