{"product_id":"principles-of-turbulence-control-9781118718018","title":"Principles of Turbulence Control","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"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)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eAbout the Authors ix\u003c\/p\u003e \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I WALL TURBULENCE\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Statistical Analysis and Spectral Method 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Statistical Analysis and Spectral Method 3\u003c\/p\u003e \u003cp\u003e1.1.1 Average Value 3\u003c\/p\u003e \u003cp\u003e1.1.2 Probability Density and Statistical Moments 5\u003c\/p\u003e \u003cp\u003e1.1.3 Correlation Function 9\u003c\/p\u003e \u003cp\u003e1.2 Statistical Analysis of Turbulence 11\u003c\/p\u003e \u003cp\u003e1.2.1 Reynolds Stress and Turbulent Kinetic Energy 11\u003c\/p\u003e \u003cp\u003e1.2.2 Variable-Interval Time Average Method 13\u003c\/p\u003e \u003cp\u003e1.3 Fourier Transform and Spectrum 16\u003c\/p\u003e \u003cp\u003e1.3.1 Harmonic Wave 16\u003c\/p\u003e \u003cp\u003e1.3.2 Fourier Transform 18\u003c\/p\u003e \u003cp\u003e1.3.3 Energy Spectrum 22\u003c\/p\u003e \u003cp\u003e1.4 Spectral Series Expansion of Function 22\u003c\/p\u003e \u003cp\u003e1.4.1 Orthogonal Basis 22\u003c\/p\u003e \u003cp\u003e1.4.2 Fourier Series 23\u003c\/p\u003e \u003cp\u003e1.4.3 Chebyshev Polynomials 24\u003c\/p\u003e \u003cp\u003e1.5 Fundamentals of Spectral Methods 26\u003c\/p\u003e \u003cp\u003e1.5.1 Fundamental Concepts 26\u003c\/p\u003e \u003cp\u003e1.5.2 Fourier–Galerkin Method 29\u003c\/p\u003e \u003cp\u003e1.5.3 Chebyshev–Tau Method 31\u003c\/p\u003e \u003cp\u003e1.5.4 Helmholtz Equation 34\u003c\/p\u003e \u003cp\u003e1.6 Spectral Method of Navier–Stokes Equations 38\u003c\/p\u003e \u003cp\u003e1.6.1 Time Integration Method 38\u003c\/p\u003e \u003cp\u003e1.6.2 Spectral Method based on Time Marching Algorithms (1) 41\u003c\/p\u003e \u003cp\u003e1.6.3 Spectral Method based on Time Marching Algorithms (2) 50\u003c\/p\u003e \u003cp\u003e1.6.4 Spectral Method based on Time-Split Method 52\u003c\/p\u003e \u003cp\u003e1.7 Closed Remarks 54\u003c\/p\u003e \u003cp\u003eReferences 55\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Wall Turbulence and Its Coherent Structure 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Boundary Layer Flow and Flow Stability 58\u003c\/p\u003e \u003cp\u003e2.1.1 Boundary Layer Flow 58\u003c\/p\u003e \u003cp\u003e2.1.2 Flow Stability 59\u003c\/p\u003e \u003cp\u003e2.1.3 Linear Stability Theory of Flow 61\u003c\/p\u003e \u003cp\u003e2.2 Transition of Boundary Layer Flow 63\u003c\/p\u003e \u003cp\u003e2.2.1 Basic Process 63\u003c\/p\u003e \u003cp\u003e2.2.2 Receptivity Stage 64\u003c\/p\u003e \u003cp\u003e2.2.3 Linear Instability and Transient Growth 68\u003c\/p\u003e \u003cp\u003e2.2.4 Nonlinear Instability and Turbulent Spot 71\u003c\/p\u003e \u003cp\u003e2.2.5 Bypass Transition 75\u003c\/p\u003e \u003cp\u003e2.3 Coherent Structure of Wall Turbulence 77\u003c\/p\u003e \u003cp\u003e2.3.1 Statistical Properties of Near-Wall Turbulence 78\u003c\/p\u003e \u003cp\u003e2.3.2 Structural Features and Identification of Streak 82\u003c\/p\u003e \u003cp\u003e2.3.3 Structural Features and Identification of Vortex 83\u003c\/p\u003e \u003cp\u003e2.4 Formation and Evolution of a Coherent Structure 89\u003c\/p\u003e \u003cp\u003e2.4.1 Formation and Instability of Streak 89\u003c\/p\u003e \u003cp\u003e2.4.2 