New Directions in Flow Control

"New Directions in Flow Control" is a technical book that focuses on the manipulation of fluid flows to achieve desired changes in the behavior of liquids. This capability offers numerous technological advantages, including reduced fuel costs for vehicles and improved efficiency in industrial processes. The book addresses the current gap in the mathematical analysis and design of control systems for flow control problems. It presents innovative approaches to modeling and control based on Proper Orthogonal Decomposition (POD) and Galerkin projection. By introducing new techniques rooted in averaging theory and central manifold theory, hidden structures within the model are revealed. The book also includes nonlinear analysis and control approaches, supplemented by examples and case studies, including the control of cavity flows.