Dynamics of Bubbles, Drops and Rigid Particles

1. Front Matter

   Pages i-xix

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2. Governing Equations and General Properties of Fluid Flows

   1. Governing Equations and Boundary Conditions for Fluid Flows

      • Z. Zapryanov, S. Tabakova

      Pages 1-11

   2. Fundamental Theorems and General Properties of Stokes Flows

      • Z. Zapryanov, S. Tabakova

      Pages 13-41

3. Steady Flows. Hydrodynamics of a Single Rigid or Fluid Particle

   1. Application of the Singularity Method for a Single Rigid or Fluid Particle

      • Z. Zapryanov, S. Tabakova

      Pages 43-74

   2. Solutions via Superposition of Vector Harmonic Functions

      • Z. Zapryanov, S. Tabakova

      Pages 75-86

   3. Other Methods to Study the Flow Past Single Rigid or Fluid Particles

      • Z. Zapryanov, S. Tabakova

      Pages 87-131

   4. Deformations of a Single Fluid Particle in a Viscous Flow

      • Z. Zapryanov, S. Tabakova

      Pages 133-176

4. Steady Flows. Hydrodynamic Interactions between Rigid or Fluid Particles

   1. Hydrodynamic Interactions between Two Rigid or Fluid Particles

      • Z. Zapryanov, S. Tabakova

      Pages 177-233

   2. Boundary Effects on the Motion of a Single Rigid or Fluid Particle

      • Z. Zapryanov, S. Tabakova

      Pages 235-277

   3. Many-Particles Hydrodynamic Interactions. Sedimentation

      • Z. Zapryanov, S. Tabakova

      Pages 279-306

   4. Hydrodynamic Interaction between Particles and Effective Viscosity of Suspensions and Emulsions

      • Z. Zapryanov, S. Tabakova

      Pages 307-336

5. Unsteady Flows. Hydrodynamic Interactions between Drops, Bubbles and Rigid Particles

   1. Unsteady Motion of Rigid or Fluid Particles in Stokes Approximation

      • Z. Zapryanov, S. Tabakova

      Pages 337-364

   2. Application of the Singularity Method for Unsteady Flows Past Rigid or Fluid Particles

      • Z. Zapryanov, S. Tabakova

      Pages 365-400

   3. Hydrodynamic Interactions in Some Unsteady Viscous Flows

      • Z. Zapryanov, S. Tabakova

      Pages 401-436

   4. Finite Deformations of Drops and Bubbles at Moderate Reynolds Numbers Flows

      • Z. Zapryanov, S. Tabakova

      Pages 437-486

6. Back Matter

   Pages 487-514

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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.

• applied mathematics
• chemical engineering
• dynamics
• fluid mechanics
• viscosity
• fluid- and aerodynamics

• Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria

  Z. Zapryanov

• Department of Mechanics, Technical University of Plovdiv, Plovdiv, Bulgaria

  S. Tabakova

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