Chapter 1 Introduction
of Fluid Mechanics/1
1.1Brief History of Fluid Mechanics/1
1.2Dimensions and Units/4
1.2.1Dimensions/4
1.2.2Units/8
1.3Definition of a Fluid/10
1.3.1Continuity Hypothesis/10
1.3.2Density/12
1.3.3Specific Weight/13
1.3.4Specific Gravity/14
1.4Fluid Properties/14
1.4.1Compressibility/14
1.4.2Surface Tension/17
1.4.3Viscosity/20
第1章 流体力学简介/1
1.1流体力学简史/1
1.2量纲和单位/4
1.2.1量纲/4
1.2.2单位/8
1.3流体的定义/10
1.3.1连续性假设/10
1.3.2密度/12
1.3.3重度/13
1.3.4比重/14
1.4流体性质/14
1.4.1可压缩性/14
1.4.2表面张力/17
1.4.3黏度/20
Chapter 2 Fluid Statics/27
2.1Pressure at a Point/27
2.2Basic Equation for Pressure Field/28
2.3Pressure Variation in a Fluid at Rest/31
2.3.1Incompressible Fluid/31
2.3.2Compressible Fluid/34
2.4Standard Atmosphere/35
2.5Buoyancy and Stability/37
2.5.1Archimedes’ Principle/37
2.5.2Stability/40
2.6Measurement of Pressure/42
2.7Manometry/44
2.7.1Piezometer Tube/45
2.7.2U-Tube Manometer/46
2.7.3InclinedTube Manometer/50
第2章 流体静力学/27
2.1某一点的压力/27
2.2压力场基本方程/28
2.3静止流体中的压力变化/31
2.3.1不可压缩流体/31
2.3.2可压缩流体/34
2.4标准大气/35
2.5浮力和稳定性/37
2.5.1阿基米德原理/37
2.5.2稳定性/40
2.6压力的测量/42
2.7压力测量法/44
2.7.1测压管/45
2.7.2U形管压力计/46
2.7.3倾斜管压力计/50
Chapter 3 Fluid Kinematics/54
3.1The Velocity Field/54
3.1.1Eulerian method and Lagrangian method/55
3.1.2One-,Two- and Three-Dimensional Flows/56
3.1.3Steady and Unsteady Flows/57
3.1.4Streamlines,Streaklines and Pathlines/58
3.2The Acceleration Field/60
3.2.1The Material Derivative/60
3.2.2Unsteady Effects/62
3.2.3Convective Effects/63
3.3Fluid Element Kinematics/65
3.3.1Linear Motion and Deformation/66
3.3.2Angular Motion and Deformation/67
3.4System and Control Volume/69
3.5Reynolds Transport Theorem/71
3.5.1Derivation of the Reynolds Transport Theorem/73
3.5.2Relationship Between Reynolds transport theorem and Material Derivative/78
第3章 流体运动学/54
3.1速度场/54
3.1.1欧拉法和拉格朗日法/55
3.1.2一维、二维和三维流动/56
3.1.3定常和非定常流动/57
3.1.4流线、纹线和迹线/58
3.2加速度场/60
3.2.1物质导数/60
3.2.2非定常作用/62
3.2.3对流作用/63
3.3流体微团运动/65
3.3.1线运动和变形/66
3.3.2角运动和变形/67
3.4系统和控制体/69
3.5雷诺输运定理/71
3.5.1雷诺输运定理的推导/73
3.5.2雷诺输运定理与物质导数的关系/78
Chapter 4 Finite Control Volume Analysis
of Fluid Flow/82
4.1The Continuity Equation/82
4.1.1Derivation of the Continuity Equation/82
4.1.2Application of the Continuity Equation/85
4.2The Momentum Equation/88
4.2.1Derivation of the Momentum Equation/88
4.2.2Application of the Momentum Equation/89
4.3Moment-of-Momentum Equation/91
4.3.1Derivation of the Moment-of-Momentum Equation/91
4.3.2Application of the Moment-of-Momentum Equation/93
4.4The Energy Equation/96
4.4.1Derivation of the Energy Equation/96
4.4.2Application of the Energy Equation/98
4.4.3The Bernoulli Equation/100
第4章 流体流动的有限控制体分析/82
4.1连续性方程/82
4.1.1连续性方程的推导/82
4.1.2连续性方程的应用/85
4.2动量方程/88
4.2.1动量方程的推导/88
4.2.2动量方程的应用/89
4.3动量矩方程/91
4.3.1动量矩方程的推导/91
4.3.2动量矩方程的应用/93
4.4能量方程/96
4.4.1能量方程的推导/96
4.4.2能量方程的应用/98
4.4.3伯努利方程/100
Chapter 5 Differential Analysis of Fluid
Flow/108
5.1Conservation of Mass/108
5.1.1Continuity Equation in Differential Form/109
5.1.2Continuity Equation in Cylindrical Coordinates/112
5.2Conservation of Momentum/112
