<!--[if gte mso 9]><xml> </xml><![endif]--> <p style="margin:0px;">Preface xv</p> <p style="margin:0px;"> </p> <p style="margin:0px;"></p> <p style="margin:0px;">Part I: Macroscopic Fluid Mechanics 1</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 1: Introduction to Fluid Mechanics 3</p> <p style="margin:0px;"></p> <p style="margin:0px;">1.1 Fluid Mechanics in Chemical Engineering 3</p> <p style="margin:0px;">1.2 General Concepts of a Fluid 3</p> <p style="margin:0px;">1.3 Stresses, Pressure, Velocity, and the Basic Laws 5</p> <p style="margin:0px;">1.4 Physical Properties—Density, Viscosity, and Surface Tension 10</p> <p style="margin:0px;">1.5 Units and Systems of Units 21</p> <p style="margin:0px;">1.6 Hydrostatics 26</p> <p style="margin:0px;">1.7 Pressure Change Caused by Rotation 39</p> <p style="margin:0px;">Problems for Chapter 1 42</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 2: Mass, Energy, and Momentum Balances 55</p> <p style="margin:0px;">2.1 General Conservation Laws 55</p> <p style="margin:0px;">2.2 Mass Balances 57</p> <p style="margin:0px;">2.3 Energy Balances 61</p> <p style="margin:0px;">2.4 Bernoulli’s Equation 67</p> <p style="margin:0px;">2.5 Applications of Bernoulli’s Equation 70</p> <p style="margin:0px;">2.6 Momentum Balances 78</p> <p style="margin:0px;">2.7 Pressure, Velocity, and Flow Rate Measurement 92</p> <p style="margin:0px;">Problems for Chapter 2 96</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 3: Fluid Friction in Pipes 120</p> <p style="margin:0px;">3.1 Introduction 120</p> <p style="margin:0px;">3.2 Laminar Flow 123</p> <p style="margin:0px;">3.3 Models for Shear Stress 129</p> <p style="margin:0px;">3.4 Piping and Pumping Problems 133</p> <p style="margin:0px;">3.5 Flow in Noncircular Ducts 150</p> <p style="margin:0px;">3.6 Compressible Gas Flow in Pipelines 156</p> <p style="margin:0px;">3.7 Compressible Flow in Nozzles 159</p> <p style="margin:0px;">3.8 Complex Piping Systems 163</p> <p style="margin:0px;">Problems for Chapter 3 168</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 4: Flow in Chemical Engineering Equipment 185</p> <p style="margin:0px;">4.1 Introduction 185</p> <p style="margin:0px;">4.2 Pumps and Compressors 188</p> <p style="margin:0px;">4.3 Drag Force on Solid Particles in Fluids 194</p> <p style="margin:0px;">4.4 Flow Through Packed Beds 204</p> <p style="margin:0px;">4.5 Filtration 210</p> <p style="margin:0px;">4.6 Fluidization 215</p> <p style="margin:0px;">4.7 Dynamics of a Bubble-Cap Distillation Column 216</p> <p style="margin:0px;">4.8 Cyclone Separators 219</p> <p style="margin:0px;">4.9 Sedimentation 222</p> <p style="margin:0px;">4.10 Dimensional Analysis 224</p> <p style="margin:0px;">Problems for Chapter 4 230</p> <p style="margin:0px;"> </p> <p style="margin:0px;"></p> <p style="margin:0px;">Part II: Microscopic Fluid Mechanics 247</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 5: Differential Equations of Fluid Mechanics 249</p> <p style="margin:0px;"></p> <p style="margin:0px;">5.1 Introduction to Vector Analysis 249</p> <p style="margin:0px;">5.2 Vector Operations 250</p> <p style="margin:0px;">5.3 Other Coordinate Systems 263</p> <p style="margin:0px;">5.4 The Convective Derivative 266</p> <p style="margin:0px;">5.5 Differential Mass Balance 267</p> <p style="margin:0px;">5.6 Differential Momentum Balances 271</p> <p style="margin:0px;">5.7 Newtonian Stress Components in Cartesian Coordinates 274</p> <p style="margin:0px;">Problems for Chapter 5 285</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 6: Solution Of Viscous-Flow Problems 292</p> <p style="margin:0px;">6.1 Introduction 292</p> <p style="margin:0px;">6.2 Solution of the Equations of Motion in Rectangular Coordinates 294</p> <p style="margin:0px;">6.3 Alternative