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1 | (34) |
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1 | (2) |
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1.1 Some Characteristics of Fluids |
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3 | (1) |
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1.2 Dimensions, Dimensional Homogeneity, and Units |
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4 | (8) |
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7 | (5) |
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1.3 Analysis of Fluid Behavior |
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12 | (1) |
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1.4 Measures of Fluid Mass and Weight |
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12 | (2) |
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12 | (2) |
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14 | (1) |
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14 | (1) |
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14 | (3) |
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17 | (6) |
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1.7 Compressibility of Fluids |
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23 | (3) |
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23 | (1) |
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1.7.2 Compression and Expansion of Gases |
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24 | (1) |
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25 | (1) |
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26 | (1) |
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27 | (3) |
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1.10 A Brief Look Back in History |
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30 | (5) |
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Chapter Summary and Study Guide |
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32 | (2) |
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34 | (1) |
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35 | (41) |
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35 | (1) |
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35 | (1) |
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2.2 Basic Equation for Pressure Field |
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36 | (2) |
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2.3 Pressure Variation in a Fluid at Rest |
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38 | (5) |
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2.3.1 Incompressible Fluid |
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39 | (3) |
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42 | (1) |
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43 | (2) |
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2.5 Measurement of Pressure |
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45 | (2) |
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47 | (4) |
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47 | (1) |
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48 | (2) |
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2.6.3 Inclined-Tube Manometer |
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50 | (1) |
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2.7 Mechanical and Electronic Pressure-Measuring Devices |
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51 | (3) |
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2.8 Hydrostatic Force on a Plane Surface |
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54 | (6) |
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60 | (3) |
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2.10 Hydrostatic Force on a Curved Surface |
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63 | (2) |
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2.11 Buoyancy, Flotation, and Stability |
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65 | (5) |
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2.11.1 Archimedes' Principle |
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65 | (3) |
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68 | (2) |
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2.12 Pressure Variation in a Fluid with Rigid-Body Motion |
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70 | (6) |
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70 | (2) |
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2.12.2 Rigid-Body Rotation |
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72 | (2) |
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Chapter Summary and Study Guide |
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74 | (1) |
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75 | (1) |
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3 Elementary Fluid Dynamics--The Bernoulli Equation |
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76 | (39) |
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76 | (1) |
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76 | (3) |
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3.2 F = ma along a Streamline |
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79 | (4) |
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3.3 F = ma Normal to a Streamline |
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83 | (2) |
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3.4 Physical Interpretations and Alternate Forms of the Bernoulli Equation |
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85 | (3) |
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3.5 Static, Stagnation, Dynamic, and Total Pressure |
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88 | (5) |
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3.6 Examples of Use of the Bernoulli Equation |
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93 | (13) |
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93 | (3) |
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96 | (6) |
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3.6.3 Flowrate Measurement |
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102 | (4) |
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3.7 The Energy Line and the Hydraulic Grade Line |
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106 | (3) |
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3.8 Restrictions on Use of the Bernoulli Equation |
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109 | (6) |
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3.8.1 Compressibility Effects |
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109 | (1) |
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110 | (1) |
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111 | (1) |
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112 | (1) |
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Chapter Summary and Study Guide |
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113 | (1) |
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114 | (1) |
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115 | (32) |
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115 | (1) |
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115 | (9) |
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4.1.1 Eulerian and Lagrangian Flow Descriptions |
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118 | (1) |
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4.1.2 One-, Two-, and Three-Dimensional Flows |
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119 | (1) |
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4.1.3 Steady and Unsteady Flows |
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120 | (1) |
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4.1.4 Streamlines, Streaklines, and Pathlines |
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120 | (4) |
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4.2 The Acceleration Field |
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124 | (8) |
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4.2.1 Acceleration and the Material Derivative |
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124 | (3) |
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127 | (1) |
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127 | (3) |
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4.2.4 Streamline Coordinates |
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130 | (2) |
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4.3 Control Volume and System Representations |
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132 | (2) |
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4.4 The Reynolds Transport Theorem |
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134 | (13) |
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4.4.1 Derivation of the Reynolds Transport Theorem |
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136 | (5) |
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4.4.2 Physical Interpretation |
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141 | (1) |
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4.4.3 Relationship to Material Derivative |
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141 | (1) |
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142 | (1) |
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142 | (1) |
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4.4.6 Moving Control Volumes |
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143 | (2) |
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4.4.7 Selection of a Control Volume |
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145 | (1) |
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Chapter Summary and Study Guide |
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145 | (1) |
