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1 | (16) |
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1 | (1) |
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1-2 Definition of a Fluid |
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2 | (1) |
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1-3 Scope of Fluid Mechanics |
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3 | (1) |
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4 | (1) |
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5 | (4) |
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1-5.1 System and Control Volume |
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5 | (2) |
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1-5.2 Differential versus Integral Approach |
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7 | (1) |
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1-5.3 Methods of Description |
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7 | (2) |
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9 | (2) |
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1-6.1 Systems of Dimensions |
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9 | (1) |
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10 | (1) |
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1-6.3 Preferred Systems of Units |
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11 | (1) |
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11 | (1) |
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12 | (5) |
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CHAPTER 2 FUNDAMENTAL CONCEPTS |
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17 | (33) |
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17 | (1) |
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18 | (5) |
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2-2.1 One-, Two-, and Three-Dimensional Flows |
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19 | (2) |
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2-2.2 Timelines, Pathlines, Streaklines, and Streamlines |
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21 | (2) |
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23 | (3) |
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26 | (4) |
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27 | (2) |
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2-4.2 Non-Newtonian Fluids |
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29 | (1) |
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2-5 Description and Classification of Fluid Motions |
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30 | (8) |
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2-5.1 Viscous and Inviscid Flows |
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30 | (5) |
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2-5.2 Laminar and Turbulent Flows |
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35 | (1) |
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2-5.3 Compressible and Incompressible Flows |
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36 | (1) |
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2-5.4 Internal and External Flows |
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37 | (1) |
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38 | (1) |
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38 | (12) |
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50 | (46) |
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3-1 The Basic Equation of Fluid Statics |
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50 | (3) |
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3-2 Pressure Variation in a Static Fluid |
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53 | (6) |
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3-3 The Standard Atmosphere |
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59 | (2) |
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61 | (1) |
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3-5 Hydrostatic Force on Submerged Surfaces |
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61 | (11) |
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3-5.1 Hydrostatic Force on a Plane Submerged Surface |
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61 | (7) |
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3-5.2 Hydrostatic Force on a Curved Submerged Surface |
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68 | (4) |
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**3-6 Buoyancy and Stability |
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72 | (1) |
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**3-7 Fluids in Rigid-Body Motion |
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73 | (5) |
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78 | (1) |
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79 | (17) |
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CHAPTER 4 BASIC EQUATIONS IN INTEGRAL FORM FOR A CONTROL VOLUME |
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96 | (97) |
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4-1 Basic Laws for a System |
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96 | (2) |
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4-1.1 Conservation of Mass |
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96 | (1) |
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4-1.2 Newton's Second Law |
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97 | (1) |
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4-1.3 The Angular Momentum Principle |
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97 | (1) |
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4-1.4 The First Law of Thermodynamics |
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97 | (1) |
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4-1.5 The Second Law of Thermodynamics |
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98 | (1) |
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4-2 Relation of System Derivatives to the Control Volume Formulation |
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98 | (6) |
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99 | (4) |
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4-2.2 Physical Interpretation |
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103 | (1) |
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104 | (7) |
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105 | (6) |
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4-4 Momentum Equation for Inertial Control Volume |
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111 | (17) |
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**4-4.1 Differential Control Volume Analysis |
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121 | (4) |
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4-4.2 Control Volume Moving with Constant Velocity |
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125 | (3) |
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4-5 Momentum Equation for Control Volume with Rectilinear Acceleration |
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128 | (8) |
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**4-6 Momentum Equation for Control Volume with Arbitrary Acceleration |
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136 | (4) |
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**4-7 The Angular Momentum Principle |
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140 | (9) |
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4-7.1 Equation for Fixed Control Volume |
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141 | (4) |
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4-7.2 Equation for Rotating Control Volume |
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145 | (4) |
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4-8 The First Law of Thermodynamics |
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149 | (7) |
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4-8.1 Rate of Work Done by a Control Volume |
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150 | (2) |
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4-8.2 Control Volume Equation |
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152 | (4) |
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4-9 The Second Law of Thermodynamics |
