Principles of Turbulence Control E-Book

Baochun Fan

• Herausgeber: John Wiley & Sons
• Kategorie: Fachliteratur
• Sprache: Englisch

Seitenzahl: 503

Veröffentlichungsjahr: 2016

Beschreibung

This book introduces the mathematical techniques for turbulence control in a form suitable for inclusion in an engineering degree program at both undergraduate and postgraduate levels whilst also making it useful to researchers and industrial users of the concepts. It uses a mix of theory, computation and experimental results to present and illustrate the methodologies. It is based on the three part structure, wall turbulence, open loop control and feedback control with emphasis on optimal control methodologies. The book also includes an introduction of basic principles and fundamentals followed by a chapter on the structure of wall turbulence with emphasis on coherent structures. Elsewhere there is focus on control methods of wall turbulence by manipulating the boundaries though their motion and by applying control forces throughout the flow volume. The last two chapters will describe the linear and non-linear optimal controls. This integrated approach will help not only researchers interested in the topic but also graduate or advanced undergraduate students in their course work.

Leseprobe

Table of Contents

Cover

Title Page

Copyright

About the Authors

Preface

Part One: Wall Turbulence

Chapter 1: Statistical Analysis and Spectral Method

1.1 Statistical Analysis and Spectral Method

1.2 Statistical Analysis of Turbulence

1.3 Fourier Transform and Spectrum

1.4 Spectral Series Expansion of Function

1.5 Fundamentals of Spectral Methods

1.6 Spectral Method of Navier–Stokes Equations

1.7 Closed Remarks

References

Chapter 2: Wall Turbulence and Its Coherent Structure

2.1 Boundary Layer Flow and Flow Stability

2.2 Transition of Boundary Layer Flow

2.3 Coherent Structure of Wall Turbulence

2.4 Formation and Evolution of a Coherent Structure

2.5 Bursting and Self-Sustaining of Wall Turbulence

2.6 Closed Remarks

References

Part Two: Control of Wall Turbulence

Chapter 3: Control of Turbulence with Active Wall Motion

3.1 Stokes Second Problem

3.2 Experiments of Wall Turbulence with Spanwise Wall Oscillation

3.3 Numerical Simulation of Wall Turbulence with Spanwise Wall Oscillation

3.4 Deformed Wall

3.5 Experiments of Wall Turbulence with Deformed Wall

3.6 Numerical Simulation of Wall Turbulence with Deformed Wall

3.7 Closed Remarks

References

Chapter 4: Control of Turbulence by Lorentz Force

4.1 Lorentz Force

4.2 Experiments of Wall Turbulence with Spanwise Lorentz Force

4.3 Numerical Simulation of Wall Turbulence with Spanwise Lorentz Force

4.4 Wall Turbulence with Wall-Normal Lorentz Force

4.5 Closed Remarks

References

Part Three: Optimal Flow Control

Chapter 5: Linear Optimal Flow Control

5.1 Optimal Control

5.2 Optimal Control of Linear Quadratic Systems

5.3 Linear Process in Near-Wall Turbulent Flow

5.4 Linear Optimal Control of Two-Dimensional Flow

5.5 Linear Optimal Control of Three-Dimensional Flow

5.6 Closed Remarks

References

Chapter 6: Nonlinear Optimal Flow Control

6.1 Fundamentals of Optimal Flow Control

6.2 Spectrum-based Suboptimal Control

6.3 Adjoint-based Suboptimal Control

6.4 Neural Network in Flow Control

6.5 Closed Remarks

References

Index

End User License Agreement

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Guide

Cover

Table of Contents

Preface

Part One: Wall Turbulence

Begin Reading

List of Illustrations

Chapter 1: Statistical Analysis and Spectral Method

Figure 1.1 Time average and ensemble average of random variables

Figure 1.2 Indication function

Figure 1.3 Cumulative distribution function

Figure 1.4 Normal distribution function

Figure 1.5 Correlated probability density

Figure 1.6 Characteristic scale of turbulence

Figure 1.7 Detection process of bursting events.

[4]

Source

: Blackwelder 1976. Reproduced with permission of Cambridge University Press

Figure 1.8 Instantaneous streamwise velocities (a) at different locations and detector function (b) obtained at .

[4]

Source

: Blackwelder 1976. Reproduced with permission of Cambridge University Press

Figure 1.9 Conditionally averaged streamwise velocities at different locations.

[4]

Source

: Blackwelder 1976. Reproduced with permission of Cambridge University Press

Figure 1.10 Conditionally averaged streamwise velocities at different locations as a function of streamwise coordinate.

[6]

Source

: Kim J 1983. Reproduced with permission of AIP Publishing LLC

Figure 1.11 Splitting by a physical process.

[14]

Source

: Boyd J P 2001. Reproduced with permission of Dover Publication

Figure 1.12 Schematic of channel flow

Chapter 2: Wall Turbulence and Its Coherent Structure

Figure 2.1 Sketch of boundary layer flow

Figure 2.2 (a) Poiseuille flow and (b) Blasius flow

Figure 2.3 (a) Convective instability and (b) absolute instability for fluid flow

Figure 2.4 The paths of a transition from receptivity to turbulence.

[2]

Source

: SaricWS 2002. Reproduced with permission of Annual Reviews

Figure 2.5 Regular transition of boundary layer flow.

[3]

Source

: Alfredsson P H 1996. Reproduced with permission of Springer

Figure 2.6 Receptive coefficient versus dimensionless frequency of the disturbance wave, the different symbols represent the different shapes of leading edge of the flat plate.

[5]

Source

: Alfredsson P H 1996. Reproduced with permission of Springer

Figure 2.7 Neutral curve of flow for a temporally developing mode

Figure 2.8 Transient growth of the resultant of two nonorthogonal vectors

Figure 2.9 Maximum transient energy growth for the Blasius boundary layer in wave number space,

[17]

Figure 2.10 Alignments of three-dimensional -shape vortices. (a) and (b) are the K-regime of the transition, (c) is the N-regime of the transition

Figure 2.11 The -shape vortices patterns of (a) K-regime and (b) N-regime of the transition.

[22]

The flow is from the lower left to the upper right.

Source

: Sayadi T 2012. Reproduced with permission of AIP Publishing LLC

Figure 2.12 Turbulent spot. (a) Experimental photo in the top view , (b) schematic in the top view.

[29]

Flow is from left to right

Figure 2.13 Propagating speed of trailing edge and leading edge of the turbulent spot, . Open symbols are the experimental data of Grek

et al

.,

[31]

solid symbols are the experimental data of Wygnanski

et al

.

[32]

Figure 2.14 Development and merging of two turbulent spots

[31]

Figure 2.15 Bypass transition subjected to free-stream turbulence. (a) Visualized measurement,

[36]

(b) direct numerical simulation, the upper, middle, and lower sheets are located in free-stream, at and , respectively, is the thickness of the boundary layer at inlet.

[37]

Source

: Matsurbara M 2007. Reproduced with permission of Cambridge University Press; Annual Reviews

Figure 2.16 Bypass transition subjected to passing wakes, flow is from lower left to upper right.

[42]

Source

: Wu X 1999. Reproduced with permission of Cambridge University Press

Figure 2.17 Top view of a coherent structure in the near-wall region. The black part represents the low-speed streak and the gray part represents streamwise vortices .