5.2.1Forces Acting on the Differential Element/113
5.2.2Equations of Motion/116
5.3Viscous Flow/118
5.3.1Stress-Deformation Relationships/118
5.3.2The NaiverStokes Equations/119
5.4Solutions for Viscous Incompressible Flow/120
5.4.1Steady,Laminar Flow Between Fixed Parallel Plates/120
5.4.2Steady,Laminar Flow in Circular Tubes/123
第5章流体流动的微分分析/108
5.1质量守恒/108
5.1.1微分形式的连续性方程/109
5.1.2柱坐标系中的连续性方程/112
5.2动量守恒/112
5.2.1作用在微元上的力/113
5.2.2运动方程/116
5.3黏性流动/118
5.3.1应力-变形关系/118
5.3.2纳维-斯托克斯方程/119
5.4黏性不可压缩流动的求解/120
5.4.1固定平板间的定常层流流动/120
5.4.2圆管内的定常层流流动/123
Chapter 6 Similitude and Dimensional
Analysis/129
6.1Similitude/129
6.2Similarity Laws/131
6.3Dimensional Analysis/134
6.3.1Dimensional homogeneity principle/134
6.3.2The Rayleigh Method/135
6.3.3The Buckingham’s Π
Theorems/137
6.3.4Application of the Buckingham’s Π Theorems/139
6.4Similitude and Modeling/143
6.4.1Approximate Model of Fluid Mechanics Problem/143
6.4.2Modeling Example/148
第6章 相似理论和量纲分析/129
6.1相似理论/129
6.2相似准则/131
6.3量纲分析/134
6.3.1量纲和谐原理/134
6.3.2瑞利法/135
6.3.3白金汉姆Π定理/137
6.3.4Π定理的应用/139
6.4相似与模化/143
6.4.1流体力学问题的近似模型/143
6.4.2模化实例/148
Chapter 7 Pipe Flow/154
7.1General Characteristics of Pipe Flow/155
7.2Laminar Flow in Circular Pipe/158
7.3Turbulent Flow in Circular Pipe/162
7.4Pressure Head Losses in Circular Pipe/166
7.4.1Mechanism of Flow Resistance/166
7.4.2Classification of Pipe Flow Resistances/169
7.4.3Calculation of Major Head Loss/171
7.4.4Calculation of Minor Head Loss/180
7.5Calculation of Head Loss in Pipeline/190
7.5.1Equivalent Hydraulic Diameter/190
7.5.2Head Loss Calculation of Pipe System/191
第7章 管内流动/154
7.1管内流动的一般特性/155
7.2圆管中的层流/158
7.3圆管中的湍流/162
7.4圆管中的压头损失/166
7.4.1流动阻力产生的机理/166
7.4.2管内流动阻力的分类/169
7.4.3主要损失的计算/171
7.4.4次要损失的计算/180
7.5管路损失计算/190
7.5.1当量水力直径/190
7.5.2管道系统的损失计算/191
Chapter 8 Planar Potential Flow/202
8.1Potential Function and Stream Function/202
8.1.1Potential Function/202
8.1.2Stream Function/205
8.2Simple Potential Flow/208
8.2.1Uniform Linear Flow/208
8.2.2Flow in Rightangle Region/209
8.2.3Point Source and Point Sink/211
8.2.4Pure Circulation Flow/213
8.3Superposition Principle of Potential Flows/215
第8章 平面势流/202
8.1势函数与流函数/202
8.1.1势函数/202
8.1.2流函数/205
8.2简单势流/208
8.2.1均匀直线流动/208
8.2.2直角区域内的流动/209
8.2.3点源和点汇/211
8.2.4纯环流流动/213
8.3势流叠加原理/215
Chapter 9 Flow Around Body Immersed/225
9.1Overview of Boundary Layer/225
9.2Characteristics of boundary layer/228
9.2.1Formation of Boundary Layer/228
9.2.2The Laminar and Turbulent Boundary Layers/231
9.3Boundary Layer Equations/234
9.3.1The Governing Equations/234
9.3.2Boundary Layer Thickness/237
9.4Flow Around a Cylinder/240
9.4.1Ideal Fluid Flow Around a Cylinder/240
9.4.2Viscous Fluid Flow Around a Cylinder/243
9.5Flow Around a Sphere/250
9.5.1Ideal Fluid Flow Around a Sphere/250
9.5.2Viscous Fluid Flow Around a Sphere/253
第9章 绕物流动/225
9.1边界层概述/225
9.2边界层特性/228
9.2.1边界层的形成/228
9.2.2层流和湍流边界层/231
9.3边界层方程/234
9.3.1控制方程/234
9.3.2边界层厚度/237
9.4绕圆柱流动/240
9.4.1理想流体绕圆柱流动/240
9.4.2黏性流体绕圆柱流动/243
9.5绕球流动/250
9.5.1理想流体的绕球流动/250
9.5.2黏性流体的绕球流动/253
Reference/256
参考文献/256