Flow control by feedback stabilization & mixing
- Berlin Springer 2003
- xi,198 p
- Communications & control engineering .
Introduction Why Flow Control? Scope of this Monograph Stabilization 3 (2) Mixing Governing Equations Kinematics Conservation of Mass Conservation of Momentum The Dimensionless Navier-Stokes Equation Cartesian Coordinates Cylindrical Coordinates Perturbations and the Linearized Navier-Stokes Equation Cartesian Coordinates Cylindrical Coordinates Prototype Flows 3D Channel Flow 3D Pipe Flow 2D Channel/Pipe Flow 2D Cylinder Flow
Spatial Discretization Spectral Methods The Fourier-Galerkin Method The Chebyshev Collocation Method Control Theoretic Preliminaries 31 (10) Linear Time-Invariant Systems Classical Control LQG Control H2 Control H∞ Control Nonlinear Systems
Stability in the Sense of Lyapunov Integrator Backstepping Stabilization Linearization and Reduced Order Methods 42 (19) 2D Channel Flow 3D Channel Flow Spatial Invariance Yields Localized Control Lyapunov Stability Approach 2D Channel Flow Regularity of Solutions of the Controlled Channel Flow 3D Channel Flow 3D Pipe Flow Drag Reduction Below Laminar Flow Suppression of Vortex Shedding Simulations of the Controlled Navier-Stokes Equation The Ginzburg-Landau Equation Energy Analysis Stabilization by State Feedback Simulation Study Mixing Dynamical Systems Approach Chaotic Advection in the Blinking Vortex Flow
Particle Transport in the Mixing Region of the Oscillating Vortex Pair Flow Diagnostic Tools for Finite-Time Mixing Destabilization of 2D Channel Flow Numerical Simulations Optimal Mixing in 3D Pipe Flow 155 (19) Sensing and Actuation Measures of Mixing Energy Analysis Optimality Detectability of Mixing 164 (4) Numerical Simulations Particle Dispersion in Bluff Body Wakes Sensors and Actuators Controlling Small-Scale Features Micro-Electro-Mechanical-Systems (MEMS) 180 (3) General Properties of MEMS Micro Sensors Micro Actuators Concluding Remarks A Coefficients for the Ginzburg-Landau Equation 1 Bibliography Index
"The emergence of flow control as an attractive new field is owed to breakthroughs in MEMS (microelectromechanical systems) and related technologies. The instrumentation of fluid flows on extremely short length and short time scales requires the practical tool of control algorithms with provable performance guarantees. Dedicated to this problem, Flow Control by Feedback, brings together controller design and fluid mechanics expertise in an exposition of the latest research results."--Jacket