A Physical Introduction to Suspension DynamicsUnderstanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, particularly for single- and pair-body dynamics. Part II considers many-body dynamics, covering shear flows and sedimentation, bulk flow properties and collective phenomena. An interlude between the two parts provides the basic statistical techniques needed to employ the results of the first (microscopic) in the second (macroscopic). The authors introduce theoretical, mathematical concepts through concrete examples, making the material accessible to non-mathematicians. They also include some of the many open questions in the field to encourage further study. Consequently, this is an ideal introduction for students and researchers from other disciplines who are approaching suspension dynamics for the first time. |
Contents
| 1 | |
| 7 | |
Interlude FROM THE MICROSCOPIC TO THE MACROSCOPIC | 103 |
Part II TOWARD A DESCRIPTION OF MACROSCOPIC PHENOMENA IN SUSPENSIONS | 125 |
Epilogue | 213 |
| 217 | |
| 225 | |
Common terms and phrases
applied approximation average axis Batchelor behavior boundary conditions Brownian motion bulk center Chapter compute concentrated consider convection decaying density described developed diffusion dilute discussed dissipation disturbance flow drag force effects equilibrium fiber finite flow field fluctuations flux form given gradient gravity hard-sphere hydrodynamic force hydrodynamic interactions inertia integral isotropic linear macroscopic mechanics method microstructure migration Navier-Stokes equations normal stress normal stress differences note obtain Oseen pair probability particle motion Péclet point forces Poiseuille flow position pressure problem radial radius random walk rate of strain region relative resistance result Reynolds number rheology rotation scale section sedimentation settling shear flow shear rate shown in Figure simple shear simulation sketched small solid solution spherical Stokes equations Stokes flow Stokesian Dynamics streamlines stresslet surface suspension mechanics symmetry tensor term theorem ticle tion torque trajectories translating sphere vector velocity field vertical viscosity viscous fluid volume fraction zero