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Principles of Turbulence Control [Kõva köide]

  • Formaat: Hardback, 400 pages, kõrgus x laius x paksus: 244x170x20 mm, kaal: 748 g
  • Ilmumisaeg: 20-May-2016
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 1118718011
  • ISBN-13: 9781118718018
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  • Formaat: Hardback, 400 pages, kõrgus x laius x paksus: 244x170x20 mm, kaal: 748 g
  • Ilmumisaeg: 20-May-2016
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 1118718011
  • ISBN-13: 9781118718018
Teised raamatud teemal:
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.

Arvustused

"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." (Zentralblatt MATH 2016)

About the Authors ix
Preface xi
Part I WALL TURBULENCE
1 Statistical Analysis and Spectral Method
3(54)
1.1 Statistical Analysis and Spectral Method
3(8)
1.1.1 Average Value
3(2)
1.1.2 Probability Density and Statistical Moments
5(4)
1.1.3 Correlation Function
9(2)
1.2 Statistical Analysis of Turbulence
11(5)
1.2.1 Reynolds Stress and Turbulent Kinetic Energy
11(2)
1.2.2 Variable-Interval Time Average Method
13(3)
1.3 Fourier Transform and Spectrum
16(6)
1.3.1 Harmonic Wave
16(2)
1.3.2 Fourier Transform
18(4)
1.3.3 Energy Spectrum
22(1)
1.4 Spectral Series Expansion of Function
22(4)
1.4.1 Orthogonal Basis
22(1)
1.4.2 Fourier Series
23(1)
1.4.3 Chebyshev Polynomials
24(2)
1.5 Fundamentals of Spectral Methods
26(12)
1.5.1 Fundamental Concepts
26(3)
1.5.2 Fourier--Galerkin Method
29(2)
1.5.3 Chebyshev--Tau Method
31(3)
1.5.4 Helmholtz Equation
34(4)
1.6 Spectral Method of Navier--Stokes Equations
38(16)
1.6.1 Time Integration Method
38(3)
1.6.2 Spectral Method based on Time Marching Algorithms (1)
41(9)
1.6.3 Spectral Method based on Time Marching Algorithms (2)
50(2)
1.6.4 Spectral Method based on Time-Split Method
52(2)
1.7 Closed Remarks
54(3)
References
55(2)
2 Wall Turbulence and Its Coherent Structure
57(58)
2.1 Boundary Layer Flow and Flow Stability
58(5)
2.1.1 Boundary Layer Flow
58(1)
2.1.2 Flow Stability
59(2)
2.1.3 Linear Stability Theory of Flow
61(2)
2.2 Transition of Boundary Layer Flow
63(14)
2.2.1 Basic Process
63(1)
2.2.2 Receptivity Stage
64(4)
2.2.3 Linear Instability and Transient Growth
68(3)
2.2.4 Nonlinear Instability and Turbulent Spot
71(4)
2.2.5 Bypass Transition
75(2)
2.3 Coherent Structure of Wall Turbulence
77(12)
2.3.1 Statistical Properties of Near-Wall Turbulence
78(4)
2.3.2 Structural Features and Identification of Streak
82(1)
2.3.3 Structural Features and Identification of Vortex
83(6)
2.4 Formation and Evolution of a Coherent Structure
89(13)
2.4.1 Formation and Instability of Streak
89(3)
2.4.2 Formation of a Vortex Structure
92
2.4.3 A Novel Coherent Motion: Soliton and Its Relevant Structures
91(11)
2.5 Bursting and Self-Sustaining of Wall Turbulence
102(5)
2.5.1 Bursting Event
103(2)
2.5.2 Self-Sustaining of a Coherent Structure
105(2)
2.6 Closed Remarks
107(8)
References
109(6)
Part II CONTROL OF WALL TURBULENCE
3 Control of Turbulence with Active Wall Motion
115(80)
3.1 Stokes Second Problem
118(3)
3.2 Experiments of Wall Turbulence with Spanwise Wall Oscillation
121(15)
3.2.1 Incompressible Flow with Spanwise Wall Oscillation
121(6)
3.2.2 Compressible Flow with Spanwise Wall Oscillation
127(9)
3.3 Numerical Simulation of Wall Turbulence with Spanwise Wall Oscillation
136(17)
3.3.1 Wall Turblence with Spanwise Wall Oscillation
136(3)
3.3.2 Control Mechanism of Spanwise Wall Oscillation
139(8)
3.3.3 Wall Turbulence with Spanwise Traveling Wave on Wavy Wall
147(3)
3.3.4 Wall Turbulence with Streamwise Traveling Wave on Wavy Wall
150(3)
3.4 Deformed Wall
153(5)
3.4.1 Shape Memory Alloy
155(1)
3.4.2 Piezoceramics
156(1)
3.4.3 Magnet
157(1)
3.4.4 Cam Mechanism
158(1)
3.5 Experiments of Wall Turbulence with Deformed Wall
158(6)
3.5.1 Incompressible Flow with Deformed Wall
158(2)
3.5.2 Compressible Flow with Deformed Wall
160(4)
3.6 Numerical Simulation of Wall Turbulence with Deformed Wall
164(28)
3.6.1 Wall Turbulence with Streamwise-Traveling Surface Deformation Wave
164(9)
3.6.2 Wall Turbulence with Sinusoidally Deformed Wall
173(4)
3.6.3 Wall Turbulence with Opposition Wall Deformation Control
177(11)
3.6.4 Control Mechanism of Deformed Wall
188(4)
3.7 Closed Remarks
192(3)
References
193(2)
4 Control of Turbulence by Lorentz Force
195(76)
4.1 Lorentz Force
197(3)
4.2 Experiments of Wall Turbulence with Spanwise Lorentz Force
200(14)
4.2.1 Control with Uniform Spanwise Oscillating Lorentz Force
200(6)
4.2.2 Control with Wavy Lorentz Force
206(8)
4.3 Numerical Simulation of Wall Turbulence with Spanwise Lorentz Force
214(46)
4.3.1 Spanwise Lorentz Force
214(2)
4.3.2 Generalized Stokes Layer Induced by Oscillating Lorentz Force
216(3)
4.3.3 Control with Spanwise Oscillating Lorentz Force
219(20)
4.3.4 Control with Wavy Lorentz Force
239(21)
4.4 Wall Turbulence with Wall-Normal Lorentz Force
260(5)
4.4.1 Three-Dimensional Lorentz Force Field
260(1)
4.4.2 Experiments on Wall Normal EM Actuator Tile
261(2)
4.4.3 Numerical Simulation of Wall Turbulence with Normal Lorentz Force
263(2)
4.5 Closed Remarks
265(6)
References
267(4)
Part III OPTIMAL FLOW CONTROL
5 Linear Optimal Flow Control
271
5.1 Optimal Control
273(7)
5.1.1 Introduction
273(4)
5.1.2 Optimal Control for Ordinary Differential Equations
277(3)
5.2 Optimal Control of Linear Quadratic Systems
280(10)
5.2.1 Linear Quadratic Optimal Control
280(7)
5.2.2 Discrete Linear Quadratic Systems
287(1)
5.2.3 Linear Quadratic Gaussian (LQG) Control in the Presence of Noise
288(2)
5.3 Linear Process in Near-Wall Turbulent Flow
290(4)
5.4 Linear Optimal Control of Two-Dimensional Flow
294(11)
5.4.1 Linearization of Navier--Stokes Equations
294(2)
5.4.2 Spectral Decomposition of Linearized Flow
296(3)
5.4.3 Standard State-Space Representations of Linearized Flow
299(3)
5.4.4 Linear Optimal Control of Channel Flow
302(3)
5.5 Linear Optimal Control of Three-Dimensional Flow
305(4)
5.6 Closed Remarks
309
References
310
Dr. Baochun Fan, Chair Professor of the State Key Laboratory of Transient Physics, Nanjing University of Science and Technology, China. Professor Fan obtained his Ph.D. degree from Nanjing University of Science and Technology, China, in 1982 and during his career has been a visiting professor at Michigan University, USA, University of Technology, Aachen, Germany, and University of Connecticut, USA. His areas of expertise include theoretical, numerical and experimental fluid mechanics, flow control, combustion and detonation, and protection from fire and explosion. From 200 to 2004, he was the Chair of Detonation Committee of Chinese Society of Mechanics. He is currently a Member of the Editorial Board of Journal of Ballistics (in Chinese). He has authored four books in Chinese, and published over 100 journal papers in the past 10 years.