Links Go to the Fluids Group Go to Chemical Engineering's Home Page The Phenomena of Fluid Motions published by Dover Publications, Inc. Dover Publications, Inc. 180 Varick Street New York, NY 10014 Tel: (516) 294-7000 Contents Part I: A Theoretical Background to Fluid Flow Chapter 1 Introduction Chapter 2 Vector and Tensor Notation 2-1 Introduction 2-2 Scalar Quantities and Vectors 2-3 The Scalar Product of Two Vectors 2-4 The Vector Product of Two Vectors 2-5 The Operators , del-squared, D/Dt 2-6 Tensors 2-7 Integrals A. Line or Curve Integral B. Surface Integral C. Differentiation of an Integral 2-8 Stokes' Theorem 2-9 Gauss' Theorem 2-10 Green's Theorems 2-11 Transformations Chapter 3 The Equations of Change 3-1 Introduction 3-2 The Equations of Change in Terms of Fluxes A. The Flux Vectors B. The General Property Balance C. Explicit Expressions for the Equations of Change - The Continuity Equation - The Momentum Equation - The Energy Equation - Summary of the Equations of Change D. Comments 3-3 The Fluxes in Terms of the Transport Coefficients Chapter 4 The Navier-Stokes Equation 4-1 Derivation 4-2 Summary Part II: Applications of the Basic Flow Equations Chapter 5 Introduction Chapter 6 Ideal Flow 6-1 The Euler Equation of Motion 6-2 The Velocity Potential 6-3 The Stream Function and Two-Dimensional Potential Flow 6-4 Sources, Sinks, and Circulation 6-5 Vortex Motion Chapter 7 Laminar Viscous Flow: Exact Solutions 7-1 The Flow Along a Flat Plate 7-2 The Flow Between Two Flat Plates 7-3 Hagen-Poiseuille Flow, or Flow in a Circular Pipe 7-4 Flow Between Rotating Cylinders 7-5 Compressible Flow Chapter 8 Laminar Viscous Flow: Very Slow Motion 8-1 Stokes' Law 8-2 Oseen's Analysis 8-3 Alternate Shapes of Particles 8-4 Wall and Other Effects Chapter 9 Laminar Viscous Flow: The Boundary Layer 9-1 The Boundary Layer Equations for Flow over a Flat Plate 9-2 Analysis of the Boundary Layer Equations 9-3 The Boundary Layer on a Flat Plate 9-4 Comparisons of Commencement of Flow and Flow along a Flat Plate 9-5 Flow in a Circular Pipe and Between Parallel Plates 9-6 Similar Solutions 9-7 Separation 9-8 Other Items and Summary Chapter 10 Integral Methods of Analysis 10-1 The General Integral Equation of Change A. The Integral Mass Balance B. The Integral Momentum Balance C. The von Kármán Theorem of Integral Momentum D. The Integral Energy Balance E. The Integral Angular Momentum Balance 10-2 The Bernoulli Equation for Ideal Flow 10-3 The Mechanical Energy Balance of the Engineering Bernoulli Equation Chapter 11 Methods of Analysis 11-1 Inspection Analysis 11-2 Dimensional Analysis 11-3 Modeling 11-4 Dimensionless Groups; Completeness of Sets Chapter 12 Compressible Flow 12-1 Thermodynamics A. The First Law B. The Second Law C. Specific Heats D. The Perfect Gas - Isothermal Expansion - Isentropic Expansion 12-2 Compressible Fluid Flow A. Propagation of a Small Pressure Wave (Velocity of Sound) B. Velocity of Sound for a Perfect Gas C. Subsonic and Supersonic Flow 12-3 One-Dimensional, Steady, Adiabatic Flow of a Perfect Gas A. Adiabatic Flow B. Isentropic Flow - General Considerations - Converging Nozzles and Choking - Converging-Diverging Nozzle C. Nonisentropic Flow - General Considerations of Constant-Area Flow - Shock in a Perfect Gas in Constant-Area Flow - Converging-Diverging Nozzle - Wall Friction in a Perfect Gas in Constant-Area Flow - Flow in Long Ducts For further information you can contact Robert S. Brodkey at (614) 292-2609; brodkey.1@osu.edu

