Dynamics of Bubbles, Drops and Rigid Particles

ISBN-13: 9780792353478 / Angielski / Twarda / 1998 / 516 str.

Z. Zapryanov; S. Tabakova; S. Tabakova

Opis

1. Objective and Scope Bubbles, drops and rigid particles occur everywhere in life, from valuable industrial operations like gas-liquid contracting, fluidized beds and extraction to such vital natural processes as fermentation, evaporation, and sedimentation. As we become increasingly aware of their fundamental role in industrial and biological systems, we are driven to know more about these fascinating particles. It is no surprise, therefore, that their practical and theoretical implications have aroused great interest among the scientific community and have inspired a growing number of studies and publications. Over the past ten years advances in the field of small Reynolds numbers flows and their technological and biological applications have given rise to several definitive monographs and textbooks in the area. In addition, the past three decades have witnessed enormous progress in describing quantitatively the behaviour of these particles. However, to the best of our knowledge, there are still no available books that reflect such achievements in the areas of bubble and drop deformation, hydrodynamic interactions of deformable fluid particles at low and moderate Reynolds numbers and hydrodynamic interactions of particles in oscillatory flows. Indeed, only one more book is dedicated entirely to the behaviour of bubbles, drops and rigid particles "Bubbles, Drops and Particles" by Clift et al. (1978)] and the authors state its limitations clearly in the preface: "We treat only phenomena in which particle-particle interactions are of negligible importance. Hence, direct application of the book is limited to single-particle systems of dilute suspensions.

Spis treści

Part I: Governing Equations and General Properties of Fluid Flows. 1. Governing Equations and Boundary Conditions for Fluid Flows. 2. Fundamental Theorems and General Properties of Stokes Flows. Part II: Steady Flows. Hydrodynamics of a Single Rigid or Fluid Particle. 3. Application of the Singularity Method for a Single Rigid or Fluid Particle. 4. Solutions via Superposition of Vector Harmonic Functions. 5. Other Methods to Study the Flow Past Single Rigid or Fluid Particles. 6. Deformations of a Single Fluid Particle in a Viscous FLow. Part III: Steady Flows. Hydrodynamic Intractions between Rigid or Fluid Particles. 7. Hydrodynamic Interactions between Two Rigid or Fluid Particles. 8. Boundary Effects on the Motion of a Single Rigid or Fluid Particle. 9. Many-Particles Hydrodynamic Interactions. Sedimentation. 10. Hydrodynamic Interaction between Particles and Effective Viscosity of Suspensions and Emulsions. Part IV: Unsteady Flows. Hydrodynamic Interactions between Drops, Bubbles and Rigid Particles. 11. Unsteady Motion of Rigid or Fluid Particles in Stokes Approximation. 12. Application of the Singularity Method for Unsteady Flows Past Rigid or Fluid Particles. 13. Hydrodynamic Interactions in Some Unsteady Viscous Flows. 14. Finite Deformations of Drops and Bubbles at Moderate Reynolds Numbers Flows. References. Index.