Solution Using a Shell Balance 301</p> <p style="margin:0px;">6.4 Poiseuille and Couette Flows in Polymer Processing 313</p> <p style="margin:0px;">6.5 Solution of the Equations of Motion in Cylindrical Coordinates 325</p> <p style="margin:0px;">6.6 Solution of the Equations of Motion in Spherical Coordinates 330</p> <p style="margin:0px;">Problems for Chapter 6 336</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 7: Laplace’s Equation, Irrotational and Porous-Media Flows 357</p> <p style="margin:0px;">7.1 Introduction 357</p> <p style="margin:0px;">7.2 Rotational and Irrotational Flows 359</p> <p style="margin:0px;">7.3 Steady Two-Dimensional Irrotational Flow 364</p> <p style="margin:0px;">7.4 Physical Interpretation of the Stream Function 367</p> <p style="margin:0px;">7.5 Examples of Planar Irrotational Flow 369</p> <p style="margin:0px;">7.6 Axially Symmetric Irrotational Flow 382</p> <p style="margin:0px;">7.7 Uniform Streams and Point Sources 384</p> <p style="margin:0px;">7.8 Doublets and Flow Past a Sphere 388</p> <p style="margin:0px;">7.9 Single-Phase Flow in a Porous Medium 391</p> <p style="margin:0px;">7.10 Two-Phase Flow in Porous Media 394</p> <p style="margin:0px;">7.11 Wave Motion in Deep Water 400</p> <p style="margin:0px;">Problems for Chapter 7 404</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 8: Boundary-Layer and Other Nearly Unidirectional Flows 418</p> <p style="margin:0px;">8.1 Introduction 418</p> <p style="margin:0px;">8.2 Simplified Treatment of Laminar Flow Past a Flat Plate 419</p> <p style="margin:0px;">8.3 Simplification of the Equations of Motion 426</p> <p style="margin:0px;">8.4 Blasius Solution for Boundary-Layer Flow 429</p> <p style="margin:0px;">8.5 Turbulent Boundary Layers 432</p> <p style="margin:0px;">8.6 Dimensional Analysis of the Boundary-Layer Problem 434</p> <p style="margin:0px;">8.7 Boundary-Layer Separation 437</p> <p style="margin:0px;">8.8 The Lubrication Approximation 448</p> <p style="margin:0px;">8.9 Polymer Processing by Calendering 457</p> <p style="margin:0px;">8.10 Thin Films and Surface Tension 463</p> <p style="margin:0px;">Problems for Chapter 8 466</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 9: Turbulent Flow 480</p> <p style="margin:0px;">9.1 Introduction 480</p> <p style="margin:0px;">9.2 Physical Interpretation of the Reynolds Stresses 487</p> <p style="margin:0px;">9.3 Mixing-Length Theory 488</p> <p style="margin:0px;">9.4 Determination of Eddy Kinematic Viscosity and Mixing Length 491</p> <p style="margin:0px;">9.5 Velocity Profiles Based on Mixing-Length Theory 493</p> <p style="margin:0px;">9.6 The Universal Velocity Profile for Smooth Pipes 495</p> <p style="margin:0px;">9.7 Friction Factor in Terms of Reynolds Number for Smooth Pipes 497</p> <p style="margin:0px;">9.8 Thickness of the Laminar Sublayer 499</p> <p style="margin:0px;">9.9 Velocity Profiles and Friction Factor for Rough Pipe 501</p> <p style="margin:0px;">9.10 Blasius-Type Law and the Power-Law Velocity Profile 502</p> <p style="margin:0px;">9.11 A Correlation for the Reynolds Stresses 503</p> <p style="margin:0px;">9.12 Computation of Turbulence by the k–ε Method 506</p> <p style="margin:0px;">9.13 Analogies Between Momentum and Heat Transfer 520</p> <p style="margin:0px;">9.14 Turbulent Jets 524</p> <p style="margin:0px;">Problems for Chapter 9 532</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 10: Bubble Motion, Two-Phase Flow, and Fluidization 542</p> <p style="margin:0px;">10.1 Introduction 542</p> <p style="margin:0px;">10.2 Rise of Bubbles in Unconfined Liquids 542</p> <p style="margin:0px;">10.3 Pressure Drop and Void Fraction in Horizontal Pipes 547</p> <p style="margin:0px;">10.4 Two-Phase Flow in Vertical Pipes 554</p> <p style="margin:0px;">10.5 Flooding 566</p> <p