book

Fluid Mechanics for Chemical Engineering

by Mathieu Mory

March 2011

Intermediate to advanced

422 pages

10h 19m

English

Wiley

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1.1. Forces, stress tensor, and pressure1.2. Navier–Stokes equations in Cartesian coordinates1.3. The plane Poiseuille flow1.4. Navier–Stokes equations in cylindrical coordinates: Poiseuille flow in a circular cylindrical pipe1.5. Plane Couette flow1.6. The boundary layer concept1.7. Solutions of Navier–Stokes equations where a gravity field is present, hydrostatic pressure1.8. Buoyancy force1.9. Some conclusions on the solutions of Navier–Stokes equations
2.1. Euler equations in an intrinsic coordinate system2.2. Bernoulli’s theorem2.3. Pressure variation in a direction normal to a streamline2.4. Momentum theorem2.5. Evaluating friction for a steady-state flow in a straight pipe2.6. Pressure drop in a sudden expansion (Borda calculation)2.7. Using the momentum theorem in the presence of gravity2.8. Kinetic energy balance and dissipation2.9. Application exercises
3.1. Principle of dimensional analysis, Vaschy–Buckingham theorem3.2. Dimensional study of Navier–Stokes equations3.3. Similarity theory3.4. An application example: fall velocity of a spherical particle in a viscous fluid at rest3.5. Application exercises
4.1. Operating point of a hydraulic circuit4.2. Steady-state flows in straight pipes: regular head loss4.3. Turbulence in a pipe and velocity profile of the flow4.4. Singular head losses4.5. Notions on cavitation4.6. Application exercises4.7. Bibliography
5.1. Centrifugal pumps5.2. Classification of turbo pumps and axial pumps5.3. Positive displacement pumps

6.1. Sound propagation in a rigid pipe6.2. Over-pressures associated with a water hammer: characteristic time of a hydraulic circuit6.3. Linear elasticity of a solid body: sound propagation in an elastic pipe6.4. Water hammer prevention devices
7.1. Rheology7.2. Strain, strain rate, solids and fluids7.3. A rheology experiment: behavior of a material subjected to shear7.4. The circular cylindrical rheometer (or Couette rheometer)7.5. Application exercises
8.1. Introduction8.2. Concept of average in the turbulent sense, steady turbulence, and homogeneous turbulence8.3. Average velocity and RMS turbulent velocity8.4. Length scale of turbulence: integral scale.8.5. Turbulent flux of a scalar quantity: averaged diffusion equation8.6. Modeling turbulent fluxes using the mixing length model8.7. Turbulent dispersion8.8. The k-ε model8.9. Appendix: solution of a diffusion equation in cylindrical coordinates8.10. Application exercises
9.1. Turbulence and residence time distribution9.2. Stirring9.3. Appendix: interfaces and the notion of surface tension
10.1. Introduction10.2. Characterization of the mixture: segregation index10.3. The dynamics of mixing10.4. Homogenization of a scalar field by molecular diffusion: micromixing 10.5. Diffusion and chemical reactions10.6. Macromixing, micromixing, and chemical reactions10.7. Experimental demonstration of the micromixing process
11.1. Notion of signal processing, expansion of a time signal into Fourier series11.2. Turbulent energy spectrum.11.3. Kolmogorov’s theory11.4. The Kolmogorov scale.11.5. Application to macromixing, micromixing and chemical reaction11.6. Application exercises
12.1. Introduction12.2. CD model12.3. Model of interaction by exchange with the mean12.4. Conclusion12.5. Application exercise
13.1. Introduction13.2. Solid particles13.3 Fluid particles13.4. Mass balance of a mechanical separation process
14.1. Consolidated porous media; non-consolidated porous media, and geometrical characterization14.2. Darcy’s law14.3. Examples of application of Darcy’s law14.4. Modeling Darcy’s law through an analogy with the flow inside a network of capillary tubes14.5. Modeling permeability, Kozeny-Carman formula14.6. Ergun’s relation14.7. Draining by pressing14.8. The reverse osmosis process14.9. Energetics of membrane separation14.10. Application exercises
15.1. Settling of a rigid particle in a fluid at rest15.2. Settling of a set of solid particles in a fluid at rest15.3. Settling or rising of a fluid particle in a fluid at rest15.4. Particles being held in suspension by Brownian motion15.5. Particles being held in suspension by turbulence15.6. Fluidized beds15.7. Application exercises
16.1. Notations and hypotheses16.2. The Basset, Boussinesq, Oseen, and Tchen equation16.3. Movement of a particle subjected to gravity in a fluid at rest16.4. Movement of a particle in a steady, unidirectional shear flow16.5. Lift force applied to a particle by a unidirectional flow16.6. Centrifugation of a particle in a rotating flow16.7. Applications to the transport of a particle in a turbulent flow or in a laminar flow
17.1 Rotating flows, circulation, and velocity curl17.2. Some examples of rotating flows17.3. The principle of centrifugal separation17.4. Centrifuge decanters17.5. Centrifugal separators17.6. Centrifugal filtration17.7. Hydrocyclones17.8. Energetics of centrifugal separation.17.9. Application exercise
18.1. Static friction: Coulomb’s law of friction18.2. Non-cohesive granular materials: Angle of repose, angle of internal friction18.3. Microscopic approach to a granular material18.4. Macroscopic modeling of the equilibrium of a granular material in a silo18.5. Flow of a granular material: example of an hourglass

Overview

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.

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Chemical Engineering Fluid Mechanics, 3rd Edition

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ISBN: 9781118616918Purchase book

Fluid Mechanics for Chemical Engineering

by Mathieu Mory

Overview

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

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Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,and much more.

You might also like

Chemical Engineering Fluid Mechanics, 3rd Edition

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Publisher Resources

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.