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156 | (1) |
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157 | (1) |
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157 | (36) |
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CHAPTER 5 INTRODUCTION TO DIFFERENTIAL ANALYSIS OF FLUID MOTION |
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193 | (39) |
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193 | (8) |
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5-1.1 Rectangular Coordinate System |
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193 | (5) |
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5-1.2 Cylindrical Coordinate System |
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198 | (3) |
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**5-2 Stream Function for Two-Dimensional Incompressible Flow |
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201 | (4) |
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5-3 Motion of a Fluid Element (Kinematics) |
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205 | (13) |
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5-3.1 Acceleration of a Fluid Particle in a Velocity Field |
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206 | (5) |
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211 | (4) |
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215 | (3) |
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218 | (4) |
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5-4.1 Forces Acting on a Fluid Particle |
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219 | (1) |
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5-4.2 Differential Momentum Equation |
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220 | (1) |
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5-4.3 Newtonian Fluid: Navier-Stokes Equations |
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220 | (2) |
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222 | (1) |
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222 | (1) |
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222 | (10) |
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CHAPTER 6 INCOMPRESSIBLE INVISCID FLOW |
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232 | (54) |
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6-1 Momentum Equation for Frictionless Flow: Euler's Equations |
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232 | (1) |
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6-2 Euler's Equations in Streamline Coordinates |
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233 | (4) |
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6-3 Benoulli Equation-Integration of Euler's Equation Along a Streamline for Steady Flow |
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237 | (12) |
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6-3.1 Derivation Using Streamline Coordinates |
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237 | (1) |
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**6-3.2 Derivation Using Rectangular Coordinates |
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238 | (1) |
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6-3.3 Static, Stagnation, and Dynamic Pressures |
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239 | (4) |
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243 | (5) |
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6-3.5 Cautions on Use of the Bernoulli Equation |
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248 | (1) |
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6-4 Relation between the First Law of Thermodynamics and the Bernoulli Equation |
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249 | (6) |
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**6-5 Unsteady Bernoulli Equation-Integration of Euler's Equation Along a Streamline |
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255 | (2) |
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257 | (14) |
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6-6.1 Bernoulli Equation Applied to Irrotational Flow |
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258 | (1) |
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259 | (1) |
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6-6.3 Stream Function and Velocity Potential for Two-Dimensional, Irrotational, Incompressible Flow; Laplace's Equation |
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260 | (2) |
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6-6.4 Elementary Plane Flows |
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262 | (1) |
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6-6.5 Superposition of Elementary Plane Flows |
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263 | (8) |
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271 | (1) |
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271 | (1) |
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271 | (15) |
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CHAPTER 7 DIMENSIONAL ANALYSIS AND SIMILITUDE |
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286 | (35) |
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7-1 Nature of Dimensional Analysis |
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286 | (1) |
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7-2 Buckingham Pi Theorem |
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287 | (1) |
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7-3 Determining the Pi Groups |
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288 | (6) |
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7-4 Dimensionless Groups of Significance in Fluid Mechanics |
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294 | (2) |
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7-5 Flow Similarity and Model Studies |
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296 | (13) |
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7-5.1 Incomplete Similarity |
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298 | (6) |
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7-5.2 Scaling with Multiple Dependent Parameters |
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304 | (4) |
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7-5.3 Comments on Model Testing |
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308 | (1) |
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7-6 Nondimensionalizing the Basic Differential Equations |
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309 | (2) |
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311 | (1) |
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311 | (1) |
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312 | (9) |
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CHAPTER 8 INTERNAL INCOMPRESSIBLE VISCOUS FLOW |
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321 | (2) |
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321 | (2) |
PART A. FULLY DEVELOPED LAMINAR FLOW |
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323 | (16) |
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8-2 Fully Developed Laminar Flow between Infinite Parallel Plates |
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323 | (12) |
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8-2.1 Both Plates Stationary |
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323 | (5) |
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8-2.2 Upper Plate Moving with Constant Speed, U |
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328 | (7) |
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8-3 Fully Developed Laminar Flow in a Pipe |
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335 | (4) |
PART B. FLOW IN PIPES AND DUCTS |
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339 | (38) |
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8-4 Shear Stress Distribution in Fully Developed Pipe Flow |
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340 | (2) |
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8-5 Turbulent Velocity Profiles in Fully Developed Pipe Flow |
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342 | (2) |
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8-6 Energy Considerations in Pipe Flow |
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344 | (3) |
