Fluid Mechanics for Chemical Engineers

Introduction 4.2 Pumps and Compressors Example 4.1 - Pumps in Series and Parallel 4.3 Drag Force on Solid Particles in Fluids Example 4.2 - Manufacture of Lead Shot 4.4 Flow Through Packed Beds Example 4.3 - Pressure Drop in a Packed-Bed Reactor 4.5 Filtration 4.6 Fluidization 4.7 Dynamics of a Bubble-Cap Distillation Column 4.8 Cyclone Separators 4.9 Sedimentation 4.10 Dimensional Analysis Example 4.4 - Thickness of the Laminar Sublayer Problems for Chapter 4 II. MICROSCOPIC FLUID MECHANICS. 5. Differential Equations of Fluid Mechanics. 5.1 Introduction to Vector Analysis 5.2 Vector Operations Example 5.1 - The Gradient of a Scalar Example 5.2 - The Divergence of a Vector Example 5.3 - An Alternative to the Differential Element Example 5.4 - The Curl of a Vector Example 5.5 - The Laplacian of a Scalar 5.3 Other Coordinate Systems 5.4 The Convective Derivative 5.5 Differential Mass Balance Example 5.6 - Physical Interpretation of the Net Rate of Mass Outflow Example 5.7 - Alternative Derivation of the Continuity Equation 5.6 Differential Momentum Balances 5.7 Newtonian Stress Components in Cartesian Coordinates Example 5.8 - Constant-Viscosity Momentum Balances in Terms of Velocity Gradients Example 5.9 - Vector Form of Variable-Viscosity Momentum Balance Problems for Chapter 5 6. Solution of Viscous-Flow Problems. 6.1 Introduction 6.2 Solution of the Equations of Motion in Rectangular Coordinates Example 6.1 - Flow Between Parallel Plates 6.3 Alternative Solution Using a Shell Balance Example 6.2 - Shell Balance for Flow Between Parallel Plates Example 6.3 - Film Flow on a Moving Substrate Example 6.4 - Transient Viscous Diffusion of Momentum (FEMLAB) 6.4 Poiseuille and Couette Flows in Polymer Processing Example 6.5 - The Single-Screw Extruder Example 6.6 - Flow Patterns in a Screw Extruder (FEMLAB) 6.5 Solution of the Equations of Motion in Cylindrical x Table of Contents Coordinates Example 6.7 - Flow Through an Annular Die Example 6.8 - Spinning a Polymeric Fiber 6.6 Solution of the Equations of Motion in Spherical Coordinates Example 6.9 - Analysis of a Cone-and-Plate Rheometer Problems for Chapter 6 7. Laplace's Equation, Irrotational and Porous-Media Flows. 7.1 Introduction 7.2 Rotational and Irrotational Flows Example 7.1 - Forced and Free Vortices 7.3 Steady Two-Dimensional Irrotational Flow 7.4 Physical Interpretation of the Stream Function 7.5 Examples of Planar Irrotational Flow Example 7.2 - Stagnation Flow Example 7.3 - Combination of a Uniform Stream and a Line Sink (C) Example 7.4 - Flow Patterns in a Lake (FEMLAB) 7.6 Axially Symmetric Irrotational Flow 7.7 Uniform Streams and Point Sources 7.8 Doublets and Flow Past a Sphere 7.9 Single-Phase Flow in a Porous Medium Example 7.5 - Underground Flow of Water 7.10 Two-Phase Flow in Porous Media 7.11 Wave Motion in Deep Water Problems for Chapter 7 8. Boundary-Layer Aand Other Nearly Unidirectional Flows. 8.1 Introduction 8.2 Simplified Treatment of Laminar Flow Past a Flat Plate Example 8.1 - Flow in an Air Intake 8.3 Simplification of the Equations of Motion 8.4 Blasius Solution for Boundary-Layer Flow 8.5 Turbulent Boundary Layers Example 8.2 - Laminar and Turbulent Boundary Layers Compared 8.6 Dimensional Analysis of the Boundary-Layer Problem 8.7 Boundary-Layer Separation Example 8.3 - Boundary-Layer Flow Between Parallel Plates (FEMLAB Library) Example 8.4 - Entrance Region for Laminar Flow Between Flat Plates 8.8 The Lubrication Approximation Example 8.5 - Flow in a Lubricated Bearing (FEMLAB) 8.9 Polymer Processing by Calendering Example 8.6 - Pressure Distribution in a Calendered Sheet 8.10 Thin Films and Surface Tension Problems for Chapter 8 9. Turbulent Flow. 9.1 Introduction Example 9.1 - Numerical Illustration of a Reynolds Stress Term 9.2 Physical Interpretation of the Reynolds