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146 | (1) |
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5 Finite Control Volume Analysis |
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147 | (58) |
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147 | (1) |
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5.1 Conservation of Mass--The Continuity Equation |
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148 | (12) |
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5.1.1 Derivation of the Continuity Equation |
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148 | (2) |
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5.1.2 Fixed, Nondeforming Control Volume |
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150 | (6) |
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5.1.3 Moving, Nondeforming Control Volume |
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156 | (2) |
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5.1.4 Deforming Control Volume |
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158 | (2) |
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5.2 Newton's Second Law--The Linear Momentum and Moment-of-Momentum Equations |
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160 | (22) |
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5.2.1 Derivation of the Linear Momentum Equation |
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160 | (1) |
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5.2.2 Application of the Linear Momentum Equation |
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161 | (13) |
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5.2.3 Derivation of the Moment-of-Momentum Equation |
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174 | (2) |
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5.2.4 Application of the Moment-of-Momentum Equation |
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176 | (6) |
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5.3 First Law of Thermodynamics-- The Energy Equation |
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182 | (18) |
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5.3.1 Derivation of the Energy Equation |
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182 | (3) |
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5.3.2 Application of the Energy Equation |
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185 | (4) |
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5.3.3 The Mechanical Energy Equation and the Bernoulli Equation |
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189 | (6) |
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5.3.4 Application of the Energy Equation to Nonuniform Flows |
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195 | (2) |
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5.3.5 Comparison of Various Forms of the Energy Equation |
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197 | (2) |
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5.3.6 Combination of the Energy Equation and the Moment-of-Momentum Equation |
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199 | (1) |
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5.4 Second Law of Thermodynamics-Irreversible Flow |
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200 | (5) |
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5.4.1 Semi-infinitesimal Control Volume Statement of the Energy Equation |
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200 | (1) |
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5.4.2 Semi-infinitesimal Control Volume Statement of the Second Law of Thermodynamics |
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201 | (1) |
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5.4.3 Combination of the Equations of the First and Second Laws of Thermodynamics |
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202 | (1) |
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Chapter Summary and Study Guide |
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203 | (1) |
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204 | (1) |
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6 Differential Analysis of Fluid Flow |
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205 | (58) |
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205 | (1) |
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6.1 Fluid Element Kinematics |
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206 | (5) |
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6.1.1 Velocity and Acceleration Fields Revisited |
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206 | (1) |
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6.1.2 Linear Motion and Deformation |
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207 | (1) |
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6.1.3 Angular Motion and Deformation |
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208 | (3) |
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211 | (6) |
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6.2.1 Differential Form of Continuity Equation |
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211 | (3) |
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6.2.2 Cylindrical Polar Coordinates |
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214 | (1) |
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6.2.3 The Stream Function |
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214 | (3) |
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6.3 The Linear Momentum Equation |
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217 | (4) |
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6.3.1 Description of Forces Acting on the Differential Element |
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218 | (2) |
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6.3.2 Equations of Motion |
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220 | (1) |
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221 | (7) |
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6.4.1 Euler's Equations of Motion |
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221 | (1) |
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6.4.2 The Bernoulli Equation |
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222 | (1) |
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223 | (2) |
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6.4.4 The Bernoulli Equation for Irrotational Flow |
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225 | (1) |
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6.4.5 The Velocity Potential |
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226 | (2) |
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6.5 Some Basic, Plane Potential Flows |
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228 | (9) |
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230 | (1) |
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230 | (2) |
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232 | (3) |
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235 | (2) |
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6.6 Superposition of Basic, Plane Potential Flows |
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237 | (11) |
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6.6.1 Source in a Uniform Stream-- Half-Body |
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237 | (3) |
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240 | (2) |
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6.6.3 Flow Around a Circular Cylinder |
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242 | (6) |
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6.7 Other Aspects of Potential Flow Analysis |
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248 | (1) |
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248 | (3) |
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6.8.1 Stress-Deformation Relationships |
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249 | (1) |
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6.8.2 The Navier-Stokes Equations |
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249 | (2) |
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6.9 Some Simple Solutions for Laminar, Viscous, Incompressible Flows |
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251 | (9) |
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6.9.1 Steady, Laminar Flow Between Fixed Parallel Plates |
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251 | (2) |
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253 | (2) |
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6.9.3 Steady, Laminar Flow in Circular Tubes |
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255 | (3) |
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6.9.4 Steady, Axial, Laminar Flow inanAnnulus |
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258 | (2) |
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6.10 Other Aspects of Differential Analysis |
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260 | (3) |
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260 | (1) |
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Chapter Summary and Study Guide |
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261 | (1) |
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262 | (1) |
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7 Dimensional Analysis, Similitude, and Modeling |
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263 | (44) |
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263 | (1) |
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7.1 The Need for Dimensional Analysis |
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264 | (2) |
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7.2 Buckingham Pi Theorem |
