Book description
The book aims at providing to master and PhD students the basic knowledge in fluid mechanics for chemical engineers. Applications to mixing and reaction and to mechanical separation processes are addressed.
The first part of the book presents the principles of fluid mechanics used by chemical engineers, with a focus on global theorems for describing the behavior of hydraulic systems. The second part deals with turbulence and its application for stirring, mixing and chemical reaction. The third part addresses mechanical separation processes by considering the dynamics of particles in a flow and the processes of filtration, fluidization and centrifugation. The mechanics of granular media is finally discussed.
Table of contents
 Cover
 Title Page
 Copyright
 Preface

Part I: Elements in Fluid Mechanics

Chapter 1: Local Equations of Fluid Mechanics
 1.1. Forces, stress tensor, and pressure
 1.2. Navier–Stokes equations in Cartesian coordinates
 1.3. The plane Poiseuille flow
 1.4. Navier–Stokes equations in cylindrical coordinates: Poiseuille flow in a circular cylindrical pipe
 1.5. Plane Couette flow
 1.6. The boundary layer concept
 1.7. Solutions of Navier–Stokes equations where a gravity field is present, hydrostatic pressure
 1.8. Buoyancy force
 1.9. Some conclusions on the solutions of Navier–Stokes equations

Chapter 2: Global Theorems of Fluid Mechanics
 2.1. Euler equations in an intrinsic coordinate system
 2.2. Bernoulli’s theorem
 2.3. Pressure variation in a direction normal to a streamline
 2.4. Momentum theorem
 2.5. Evaluating friction for a steadystate flow in a straight pipe
 2.6. Pressure drop in a sudden expansion (Borda calculation)
 2.7. Using the momentum theorem in the presence of gravity
 2.8. Kinetic energy balance and dissipation
 2.9. Application exercises
 Chapter 3: Dimensional Analysis
 Chapter 4: Steady–State Hydraulic Circuits
 Chapter 5: Pumps
 Chapter 6: Transient Flows in Hydraulic Circuits: Water Hammers
 Chapter 7: Notions of Rheometry

Chapter 1: Local Equations of Fluid Mechanics

Part II: Mixing and Chemical Reactions

Chapter 8: Large Scales in Turbulence: Turbulent Diffusion – Dispersion
 8.1. Introduction
 8.2. Concept of average in the turbulent sense, steady turbulence, and homogeneous turbulence
 8.3. Average velocity and RMS turbulent velocity
 8.4. Length scale of turbulence: integral scale.
 8.5. Turbulent flux of a scalar quantity: averaged diffusion equation
 8.6. Modeling turbulent fluxes using the mixing length model
 8.7. Turbulent dispersion
 8.8. The kε model
 8.9. Appendix: solution of a diffusion equation in cylindrical coordinates
 8.10. Application exercises
 Chapter 9: Hydrodynamics and Residence Time Distribution – Stirring

Chapter 10: Micromixing and Macromixing
 10.1. Introduction
 10.2. Characterization of the mixture: segregation index
 10.3. The dynamics of mixing
 10.4. Homogenization of a scalar field by molecular diffusion: micromixing
 10.5. Diffusion and chemical reactions
 10.6. Macromixing, micromixing, and chemical reactions
 10.7. Experimental demonstration of the micromixing process
 Chapter 11: Small Scales in Turbulence
 Chapter 12: Micromixing Models

Chapter 8: Large Scales in Turbulence: Turbulent Diffusion – Dispersion

Part III: Mechanical Separation
 Chapter 13: Physical Description of a Particulate Medium Dispersed Within a Fluid

Chapter 14: Flows in Porous Media
 14.1. Consolidated porous media; nonconsolidated porous media, and geometrical characterization
 14.2. Darcy’s law
 14.3. Examples of application of Darcy’s law
 14.4. Modeling Darcy’s law through an analogy with the flow inside a network of capillary tubes
 14.5. Modeling permeability, KozenyCarman formula
 14.6. Ergun’s relation
 14.7. Draining by pressing
 14.8. The reverse osmosis process
 14.9. Energetics of membrane separation
 14.10. Application exercises

Chapter 15: Particles Within the Gravity Field
 15.1. Settling of a rigid particle in a fluid at rest
 15.2. Settling of a set of solid particles in a fluid at rest
 15.3. Settling or rising of a fluid particle in a fluid at rest
 15.4. Particles being held in suspension by Brownian motion
 15.5. Particles being held in suspension by turbulence
 15.6. Fluidized beds
 15.7. Application exercises

Chapter 16: Movement of a Solid Particle in a Fluid Flow
 16.1. Notations and hypotheses
 16.2. The Basset, Boussinesq, Oseen, and Tchen equation
 16.3. Movement of a particle subjected to gravity in a fluid at rest
 16.4. Movement of a particle in a steady, unidirectional shear flow
 16.5. Lift force applied to a particle by a unidirectional flow
 16.6. Centrifugation of a particle in a rotating flow
 16.7. Applications to the transport of a particle in a turbulent flow or in a laminar flow

Chapter 17: Centrifugal Separation
 17.1 Rotating flows, circulation, and velocity curl
 17.2. Some examples of rotating flows
 17.3. The principle of centrifugal separation
 17.4. Centrifuge decanters
 17.5. Centrifugal separators
 17.6. Centrifugal filtration
 17.7. Hydrocyclones
 17.8. Energetics of centrifugal separation.
 17.9. Application exercise

Chapter 18: Notions on Granular Materials
 18.1. Static friction: Coulomb’s law of friction
 18.2. Noncohesive granular materials: Angle of repose, angle of internal friction
 18.3. Microscopic approach to a granular material
 18.4. Macroscopic modeling of the equilibrium of a granular material in a silo
 18.5. Flow of a granular material: example of an hourglass
 Physical Properties of Common Fluids
 Index
Product information
 Title: Fluid Mechanics for Chemical Engineering
 Author(s):
 Release date: March 2011
 Publisher(s): Wiley
 ISBN: 9781848212817
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