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8-6.1 Kinetic Energy Coefficient |
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346 | (1) |
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346 | (1) |
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8-7 Calculation of Head Loss |
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347 | (12) |
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8-7.1 Major Losses: Friction Factor |
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347 | (6) |
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353 | (5) |
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358 | (1) |
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8-8 Solution of Pipe Flow Problems |
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359 | (18) |
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8-8.1 Single-Path Systems |
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359 | (13) |
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**8-8.2 Multiple-Path Systems |
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372 | (5) |
PART C. FLOW MEASUREMENT |
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377 | (34) |
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377 | (1) |
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8-10 Restriction Flow Meters for Internal Flows |
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377 | (10) |
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380 | (2) |
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382 | (1) |
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383 | (1) |
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8-10.4 The Laminar Flow Element |
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384 | (3) |
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387 | (2) |
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389 | (1) |
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390 | (1) |
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390 | (2) |
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392 | (19) |
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CHAPTER 9 EXTERNAL INCOMPRESSIBLE VISCOUS FLOW |
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411 | (1) |
PART A. BOUNDARY LAYERS |
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412 | (25) |
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9-1 The Boundary-Layer Concept |
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412 | (1) |
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9-2 Boundary-Layer Thicknesses |
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413 | (3) |
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**9-3 Laminar Flat-Plate Boundary Layer: Exact Solution |
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416 | (5) |
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9-4 Momentum Integral Equation |
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421 | (5) |
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9-5 Use of the Momentum Integral Equation for Zero Pressure Gradient Flow |
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426 | (8) |
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427 | (4) |
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431 | (3) |
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9-6 Pressure Gradients in Boundary-Layer Flow |
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434 | (3) |
PART B. FLUID FLOW ABOUT IMMERSED BODIES |
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437 | (51) |
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438 | (14) |
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9-7.1 Flow over a Flat Plate Parallel to the Flow: Friction Drag |
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439 | (3) |
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9-7.2 Flow over a Flat Plate Normal to the Flow: Pressure Drag |
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442 | (1) |
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9-7.3 Flow over a Sphere and Cylinder: Friction and Pressure Drag |
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443 | (6) |
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449 | (3) |
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452 | (15) |
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467 | (1) |
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467 | (2) |
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469 | (19) |
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CHAPTER 10 FLOW IN OPEN CHANNELS |
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488 | (56) |
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10-1 Characteristics of Open Channels |
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488 | (3) |
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10-2 Propagation of Surface Waves |
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491 | (3) |
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491 | (3) |
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494 | (1) |
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10-3 Energy Equation for Open-Channel Flow |
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494 | (5) |
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496 | (3) |
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10-4 Frictionless Flow: Effect of Area Change |
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499 | (6) |
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499 | (3) |
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10-4.2 Flow through a Sluice Gate |
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502 | (3) |
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10-5 Flow at Normal Depth: Uniform Flow |
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505 | (12) |
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505 | (2) |
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10-5.2 The Manning Correlation for Velocity |
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507 | (5) |
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10-5.3 Optimum Channel Cross Section |
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512 | (2) |
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10-5.4 Critical Normal Flow |
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514 | (3) |
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10-6 Flow with Gradually Varying Depth |
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517 | (8) |
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10-6.1 Classification of Surface Profiles |
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518 | (3) |
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10-6.2 Calculation of Surface Profiles |
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521 | (4) |
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525 | (5) |
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525 | (2) |
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10-7.2 Depth Increase across a Hydraulic Jump |
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527 | (1) |
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10-7.3 Head Loss across a Hydraulic Jump |
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527 | (3) |
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10-8 Measurements in Open-Channel Flow |
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530 | (6) |
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10-8.1 Sharp-Crested Weirs |
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531 | (3) |
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10-8.2 Broad-Crested Weirs |
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534 | (1) |
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535 | (1) |
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535 | (1) |
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536 | (1) |
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537 | (1) |
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537 | (7) |
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CHAPTER 11 FLUID MACHINERY |
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544 | (89) |
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11-1 Introduction and Classification of Fluid Machines |
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544 | (3) |
