Flow control by feedback stabilization & mixing
Aamo, O.M & Krstic, M
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
1852336692 (HB)
Control theory
Fluid dynamic measurements
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
1852336692 (HB)
Control theory
Fluid dynamic measurements