Stresse 9.3 Mixing-Length Theory 9.4 Determination of Eddy Kinematic Viscosity and Mixing Length 9.5 Velocity Profiles Based on Mixing Length Theory 486 Example 9.2 - Investigation of the von K?Larm?Lan Hypothesis 9.6 The Universal Velocity Profile for Smooth Pipes 9.7 Friction Factor in Terms of Reynolds Number for Smooth Pipes Example 9.3 - Expression for the Mean Velocity 9.8 Thickness of the Laminar Sublayer 9.9 Velocity Profiles and Friction Factor for Rough Pipe 9.10 Blasius-Type Law and the Power-Law Velocity Profile 9.11 A Correlation for the Reynolds Stresses 9.12 Computation of Turbulence by the k/? Method Example 9.4 - Flow Through an Orifice Plate (FEMLAB) Example 9.5 - Turbulent Jet Flow (FEMLAB) 9.13 Analogies Between Momentum and Heat Transfer Example 9.6 - Evaluation of the Momentum/Heat-Transfer Analogies 9.14 Turbulent Jets Problems for Chapter 9 10. Bubble Motion, Two-Phase Flow, and Fluidization. 10.1 Introduction 10.2 Rise of Bubbles in Unconfined Liquids Example 10.1 - Rise Velocity of Single Bubbles 10.3 Pressure Drop and Void Fraction in Horizontal Pipes Example 10.2 - Two-Phase Flow in a Horizontal Pipe 10.4 Two-Phase Flow in Vertical Pipes Example 10.3 - Limits of Bubble Flow Example 10.4 - Performance of a Gas-Lift Pump Example 10.5 - Two-Phase Flow in a Vertical Pipe 10.5 Flooding 10.6 Introduction to Fluidization 10.7 Bubble Mechanics 10.8 Bubbles in Aggregatively Fluidized Beds Example 10.6 - Fluidized Bed with Reaction (C) Problems for Chapter 10 11. Non-Newtonian Fluids. 11.1 Introduction 11.2 Classification of Non-Newtonian Fluids 11.3 Constitutive Equations for Inelastic Viscous Fluids Example 11.1 - Pipe Flow of a Power-Law Fluid Example 11.2 - Pipe Flow of a Bingham Plastic Example 11.3 - Non-Newtonian Flow in a Die (FEMLAB Library) 11.4 Constitutive Equations for Viscoelastic Fluids 11.5 Response to Oscillatory Shear 11.6 Characterization of the Rheological Properties of Fluids Example 11.4 - Proof of the Rabinowitsch Equation Example 11.5 - Working Equation for a Coaxial Cylinder Rheometer: Newtonian Fluid Problems for Chapter 11 12. Microfluidics and Electrokinetic Flow Effects. 12.1 Introduction 12.2 Physics of Microscale Fluid Mechanics 12.3 Pressure-driven Flow Through Microscale Tubes Example 12.1 - Calculation of Reynolds Numbers 12.4 Mixing, Transport, and Dispersion 12.5 Species, Energy, and Charge Transport 12.6 The Electrical Double Layer and Electrokinetic Phenomena Example 12.2 - Relative Magnitudes of Electroosmotic and Pressure-driven Flow Example 12.3 - Electroosmotic Flow Around a Particle Example 12.4 - Electroosmosis in a Microchannel (FEMLAB) Example 12.5 - Electroosmotic Switching in a Branched Microchannel (FEMLAB) 12.7 Measuring the Zeta Potential Example 12.6 - Magnitude of Typical Streaming Potentials 12.8 Electroviscosity 12.9 Particle and Macromolecule Motion in Microfluidic Channels Example 12.7 - Gravitational and Magnetic Settling of Assay Beads Problems for Chapter 12 13. An Introduction to Computational Fluid Dynamics and Flowlab. 13.1 Introduction and Motivation 13.2 Numerical Methods 13.3 Learning CFD by Using FlowLab 13.4 Practical CFD Examples Example 13.1 - Developing Flow in a Pipe Entrance Region (FlowLab) Example 13.2 - Pipe Flow Through a Sudden Expansion (FlowLab) Example 13.3 - A Two-Dimensional Mixing Junction (FlowLab) Example 13.4 - Flow Over a Cylinder (FlowLab) References for Chapter 13 14. Femlab for Solving Fluid Mechanics Problems. 14.1 Introduction to FEMLAB 14.2 How to Run FEMLAB Example 14.1 - Flow in a Porous Medium with an Obstruction (FEMLAB) 14.3 Draw Mode 14.4 Solution and Related Modes 14.5 Fluid Mechanics Problems Solvable by FEMLAB Problems for Chapter 14 Appendix A: Useful Mathematical Relationships. Appendix B: Answers to the True/False Assertions. Appendix C: Some Vector and Tensor Operations. Index.