Formation of a Vortex Structure 92\u003c\/p\u003e \u003cp\u003e2.4.3 A Novel Coherent Motion: Soliton and Its Relevant Structures 97\u003c\/p\u003e \u003cp\u003e2.5 Bursting and Self-Sustaining of Wall Turbulence 102\u003c\/p\u003e \u003cp\u003e2.5.1 Bursting Event 103\u003c\/p\u003e \u003cp\u003e2.5.2 Self-Sustaining of a Coherent Structure 105\u003c\/p\u003e \u003cp\u003e2.6 Closed Remarks 107\u003c\/p\u003e \u003cp\u003eReferences 109\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II CONTROL OF WALL TURBULENCE\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Control of Turbulence with Active Wall Motion 115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Stokes Second Problem 118\u003c\/p\u003e \u003cp\u003e3.2 Experiments of Wall Turbulence with Spanwise Wall Oscillation 121\u003c\/p\u003e \u003cp\u003e3.2.1 Incompressible Flow with Spanwise Wall Oscillation 121\u003c\/p\u003e \u003cp\u003e3.2.2 Compressible Flow with Spanwise Wall Oscillation 127\u003c\/p\u003e \u003cp\u003e3.3 Numerical Simulation of Wall Turbulence with Spanwise Wall Oscillation 136\u003c\/p\u003e \u003cp\u003e3.3.1 Wall Turblence with Spanwise Wall Oscillation 136\u003c\/p\u003e \u003cp\u003e3.3.2 Control Mechanism of Spanwise Wall Oscillation 139\u003c\/p\u003e \u003cp\u003e3.3.3 Wall Turbulence with Spanwise Traveling Wave on Wavy Wall 147\u003c\/p\u003e \u003cp\u003e3.3.4 Wall Turbulence with Streamwise Traveling Wave on Wavy Wall 150\u003c\/p\u003e \u003cp\u003e3.4 Deformed Wall 153\u003c\/p\u003e \u003cp\u003e3.4.1 Shape Memory Alloy 155\u003c\/p\u003e \u003cp\u003e3.4.2 Piezoceramics 156\u003c\/p\u003e \u003cp\u003e3.4.3 Magnet 157\u003c\/p\u003e \u003cp\u003e3.4.4 Cam Mechanism 158\u003c\/p\u003e \u003cp\u003e3.5 Experiments of Wall Turbulence with Deformed Wall 158\u003c\/p\u003e \u003cp\u003e3.5.1 Incompressible Flow with Deformed Wall 158\u003c\/p\u003e \u003cp\u003e3.5.2 Compressible Flow with Deformed Wall 160\u003c\/p\u003e \u003cp\u003e3.6 Numerical Simulation of Wall Turbulence with Deformed Wall 164\u003c\/p\u003e \u003cp\u003e3.6.1 Wall Turbulence with Streamwise-Traveling Surface Deformation Wave 164\u003c\/p\u003e \u003cp\u003e3.6.2 Wall Turbulence with Sinusoidally Deformed Wall 173\u003c\/p\u003e \u003cp\u003e3.6.3 Wall Turbulence with Opposition Wall Deformation Control 177\u003c\/p\u003e \u003cp\u003e3.6.4 Control Mechanism of Deformed Wall 188\u003c\/p\u003e \u003cp\u003e3.7 Closed Remarks 192\u003c\/p\u003e \u003cp\u003eReferences 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Control of Turbulence by Lorentz Force 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Lorentz Force 197\u003c\/p\u003e \u003cp\u003e4.2 Experiments of Wall Turbulence with Spanwise Lorentz Force 200\u003c\/p\u003e \u003cp\u003e4.2.1 Control with Uniform Spanwise Oscillating Lorentz Force 200\u003c\/p\u003e \u003cp\u003e4.2.2 Control with Wavy Lorentz Force 206\u003c\/p\u003e \u003cp\u003e4.3 Numerical Simulation of Wall Turbulence with Spanwise Lorentz Force 214\u003c\/p\u003e \u003cp\u003e4.3.1 Spanwise Lorentz Force 214\u003c\/p\u003e \u003cp\u003e4.3.2 Generalized Stokes Layer Induced by Oscillating Lorentz Force 216\u003c\/p\u003e \u003cp\u003e4.3.3 Control with Spanwise Oscillating Lorentz Force 219\u003c\/p\u003e \u003cp\u003e4.3.4 Control with Wavy Lorentz Force 239\u003c\/p\u003e \u003cp\u003e4.4 Wall Turbulence with Wall-Normal Lorentz Force 260\u003c\/p\u003e \u003cp\u003e4.4.1 Three-Dimensional Lorentz Force Field 260\u003c\/p\u003e \u003cp\u003e4.4.2 Experiments on Wall Normal EM Actuator Tile 261\u003c\/p\u003e \u003cp\u003e4.4.3 Numerical Simulation of Wall Turbulence with Normal Lorentz Force 263\u003c\/p\u003e \u003cp\u003e4.5 Closed Remarks 265\u003c\/p\u003e \u003cp\u003eReferences 267\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III OPTIMAL FLOW CONTROL\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Linear Optimal Flow Control 271\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Optimal Control 273\u003c\/p\u003e \u003cp\u003e5.1.1 Introduction 273\u003c\/p\u003e \u003cp\u003e5.1.2 Optimal Control for Ordinary Differential Equations 277\u003c\/p\u003e \u003cp\u003e5.2 Optimal Control of Linear Quadratic Systems 280\u003c\/p\u003e \u003cp\u003e5.2.1 Linear Quadratic Optimal Control 280\u003c\/p\u003e \u003cp\u003e5.2.2 Discrete Linear Quadratic Systems 287\u003c\/p\u003e \u003cp\u003e5.2.3 Linear Quadratic Gaussian (LQG) Control in the Presence of Noise 288\u003c\/p\u003e \u003cp\u003e5.3 Linear Process in Near-Wall Turbulent Flow 290\u003c\/p\u003e \u003cp\u003e5.4 Linear Optimal Control of Two-Dimensional Flow 294\u003c\/p\u003e \u003cp\u003e5.4.1 Linearization of Navier–Stokes Equations 294\u003c\/p\u003e \u003cp\u003e5.4.2 Spectral Decomposition of Linearized Flow 296\u003c\/p\u003e \u003cp\u003e5.4.3 Standard State-Space Representations of Linearized Flow 299\u003c\/p\u003e \u003cp\u003e5.4.4 Linear Optimal Control of Channel Flow 302\u003c\/p\u003e \u003cp\u003e5.5 Linear Optimal Control of Three-Dimensional Flow 305\u003c\/p\u003e \u003cp\u003e5.6 Closed Remarks 309\u003c\/p\u003e \u003cp\u003eReferences 310\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Nonlinear Optimal Flow Control 313\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Fundamentals of Optimal Flow Control 314\u003c\/p\u003e \u003cp\u003e6.1.1 Closed-Loop Flow Control 314\u003c\/p\u003e \u003cp\u003e6.1.2 Cost Functional 315\u003c\/p\u003e \u003cp\u003e6.1.3 Fréchet Differential 316\u003c\/p\u003e \u003cp\u003e6.2 Spectrum-based Suboptimal Control 316\u003c\/p\u003e \u003cp\u003e6.2.1 Control of Channel Flow 316\u003c\/p\u003e \u003cp\u003e6.2.2 Control of Backward-Facing Step Flow 323\u003c\/p\u003e \u003cp\u003e6.2.3 Control of Cylinder Flow 329\u003c\/p\u003e \u003cp\u003e6.3 Adjoint-based Suboptimal Control 341\u003c\/p\u003e \u003cp\u003e6.3.1 Fundamentals of Adjoint-based Suboptimal Control 341\u003c\/p\u003e \u003cp\u003e6.3.2 Adjoint-based Suboptimal Control 344\u003c\/p\u003e \u003cp\u003e6.3.3 Near-Wall Turbulence Controlled by Blowing–Suction Wall 347\u003c\/p\u003e \u003cp\u003e6.3.4 Cylinder Flow Controlled by Lorentz Force 348\u003c\/p\u003e \u003cp\u003e6.4 Neural Network in Flow Control 360\u003c\/p\u003e \u003cp\u003e6.4.1 Neural Network 360\u003c\/p\u003e \u003cp\u003e6.4.2 Near-Wall Turbulence Controlled by Blowing–Suction Wall 361\u003c\/p\u003e \u003cp\u003e6.4.3 Near-Wall Turbulence Controlled by Deformed Wall 367\u003c\/p\u003e \u003cp\u003e6.4.4 Near-Wall Turbulence Controlled by Lorentz Force 370\u003c\/p\u003e \u003cp\u003e6.5 Closed Remarks 372\u003c\/p\u003e \u003cp\u003eReferences 373\u003c\/p\u003e \u003cp\u003eIndex 375\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406910464343,"sku":"9781118718018","price":114.26,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118718018.jpg?v=1730497530","url":"https:\/\/bookcurl.com\/products\/principles-of-turbulence-control-9781118718018","provider":"Book Curl","version":"1.0","type":"link"}