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266 | (1) |
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7.3 Determination of Pi Terms |
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267 | (6) |
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7.4 Some Additional Comments about Dimensional Analysis |
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273 | (3) |
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7.4.1 Selection of Variables |
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273 | (1) |
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7.4.2 Determination of Reference Dimensions |
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274 | (2) |
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7.4.3 Uniqueness of Pi Terms |
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276 | (1) |
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7.5 Determination of Pi Terms by Inspection |
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276 | (2) |
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7.6 Common Dimensionless Groups in Fluid Mechanics |
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278 | (5) |
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7.7 Correlation of Experimental Data |
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283 | (3) |
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7.7.1 Problems with One Pi Term |
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283 | (1) |
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7.7.2 Problems with Two or More Pi Terms |
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284 | (2) |
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7.8 Modeling and Similitude |
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286 | (7) |
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287 | (3) |
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290 | (1) |
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7.8.3 Practical Aspects of Using Models |
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291 | (2) |
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7.9 Some Typical Model Studies |
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293 | (9) |
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7.9.1 Flow Through Closed Conduits |
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293 | (2) |
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7.9.2 Flow Around Immersed Bodies |
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295 | (4) |
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7.9.3 Flow with a Free Surface |
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299 | (3) |
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7.10 Similitude Based on Governing Differential Equations |
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302 | (5) |
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Chapter Summary and Study Guide |
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305 | (1) |
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306 | (1) |
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307 | (66) |
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307 | (1) |
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8.1 General Characteristics of Pipe Flow |
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308 | (5) |
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8.1.1 Laminar or Turbulent Flow |
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309 | (2) |
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8.1.2 Entrance Region and Fully Developed Flow |
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311 | (1) |
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8.1.3 Pressure and Shear Stress |
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312 | (1) |
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8.2 Fully Developed Laminar Flow |
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313 | (9) |
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8.2.1 From F = ma Applied Directly to a Fluid Element |
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314 | (4) |
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8.2.2 From the Navier-Stokes Equations |
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318 | (1) |
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8.2.3 From Dimensional Analysis |
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319 | (1) |
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8.2.4 Energy Considerations |
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320 | (2) |
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8.3 Fully Developed Turbulent Flow |
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322 | (11) |
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8.3.1 Transition from Laminar to Turbulent Flow |
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322 | (2) |
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8.3.2 Turbulent Shear Stress |
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324 | (5) |
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8.3.3 Turbulent Velocity Profile |
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329 | (3) |
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8.3.4 Turbulence Modeling |
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332 | (1) |
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8.3.5 Chaos and Turbulence |
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333 | (1) |
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8.4 Pipe Flow Losses via Dimensional Analysis |
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333 | (18) |
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333 | (6) |
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339 | (9) |
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8.4.3 Noncircular Conduits |
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348 | (3) |
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351 | (13) |
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351 | (9) |
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8.5.2 Multiple Pipe Systems |
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360 | (4) |
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8.6 Pipe Flowrate Measurement |
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364 | (9) |
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8.6.1 Pipe Flowrate Meters |
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364 | (5) |
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369 | (1) |
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Chapter Summary and Study Guide |
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370 | (2) |
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372 | (1) |
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9 Flow over Immersed Bodies |
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373 | (64) |
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373 | (1) |
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9.1 General External Flow Characteristics |
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374 | (8) |
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9.1.1 Lift and Drag Concepts |
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375 | (3) |
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9.1.2 Characteristics of Flow Past an Object |
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378 | (4) |
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9.2 Boundary Layer Characteristics |
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382 | (23) |
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9.2.1 Boundary Layer Structure and Thickness on a Flat Plate |
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382 | (3) |
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9.2.2 Prandtl/Blasius Boundary Layer Solution |
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385 | (4) |
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9.2.3 Momentum Integral Boundary Layer Equation for a Flat Plate |
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389 | (5) |
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9.2.4 Transition from Laminar to Turbulent Flow |
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394 | (2) |
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9.2.5 Turbulent Boundary Layer Flow |
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396 | (3) |
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9.2.6 Effects of Pressure Gradient |
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399 | (5) |
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9.2.7 Momentum Integral Boundary Layer Equation with Nonzero Pressure Gradient |
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404 | (1) |
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405 | (17) |
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405 | (2) |
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407 | (2) |
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9.3.3 Drag Coefficient Data and Examples |
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409 | (13) |
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422 | (15) |
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9.4.1 Surface Pressure Distribution |
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424 | (5) |
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429 | (5) |
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Chapter Summary and Study Guide |
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434 | (1) |
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435 | (2) |
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437 | (36) |
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437 | (1) |
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10.1 General Characteristics of Open-Channel Flow |
