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《Theoretical and Computational Aerodynamics》
理论与计算空气动力学
作者:Tapan K. Sengupta
出版社:wiley
出版时间:2015年
《理论与计算空气动力学》Theoretical and Computational Aerodynamics
《理论与计算空气动力学》Theoretical and Computational Aerodynamics
《理论与计算空气动力学》Theoretical and Computational Aerodynamics《理论与计算空气动力学》Theoretica ...
Series Preface xv
Preface xvii
Acknowledgements xxi
1 Introduction to Aerodynamics and Atmosphere 1
1.1 Motivation and Scope of Aerodynamics 1
1.2 Conservation Principles 4
1.2.1 Conservation Laws and Reynolds Transport Theorem (RTT) 4
1.2.2 Application of RTT: Conservation of Linear Momentum 6
1.3 Origin of Aerodynamic Forces 6
1.3.1 Momentum Integral Theory: Real Fluid Flow 8
1.4 Flow in Accelerating Control Volumes: Application of RTT 9
1.5 Atmosphere and Its Role in Aerodynamics 11
1.5.1 Von K′arm′an Line 11
1.5.2 Structure of Atmosphere 11
1.5.3 Armstrong Line or Limit 12
1.5.4 International Standard Atmosphere (ISA) and Other Atmospheric Details 13
1.5.5 Property Variations in Troposphere and Stratosphere 15
1.6 Static Stability of Atmosphere 17
Bibliography 20
2 Basic Equations of Motion 21
2.1 Introduction 21
2.1.1 Compressibility of Fluid Flow 22
2.2 Conservation Principles 23
2.2.1 Flow Description Method: Eulerian and Lagrangian Approaches 23
2.2.2 The Continuity Equation: Mass Conservation 24
2.3 Conservation of Linear Momentum: Integral Form 25
2.4 Conservation of Linear Momentum: Differential Form 26
2.4.1 General Stress System in a Deformable Body 26
2.5 Strain Rate of Fluid Element in Flows 28
2.5.1 Kinematic Interpretation of Strain Tensor 292.6 Relation between Stress and Rate of Strain Tensors in Fluid Flow 32
2.7 Circulation and Rotationality in Flows 35
2.8 Irrotational Flows and Velocity Potential 36
2.9 Stream Function and Vector Potential 37
2.10 Governing Equation for Irrotational Flows 38
2.11 Kelvin’s Theorem and Irrotationality 40
2.12 Bernoulli’s Equation: Relation of Pressure and Velocity 41
2.13 Applications of Bernoulli’s Equation: Air Speed Indicator 42
2.13.1 Aircraft Speed Measurement 43
2.13.2 The Pressure Coefficient 44
2.13.3 Compressibility Correction for Air Speed Indicator 44
2.14 Viscous Effects and Boundary Layers 46
2.15 Thermodynamics and Reynolds Transport Theorem 47
2.16 Reynolds Transport Theorem 48
2.17 The Energy Equation 49
2.17.1 The Steady Flow Energy Equation 51
2.18 Energy Conservation Equation 52
2.19 Alternate Forms of Energy Equation 54
2.20 The Energy Equation in Conservation Form 55
2.21 Strong Conservation and Weak Conservation Forms 55
2.22 Second Law of Thermodynamics and Entropy 56
2.23 Propagation of Sound and Mach Number 60
2.24 One-Dimensional Steady Flow 61
2.25 Normal Shock Relation for Steady Flow 62
2.26 Rankine--Hugoniot Relation 64
2.27 Prandtl or Meyer Relation 65
2.28 Oblique ShockWaves 69
2.29 Weak Oblique Shock 71
2.30 Expansion of Supersonic Flows 74
Bibliography 76
3 Theoretical Aerodynamics of Potential Flows 77
3.1 Introduction 77
3.2 Preliminaries of Complex Analysis for 2D Irrotational Flows:
Cauchy--Riemann Relations 78
3.2.1 Cauchy’s Residue Theorem 81
3.2.2 Complex Potential and Complex Velocity 81
3.3 Elementary Singularities in Fluid Flows 81
3.3.1 Superposing Solutions of Irrotational Flows 83
3.4 Blasius’ Theorem: Forces and Moment for Potential Flows 90
3.4.1 Force Acting on a Vortex in a Uniform Flow 92
3.4.2 Flow Past a Translating and Rotating Cylinder: Lift Generation
Mechanism 94
3.4.3 Prandtl’s Limit on Maximum Circulation and its Violation 97
3.4.4 Pressure Distribution on Spinning and Translating Cylinder 98
3.5 Method of Images 99
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