style="margin:0px;">10.6 Introduction to Fluidization 570</p> <p style="margin:0px;">10.7 Bubble Mechanics 572</p> <p style="margin:0px;">10.8 Bubbles in Aggregatively Fluidized Beds 577</p> <p style="margin:0px;">Problems for Chapter 10 586</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 11: Non-Newtonian Fluids 602</p> <p style="margin:0px;">11.1 Introduction 602</p> <p style="margin:0px;">11.2 Classification of Non-Newtonian Fluids 603</p> <p style="margin:0px;">11.3 Constitutive Equations for Inelastic Viscous Fluids 606</p> <p style="margin:0px;">11.4 Constitutive Equations for Viscoelastic Fluids 626</p> <p style="margin:0px;">11.5 Response to Oscillatory Shear 633</p> <p style="margin:0px;">11.6 Characterization of the Rheological Properties of Fluids 636</p> <p style="margin:0px;">Problems for Chapter 11 644</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 12: Microfluidics and Electrokinetic Flow Effects 653</p> <p style="margin:0px;">12.1 Introduction 653</p> <p style="margin:0px;">12.2 Physics of Microscale Fluid Mechanics 654</p> <p style="margin:0px;">12.3 Pressure-Driven Flow Through Microscale Tubes 655</p> <p style="margin:0px;">12.4 Mixing, Transport, and Dispersion 656</p> <p style="margin:0px;">12.5 Species, Energy, and Charge Transport 658</p> <p style="margin:0px;">12.6 The Electrical Double Layer and Electrokinetic Phenomena 661</p> <p style="margin:0px;">12.7 Measuring the Zeta Potential 676</p> <p style="margin:0px;">12.8 Electroviscosity 678</p> <p style="margin:0px;">12.9 Particle and Macromolecule Motion in Microfluidic Channels 678</p> <p style="margin:0px;">Problems for Chapter 12 683</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 13: An Introduction to Computational Fluid Dynamics and ANSYS Fluent 688</p> <p style="margin:0px;">13.1 Introduction and Motivation 688</p> <p style="margin:0px;">13.2 Numerical Methods 690</p> <p style="margin:0px;">13.3 Learning CFD by Using ANSYS Fluent 699</p> <p style="margin:0px;">13.4 Practical CFD Examples 703</p> <p style="margin:0px;">References for Chapter 13 719</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Chapter 14: COMSOL Multiphysics for Solving Fluid Mechanics Problems 720</p> <p style="margin:0px;">14.1 COMSOL Multiphysics—An Overview 720</p> <p style="margin:0px;">14.2 The Steps for Solving Problems in COMSOL 723</p> <p style="margin:0px;">14.3 How to Run COMSOL 725</p> <p style="margin:0px;">14.4 Variables, Constants, Expressions, and Units 741</p> <p style="margin:0px;">14.5 Boundary Conditions 742</p> <p style="margin:0px;">14.6 Variables Used by COMSOL 743</p> <p style="margin:0px;">14.7 Wall Functions in Turbulent-Flow Problems 744</p> <p style="margin:0px;">14.8 Streamline Plotting in COMSOL 747</p> <p style="margin:0px;">14.9 Special COMSOL Features Used in the Examples 749</p> <p style="margin:0px;">14.10 Drawing Tools 754</p> <p style="margin:0px;">14.11 Fluid Mechanics Problems Solvable by COMSOL 756</p> <p style="margin:0px;">14.12 Conclusion—Problems and Learning Tools 761</p> <p style="margin:0px;"> </p> <p style="margin:0px;"></p> <p style="margin:0px;">Appendix A: Useful Mathematical Relationships 762</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Appendix B: Answers to the True/False Assertions 768</p> <p style="margin:0px;"> </p> <p style="margin:0px;">Appendix C: Some Vector and Tensor Operations 771</p> <p style="margin:0px;"></p> <p style="margin:0px;"> </p> <p style="margin:0px;"></p> <p style="margin:0px;">General Index 773</p> <p style="margin:0px;">Comsol Multiphysics Index 782</p> <p style="margin:0px;">The Authors 784</p> <p style="margin:0px;"></p> <!--[if gte mso 9]><xml> Normal 0 false false false EN-US X-NONE X-NONE </xml><![endif]--> <!--[if gte mso 9]><xml> </xml><![endif]--> <!--[if gte mso 10]> <![endif]-->