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A Physical Introduction to Suspension Dynamics.
Opens up the field by introducing theoretical, mathematical concepts in physical form through examples.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2011.
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| Colección: | Cambridge texts in applied mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; A Physical Introduction to Suspension Dynamics; Dedication; Title; Copyright; Contents; Preface; Prologue; Part I MICROHYDRODYNAMICS; 1 Basic concepts in viscous flow; 1.1 The fluid dynamic equations; 1.2 Scaling arguments and the Stokes approximation; 1.3 Buoyancy and drag; 1.4 Properties of Stokes flow; 1.4.1 Linearity; 1.4.2 Reversibility; 1.4.3 Instantaneity; 1.4.4 And more ... ; Appendix: Three Stokes-flow theorems; A.1 Minimum energy dissipation; A.2 A corollary: Uniqueness; A.3 Reciprocal theorem; Exercises; 2 One sphere in Stokes flow.
- 2.1 Three single sphere flows: rotation, translation, straining2.1.1 Rotation; 2.1.2 Translation; 2.1.3 Straining; 2.2 Hydrodynamic force, torque, and stresslet; 2.2.1 Force; 2.2.2 Torque; 2.2.3 Stresslet; 2.2.4 Computing the hydrodynamic force; 2.3 Faxén laws for the sphere; 2.4 A sphere in simple shear flow; Exercises; 3 Toward more sophisticated solution techniques; 3.1 Point force solution; 3.2 Point torque and stresslet; 3.3 Integral representation; 3.4 Multipole representation; 3.5 Resistance matrices; 3.6 Motion of different types of particles; 3.7 Slender-body theory.
- 3.8 Boundary integral methodExercises; 4 Particle pair interactions; 4.1 A sedimenting pair; The method of reflections; 4.2 A pair in shear; 4.3 Pair lubrication interactions; Two spheres in squeeze flow; 4.4 Stokesian Dynamics; Interlude FROM THE MICROSCOPIC TO THE MACROSCOPIC; 5 A short presentation of statistical and stochastic concepts; 5.1 Statistical physics; 5.2 Averaging concepts; 5.2.1 Ensemble and other averages; 5.2.2 Probability distributions; 5.3 Fluctuational motion; 5.3.1 Random walks and diffusion; 5.3.2 Brownian motion; 5.4 Two routes to diffusive dynamics.
- 5.4.1 A macroscopic approach: Stokes-Einstein relation and Smoluchowski equation5.4.2 A microscopic approach: Langevin equation; 5.5 Chaotic dynamics; Part II TOWARD A DESCRIPTION OF MACROSCOPIC PHENOMENA IN SUSPENSIONS; 6 Sedimentation; 6.1 One, two, three ... spheres; 6.2 Clusters and clouds; 6.3 Settling of a suspension of spheres; 6.4 Influence of the lateral walls of the vessel: Intrinsic convection; 6.5 Velocity fluctuations and hydrodynamic diffusion; 6.6 Fronts; 6.7 Settling of particles in an inclined vessel: Boycott effect; 6.8 More on polydispersity and anisotropy; 7 Shear flow.
- 7.1 Suspension viscosity7.1.1 Computing the Einstein viscosity; 7.1.2 First effects of particle interaction on æs; 7.2 Non-Newtonian rheology in suspensions; 7.2.1 Rate and time dependence of viscosity; 7.2.2 Normal stresses in suspensions; 7.2.3 Stress mechanisms; 7.3 Microstructure of sheared suspensions; 7.3.1 Concentrated suspension microstructure; 7.3.2 Smoluchowski theory of suspension microstructure; Equilibrium structure; Scaled Smoluchowski equation; Small Pe; Large Pe; 7.4 Constitutive modeling of suspension stress; 7.5 Irreversible dynamics in shear flow.