Contents(continued) Part III : Extensions of the Basic Flow Equations Chapter 13 Introduction Chapter 14 Turbulence and Mixing 14-1 Stability 14-2 The Reynolds Equation for Turbulent Motion A. The Equation B. Reynolds Stress C. Integration of the Reynolds Equation 14-3 Phenomenological Theories A. Boussinesq's Theory B. Prandtl's Mixing-Length Theory C. Taylor's Vorticity-Transport Theory D. Von Kármán's Similarity Hypothesis E. Dimensional-Analysis Approach F. Velocity Distribution for Turbulent Flow - Separate Equations for Each Area of Flow - Alternate Expressions for the Sublayer and Buffer Zones - Universal Velocity Distributions G. Friction Factors in Pipes and Velocity Distributions in Rough Pipes H. Reynolds Stresses Ch.E. 815.08 WILL TAKE US TO THIS POINT IN THE TEXTo Visit 14-4 The Statistical Theory of Turbulent Flow A. Introduction to Terms and Definitions - Description of Turbulence - Correlation - Intensity - Scale - Spectrum - Probability Distribution - Summary of Terms B. Equations of Statistical Turbulence C. Isotropic Turbulence Experimental and Measurement Methods - Theoretical Analysis D. Local Isotropic Turbulence The Reynolds Number - Some Experimental Results E. Turbulent Shear Flow - The Energy Balance - Intermittency - Velocity Distribution F. Turbulent Dispersion G. Mixing - Criteria for Mixing - Mixing in an Isotropic Field - Chemical Reaction and Reactors -Experimental Chapter 15 Non-Newtonian Phenomena 15-1 Rheological Characteristics of Materials A. Solids and Newtonian Fluids B. Non-Newtonian Materials - Shear-Thinning Materials - Shear-Thickening Materials - Time-Dependent Systems - Normal Stress Effects C. Rheological Measurements D. Rheological Equations of State - Empirical and Semi-empirical Equations - Theoretical Approaches - Constitutive Equations 15-2 Non-Newtonian Fluid Flow A. Viscometric Flows - Capillary Flow - Rotational Flow B. Pip e and Other Flows - The Reynolds Number - Correlations for Pressure Drop - The Critical Reynolds Number - Velocity Profiles - Other Problems Chapter 16 Multiphase Phenomena I: Pipe Flow 16-1 Two-Component Isothermal Flow A. Flow Patterns B. Pressure-Drop and Void-Fraction Correlations - Equations of Two-Phase Flow - Overall Correlations - Specific Two-Phase Flow Problems and Analysis 16-2 Adiabatic, Evaporating, One-Component Flow A. Equations of Flow with Interphase Transfer B. Overall Methods = Friction-Factor Models - Martinelli-Nelson Overall Approach C. Specific Problems and Analyses - Homogeneous Models - Annular-Flow Models - Critical Flow 16-3 One-Component Two-Phase Flow with Heat Transfer A. Heat Transfer During Forced-Convection Boiling B. Overall Models C. Specific Flow Problems - Nucleate Boiling Region - Slug-Flow Boiling Region - Annular-Flow Boiling Region - Critical Heat Flux or Burnout Region Chapter 17 Multiphase Phenomena II: Free Flow 17-1 Formation of Drops and Bubbles A. Detachment of Drops and Bubbles - Formation of Drops from Tips - Formation of Bubbles from Orifices B. Breakup of Jets - The Rayleigh Jet - Areas of Flow - Drop Distributions - Further Observations C. Atomization - Breakup of Liquid Sheet - Breakup of Drops - Atomizing Systems D. Drop and Particle Size Distribution - Distribution Analysis - Some Experimental Results 17-2 Motion of Single Drops and Bubbles A. The Effect of Circulation B. Some Experimental Evidence C. Analytical Representations D. Large Bubbles E. The Interface F. Mass and Heat Transfer 17-3 Interaction Effects for Drops and Bubbles Chapter 18 Multiphase Phenomena III: Solids-Fluid Flow 18-1 Introduction 18-2 Particle Behavior in Dilute Systems A. Motion Which Is, in Effect, Single-Particle Motion - Laminar Flow Conditions - Turbulent Flow Conditions B. Elementary Particle-to-Particle Interactions 18-3 Multiparticle Systems in Homogeneous Flow A. The Integral Approach for Vertical Systems - The Equations - The Viscosity Function - Operational Diagrams B. Specific Analyses for Vertical Systems - Particulate Fluidization - Hindered Settling C. Solids Transport Systems 18-4 Transition Between Flows A. Transition from Particulate to Aggregate Fluidization B. Minimum Transport Velocity 18-5 Multiparticle Systems in Nonhomogeneous Flow A. General Considerations B. Bubble Dynamics - Bubble Formation at a Submerged Orifice - Bubble Shape - Motion - The Ideal Bubble Model - Bed Characteristics at Higher Velocities C. Solid Dynamics D. Fluidized Bed Models - The Two-Phase Model - Multizone Model E. Modified Systems F. Mass and Heat Transfer and Kinetics