Microhydrodynamics and Complex Fluids

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 PrinciplesMass ConservationEquation of MotionNewtonian FluidNavier–Stokes EquationsEnergy DissipationDimensional AnalysisGeneral Properties of Stokes FlowsStationary Stokes EquationsSimple Stokes Flow ProblemLinearity and ReversibilityUniqueness Minimum Energy DissipationReciprocal Theorem Solution in Terms Of Harmonic FunctionsProblemsTwo-Dimensional Stokes FlowStream FunctionTwo-Dimensional Stokes EquationWedge with a Moving BoundaryFlow in Fixed WedgesProblemsLubrication FlowsTwo-Dimensional Lubrication FlowsThree-Dimensional Lubrication FlowFlow between Fixed Solid BoundariesFlow in Porous MediaProblemsFree Surface FilmsInterface between Two Immiscible FluidsGravity Spreading of a Fluid on a Horizontal PlaneStability of a Film down an inclined planeProblemsMotion of a Solid Particle in a FluidMotion of a Solid Particle in a Quiescent FluidIsotropic ParticlesFlow around a Translating SphereFlow around a Rotating SphereSlender ParticlesProblemsFlow of Bubbles and DropletsFreely Suspended Liquid DropTranslational Motion of a Bubble in a Quiescent FluidTranslational Motion of a Liquid Drop in a Quiescent FluidProblemsGeneral Solutions of the Stokes EquationsFlow Due to a Point ForceIrrotational SolutionsSeries of Fundamental Solutions: Singularity MethodIntegral Form of the Stokes EquationsProblemsIntroduction to Suspension MechanicsHomogenisation of a SuspensionMicro–Macro RelationshipDilute SuspensionHighly Concentrated Suspension of SpheresNumerical Modelling of a SuspensionConclusionProblemsO(Re) Correction to Some Stokes SolutionsTranslation of a Sphere: Oseen CorrectionTranslation of a Cylinder: Stokes ParadoxValidity Limits of the Stokes ApproximationProblemNon-Newtonian FluidsIntroductionNon-Newtonian Fluid MechanicsViscous Non-Newtonian LiquidViscoelastic FluidLinear Viscoelastic LawsNon-Linear Viscoelastic LawsNon-Newtonian Flow ExamplesConclusionProblemsAppendix A NotationsVectors and TensorsEinstein Summation ConventionIntegration on a SphereAppendix B Curvilinear CoordinatesCylindrical CoordinatesSpherical CoordinatesBibliographyIndex

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.