1st Edition

Microhydrodynamics and Complex Fluids

By Dominique Barthès-Biesel Copyright 2012
    256 Pages 125 B/W Illustrations
    by CRC Press

    256 Pages 125 B/W Illustrations
    by CRC Press

    A self-contained textbook, Microhydrodynamics and Complex Fluids deals with the main phenomena that occur in slow, inertialess viscous flows often encountered in various industrial, biophysical, and natural processes. It examines a wide range of situations, from flows in thin films, porous media, and narrow channels to flows around suspended particles. Each situation is illustrated with examples that can be solved analytically so that the main physical phenomena are clear. It also discusses a range of numerical modeling techniques.

    Two chapters deal with the flow of complex fluids, presented first with the formal analysis developed for the mechanics of suspensions and then with the phenomenological tools of non-Newtonian fluid mechanics. All concepts are presented simply, with no need for complex mathematical tools. End-of-chapter exercises and exam problems help you test yourself.

    Dominique Barthès-Biesel has taught this subject for over 15 years and is well known for her contributions to low Reynolds number hydrodynamics. Building on the basics of continuum mechanics, this book is ideal for graduate students specializing in chemical or mechanical engineering, material science, bioengineering, and physics of condensed matter.

    Fundamental Principles
    Mass Conservation
    Equation of Motion
    Newtonian Fluid
    Navier–Stokes Equations
    Energy Dissipation
    Dimensional Analysis

    General Properties of Stokes Flows
    Stationary Stokes Equations
    Simple Stokes Flow Problem
    Linearity and Reversibility
    Uniqueness
    Minimum Energy Dissipation
    Reciprocal Theorem
    Solution in Terms Of Harmonic Functions
    Problems

    Two-Dimensional Stokes Flow
    Stream Function
    Two-Dimensional Stokes Equation
    Wedge with a Moving Boundary
    Flow in Fixed Wedges
    Problems

    Lubrication Flows
    Two-Dimensional Lubrication Flows
    Three-Dimensional Lubrication Flow
    Flow between Fixed Solid Boundaries
    Flow in Porous Media
    Problems

    Free Surface Films
    Interface between Two Immiscible Fluids
    Gravity Spreading of a Fluid on a Horizontal Plane
    Stability of a Film down an inclined plane
    Problems

    Motion of a Solid Particle in a Fluid
    Motion of a Solid Particle in a Quiescent Fluid
    Isotropic Particles
    Flow around a Translating Sphere
    Flow around a Rotating Sphere
    Slender Particles
    Problems

    Flow of Bubbles and Droplets
    Freely Suspended Liquid Drop
    Translational Motion of a Bubble in a Quiescent Fluid
    Translational Motion of a Liquid Drop in a Quiescent Fluid
    Problems

    General Solutions of the Stokes Equations
    Flow Due to a Point Force
    Irrotational Solutions
    Series of Fundamental Solutions: Singularity Method
    Integral Form of the Stokes Equations
    Problems

    Introduction to Suspension Mechanics
    Homogenisation of a Suspension
    Micro–Macro Relationship
    Dilute Suspension
    Highly Concentrated Suspension of Spheres
    Numerical Modelling of a Suspension
    Conclusion
    Problems

    O(Re) Correction to Some Stokes Solutions
    Translation of a Sphere: Oseen Correction
    Translation of a Cylinder: Stokes Paradox
    Validity Limits of the Stokes Approximation
    Problem

    Non-Newtonian Fluids
    Introduction
    Non-Newtonian Fluid Mechanics
    Viscous Non-Newtonian Liquid
    Viscoelastic Fluid
    Linear Viscoelastic Laws
    Non-Linear Viscoelastic Laws
    Non-Newtonian Flow Examples
    Conclusion
    Problems

    Appendix A Notations
    Vectors and Tensors
    Einstein Summation Convention
    Integration on a Sphere

    Appendix B Curvilinear Coordinates
    Cylindrical Coordinates
    Spherical Coordinates

    Bibliography

    Index

    Biography

    Dominique Barthès-Biesel graduated from Ecole Centrale Paris and then earned a PhD in chemical engineering from Stanford University. She has been a professor at both Ecole Polytechnique and at Compiègne University of Technology, where she taught various classes in classical and complex fluid mechanics, biomechanics, and microfluidics. Professor Barthès-Biesel’s field of interest is fluid mechanics with a special emphasis on suspensions of deformable particles such as drops, cells, and capsules. She is well-known for her pioneering work on the motion and deformation of encapsulated droplets. She has directed 27 PhD theses, published over 70 papers, and also worked on industrial projects.

    "In view of the good choice of highly topical subject matter, the book will be of interest to a wide readership, not only among pure scientists. It will be useful to technicians, medical scientists and pharmaceutical chemists as a source of detailed information on advanced flow processes. ... [The chapters] are written in such a way that the reader can quickly absorb the essential information. The articles are of a high scientific standard and include interesting examples from many different areas of rheology."
    —Prof. Dr. Heinz Rehage, Institute of Physical Chemistry, Technische Universität Dortmund, Germany

    "[The author’s] long experience shows in the quality of the presentation and the writing. The presentation is at the advanced undergraduate/beginning graduate level, and is both crisp and precise, the author striking a good balance between being introductory and including ... important steps in the derivation. ... Many institutions are now developing courses on microfluidics, small scale fluid mechanics, and complex fluids. This book fills a niche in that market and is likely to be the definitive text in the subject, at this level, for some time to come."
    —G.M. Homsy, University of British Columbia, Canada

    "… gathers together several topics in an extended manner that differs with general books I know. … quite diverse and covers major areas, including recent developments …"
    —Misbah Chaouqi, CNRS and University J. Fourier, Grenoble