Flow Control by Feedback Stabilization and Mixing [Paperback]

This accessible book pioneers feedback concepts for control mixing. It reviews research results appearing over the last decade, and contains control designs for stabilization of channel, pipe and bluff body flows, as well as control designs for the opposite problem of mixing enhancement.

In the 70+ year history of control theory and engineering, few applications have stirred as much excitement as flow control. The same can probably be said for the general area of fluid mechanics with its much longer history of several centuries. This excitement is understandable and justified. Turbulence in fluid flows has been recognized as the last great unsolved problem of classical 1 physics and has driven the careers of many leading mathematicians of the 20th century.2 Likewise, control theorists have hardly ever come across a problem this challenging. The emergence of flow control as an attractive new field is owed to the break? throughs in micro-electro-mechanical systems (MEMS) and other technologies for instrumenting fluid flows on extremely short length and time scales. The remaining missing ingredient for turning flow control into a practical tool is control algorithms with provable performance guarantees. This research mono? graph is the first book dedicated to this problem-systematic feedback design for fluid flows.1 Introduction.- 2 Governing Equations.- 3 Control Theoretic Preliminaries.- 4 Stabilization.- 5 Mixing.- 6 Sensors and Actuators.- A Coefficients for the Ginzburg-Landau Equation.Dedicated to the problem of systematic feedback design for fluid flowsThis topic is of great interest to control theorists, fluid mechanics, mathematicians and physicists, therefore the book contains preliminaries to make it's content accessible to graduate students from all of these fields. Overviews of the basics have been provided to help readers from each field to understand the whole text.Springer Book Archives