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437 | (2) |
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439 | (5) |
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439 | (3) |
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10.2.2 Froude Number Effects |
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442 | (2) |
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10.3 Energy Considerations |
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444 | (4) |
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444 | (1) |
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445 | (3) |
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448 | (9) |
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10.4.1 Uniform Flow Approximations |
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448 | (1) |
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10.4.2 The Chezy and Manning Equations |
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449 | (2) |
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10.4.3 Uniform Flow Examples |
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451 | (6) |
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10.5 Gradually Varied Flow |
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457 | (1) |
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458 | (15) |
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10.6.1 The Hydraulic Jump |
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460 | (4) |
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10.6.2 Sharp-Crested Weirs |
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464 | (3) |
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10.6.3 Broad-Crested Weirs |
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467 | (3) |
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10.6.4 Underflow (Sluice) Gates |
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470 | (1) |
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Chapter Summary and Study Guide |
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471 | (1) |
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472 | (1) |
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473 | (72) |
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473 | (1) |
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11.1 Ideal Gas Thermodynamics |
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474 | (5) |
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11.2 Stagnation Properties |
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479 | (1) |
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11.3 Mach Number and Speed of Sound |
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480 | (5) |
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11.4 Compressible Flow Regimes |
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485 | (4) |
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489 | (6) |
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489 | (6) |
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495 | (5) |
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11.6.1 Steady Isentropic Flow of an Ideal Gas |
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495 | (3) |
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11.6.2 Incompressible Flow and the Bernoulli Equation |
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498 | (2) |
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11.6.3 The Critical State |
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500 | (1) |
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11.7 One-Dimensional Flow in a Variable Area Duct |
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500 | (16) |
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11.7.1 General Considerations |
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501 | (3) |
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11.7.2 Isentropic Flow of an Ideal Gas with Area Change |
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504 | (6) |
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11.7.3 Operation of a Converging Nozzle |
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510 | (2) |
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11.7.4 Operation of a Converging-Diverging Nozzle |
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512 | (4) |
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11.8 Constant-Area Duct Flow with Friction |
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516 | (12) |
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11.8.1 Preliminary Consideration: Comparison with Incompressible Duct Flow |
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516 | (1) |
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517 | (3) |
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11.8.3 Adiabatic Frictional Flow (Fanno Flow) of an Ideal Gas |
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520 | (8) |
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11.9 Frictionless Flow in a Constant-Area Duct with Heating or Cooling |
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528 | (7) |
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528 | (3) |
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11.9.2 Frictionless Flow of an Ideal Gas with Heating or Cooling (Rayleigh Flow) |
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531 | (3) |
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11.9.3 Rayleigh Lines, Fanno Lines, and Normal Shocks |
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534 | (1) |
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11.10 Analogy Between Compressible and Open-Channel Flows |
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535 | (1) |
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11.11 Two-Dimensional Supersonic Flow |
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536 | (2) |
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11.12 Effects of Compressibility in External Flow |
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538 | (7) |
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Chapter Summary and Study Guide |
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541 | (3) |
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544 | (1) |
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545 | (49) |
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545 | (1) |
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546 | (1) |
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12.2 Basic Energy Considerations |
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547 | (4) |
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12.3 Angular Momentum Considerations |
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551 | (2) |
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12.4 The Centrifugal Pump |
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553 | (13) |
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12.4.1 Theoretical Considerations |
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554 | (4) |
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12.4.2 Pump Performance Characteristics |
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558 | (2) |
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12.4.3 Net Positive Suction Head (NPSH) |
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560 | (2) |
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12.4.4 System Characteristics, Pump-System Matching, and Pump Selection |
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562 | (4) |
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12.5 Dimensionless Parameters and Similarity Laws |
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566 | (5) |
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12.5.1 Special Pump Scaling Laws |
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568 | (1) |
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569 | (1) |
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12.5.3 Suction Specific Speed |
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570 | (1) |
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12.6 Axial-Flow and Mixed-Flow Pumps |
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571 | (2) |
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573 | (1) |
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574 | (11) |
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575 | (7) |
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582 | (3) |
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12.9 Compressible Flow Turbomachines |
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585 | (9) |
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585 | (4) |
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12.9.2 Compressible Flow Turbines |
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589 | (2) |
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Chapter Summary and Study Guide |
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591 | (2) |
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593 | (1) |
Appendix A Computational Fluid Dynamics |
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594 | (19) |
Appendix B Physical Properties of Fluids |
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613 | (5) |
Appendix C Properties of the U.S. Standard Atmosphere |
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618 | (2) |
Appendix D Compressible Flow Functions for an Ideal Gas with k= 1.4 |
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620 | (8) |
Appendix E Comprehensive Table of Conversion Factors |
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628 | |
Questions and problems |
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1 | (1) |
Index |
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1 | |