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547 | (1) |
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11-3 Turbomachinery Analysis |
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548 | (9) |
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11-3.1 The Angular Momentum Principle |
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548 | (1) |
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11-3.2 Euler Turbomachine Equation |
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548 | (2) |
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11-3.3 Velocity Polygon Analysis |
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550 | (7) |
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11-4 Performance Characteristics |
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557 | (20) |
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11-4.1 Performance Parameters |
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557 | (10) |
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11-4.2 Dimensional Analysis and Specific Speed |
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567 | (5) |
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572 | (4) |
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11-4.4 Cavitation and Net Positive Suction Head |
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576 | (1) |
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11-5 Applications to Fluid Systems |
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577 | (38) |
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11-5.1 Work Absorbing Machines |
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577 | (30) |
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11-5.2 Work-Producing Machines |
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607 | (8) |
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615 | (1) |
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616 | (2) |
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618 | (15) |
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CHAPTER 12 INTRODUCTION TO COMPRESSIBLE FLOW |
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633 | (29) |
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12-1 Review of Thermodynamics |
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633 | (7) |
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12-2 Propagation of Sound Waves |
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640 | (6) |
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640 | (4) |
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12-2.2 Types of Flow-The Mach Cone |
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644 | (2) |
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12-3 Reference State: Local Isentropic Stagnation Properties |
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646 | (8) |
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12-3.1 Local Isentropic Stagnation Properties for the Flow of an Ideal Gas |
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647 | (7) |
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654 | (1) |
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655 | (1) |
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655 | (1) |
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655 | (7) |
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CHAPTER 13 STEADY ONE-DIMENSIONAL COMPRESSIBLE FLOW |
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662 | (95) |
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13-1 Basic Equations for Isentropic Flow |
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662 | (4) |
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13-2 Effect of Area Variation on Properties in Isentropic Flow |
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666 | (2) |
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13-3 Isentropic Flow of an Ideal Gas |
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668 | (17) |
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668 | (1) |
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13-3.2 Reference Conditions for Isentropic Flow of an Ideal Gas |
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669 | (3) |
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**13-3.3 Tables for Computation of Isentropic Flow of an Ideal Gas |
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672 | (1) |
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13-3.4 Isentropic Flow in a Converging Nozzle |
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673 | (6) |
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13-3.5 Isentropic Flow in a Converging-Diverging Nozzle |
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679 | (6) |
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13-4 Flow in a Constant-Area Duct with Friction |
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685 | (17) |
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13-4.1 Basic Equations for Adiabatic Flow |
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685 | (3) |
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13-4.2 Adiabatic Flow: The Fanno Line |
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688 | (4) |
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**13-4.3 Tables for Computation of Fanno Line Flow of an Ideal Gas |
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692 | (8) |
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700 | (2) |
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13-5 Frictionless Flow in a Constant-Area Duct with Heat Exchange |
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702 | (12) |
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702 | (3) |
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705 | (6) |
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**13-5.3 Tables for Computation of Rayleigh Line Flow of an Ideal Gas |
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711 | (3) |
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714 | (12) |
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715 | (7) |
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**13-6.2 Tables for Computation of Normal Shocks in an Ideal Gas |
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722 | (4) |
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13-7 Supersonic Channel Flow with Shocks |
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726 | (8) |
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13-7.1 Flow in a Coverging-Diverging Nozzle |
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727 | (1) |
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**13-7.2 Supersonic Diffuser |
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728 | (1) |
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**13-7.3 Supersonic Wind Tunnel Operation |
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729 | (2) |
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**13-7.4 Constant-Area Channel with Friction |
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731 | (1) |
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**13-7.5 Constant-Area Channel with Heat Addition |
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731 | (3) |
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734 | (1) |
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735 | (1) |
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735 | (22) |
Appendix A FLUID PROPERTY DATA |
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757 | (11) |
Appendix B EQUATIONS OF MOTION IN CYLINDRICAL COORDINATES |
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768 | (1) |
Appendix C VIDEOTAPES AND FILMS FOR FLUID MECHANICS |
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769 | (3) |
Appendix D SELECTED PERFORMANCE CURVES FOR PUMPS AND FANS |
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772 | (12) |
Appendix E TABLES FOR COMPUTATION OF COMPRESSIBLE FLOW |
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784 | (16) |
Appendix F ANALYSIS OF EXPERIMENTAL UNCERTAINTY |
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800 | (7) |
Appendix G SI UNITS, PREFIXES, AND CONVERSION FACTORS |
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807 | (2) |
Answers to Selected Problems |
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809 | (12) |
Index |
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821 | |