Home Page Icon
Home Page
Table of Contents for
Part I: Elements in Fluid Mechanics
Close
Part I: Elements in Fluid Mechanics
by Mathieu Mory
Fluid Mechanics for Chemical Engineering
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 steady-state 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
3.1. Principle of dimensional analysis, Vaschy–Buckingham theorem
3.2. Dimensional study of Navier–Stokes equations
3.3. Similarity theory
3.4. An application example: fall velocity of a spherical particle in a viscous fluid at rest
3.5. Application exercises
Chapter 4: Steady–State Hydraulic Circuits
4.1. Operating point of a hydraulic circuit
4.2. Steady-state flows in straight pipes: regular head loss
4.3. Turbulence in a pipe and velocity profile of the flow
4.4. Singular head losses
4.5. Notions on cavitation
4.6. Application exercises
4.7. Bibliography
Chapter 5: Pumps
5.1. Centrifugal pumps
5.2. Classification of turbo pumps and axial pumps
5.3. Positive displacement pumps
Chapter 6: Transient Flows in Hydraulic Circuits: Water Hammers
6.1. Sound propagation in a rigid pipe
6.2. Over-pressures associated with a water hammer: characteristic time of a hydraulic circuit
6.3. Linear elasticity of a solid body: sound propagation in an elastic pipe
6.4. Water hammer prevention devices
Chapter 7: Notions of Rheometry
7.1. Rheology
7.2. Strain, strain rate, solids and fluids
7.3. A rheology experiment: behavior of a material subjected to shear
7.4. The circular cylindrical rheometer (or Couette rheometer)
7.5. Application exercises
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 k-ε model
8.9. Appendix: solution of a diffusion equation in cylindrical coordinates
8.10. Application exercises
Chapter 9: Hydrodynamics and Residence Time Distribution – Stirring
9.1. Turbulence and residence time distribution
9.2. Stirring
9.3. Appendix: interfaces and the notion of surface tension
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
11.1. Notion of signal processing, expansion of a time signal into Fourier series
11.2. Turbulent energy spectrum.
11.3. Kolmogorov’s theory
11.4. The Kolmogorov scale.
11.5. Application to macromixing, micromixing and chemical reaction
11.6. Application exercises
Chapter 12: Micromixing Models
12.1. Introduction
12.2. CD model
12.3. Model of interaction by exchange with the mean
12.4. Conclusion
12.5. Application exercise
Part III: Mechanical Separation
Chapter 13: Physical Description of a Particulate Medium Dispersed Within a Fluid
13.1. Introduction
13.2. Solid particles
13.3 Fluid particles
13.4. Mass balance of a mechanical separation process
Chapter 14: Flows in Porous Media
14.1. Consolidated porous media; non-consolidated 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, Kozeny-Carman 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. Non-cohesive 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
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Prev
Previous Chapter
Preface
Next
Next Chapter
Chapter 1: Local Equations of Fluid Mechanics
Part I
Elements in Fluid Mechanics
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset