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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.




This book considers the main hydrodynamic aspects of the dynamics of bubbles, drops and rigid particles with a special emphasis on the deformations and hydrodynamic interactions between fluid particles in uniform or shear flows and hydrodynamic interactions between rigid spherical particles in an oscillatory flow. There is no other published book to date which reveals these topics in the described manner.
Readers should have a basic understanding of introductory fluid mechanics, real analysis and numerical methods. The book provides the basis for quantitative description of the phenomena that occur in the dynamics of bubbles, drops and rigid particles.
The book is intended to serve both as a graduate textbook for students in chemical engineering, physics and applied mathematics, and as a reference monograph for academic and industrial researchers.


This book considers the main hydrodynamic aspects of the dynamics of bubbles, drops and rigid particles with a special emphasis on the deformations and hydrodynamic interactions between fluid particles in uniform or shear flows and hydrodynamic interactions between rigid spherical particles in an oscillatory flow. There is no other published book to date which reveals these topics in the described manner.
Readers should have a basic understanding of introductory fluid mechanics, real analysis and numerical methods. The book provides the basis for quantitative description of the phenomena that occur in the dynamics of bubbles, drops and rigid particles.
The book is intended to serve both as a graduate textbook for students in chemical engineering, physics and applied mathematics, and as a reference monograph for academic and industrial researchers.
Content:
Front Matter....Pages i-xix
Governing Equations and Boundary Conditions for Fluid Flows....Pages 1-11
Fundamental Theorems and General Properties of Stokes Flows....Pages 13-41
Application of the Singularity Method for a Single Rigid or Fluid Particle....Pages 43-74
Solutions via Superposition of Vector Harmonic Functions....Pages 75-86
Other Methods to Study the Flow Past Single Rigid or Fluid Particles....Pages 87-131
Deformations of a Single Fluid Particle in a Viscous Flow....Pages 133-176
Hydrodynamic Interactions between Two Rigid or Fluid Particles....Pages 177-233
Boundary Effects on the Motion of a Single Rigid or Fluid Particle....Pages 235-277
Many-Particles Hydrodynamic Interactions. Sedimentation....Pages 279-306
Hydrodynamic Interaction between Particles and Effective Viscosity of Suspensions and Emulsions....Pages 307-336
Unsteady Motion of Rigid or Fluid Particles in Stokes Approximation....Pages 337-364
Application of the Singularity Method for Unsteady Flows Past Rigid or Fluid Particles....Pages 365-400
Hydrodynamic Interactions in Some Unsteady Viscous Flows....Pages 401-436
Finite Deformations of Drops and Bubbles at Moderate Reynolds Numbers Flows....Pages 437-486
Back Matter....Pages 487-514


This book considers the main hydrodynamic aspects of the dynamics of bubbles, drops and rigid particles with a special emphasis on the deformations and hydrodynamic interactions between fluid particles in uniform or shear flows and hydrodynamic interactions between rigid spherical particles in an oscillatory flow. There is no other published book to date which reveals these topics in the described manner.
Readers should have a basic understanding of introductory fluid mechanics, real analysis and numerical methods. The book provides the basis for quantitative description of the phenomena that occur in the dynamics of bubbles, drops and rigid particles.
The book is intended to serve both as a graduate textbook for students in chemical engineering, physics and applied mathematics, and as a reference monograph for academic and industrial researchers.
Content:
Front Matter....Pages i-xix
Governing Equations and Boundary Conditions for Fluid Flows....Pages 1-11
Fundamental Theorems and General Properties of Stokes Flows....Pages 13-41
Application of the Singularity Method for a Single Rigid or Fluid Particle....Pages 43-74
Solutions via Superposition of Vector Harmonic Functions....Pages 75-86
Other Methods to Study the Flow Past Single Rigid or Fluid Particles....Pages 87-131
Deformations of a Single Fluid Particle in a Viscous Flow....Pages 133-176
Hydrodynamic Interactions between Two Rigid or Fluid Particles....Pages 177-233
Boundary Effects on the Motion of a Single Rigid or Fluid Particle....Pages 235-277
Many-Particles Hydrodynamic Interactions. Sedimentation....Pages 279-306
Hydrodynamic Interaction between Particles and Effective Viscosity of Suspensions and Emulsions....Pages 307-336
Unsteady Motion of Rigid or Fluid Particles in Stokes Approximation....Pages 337-364
Application of the Singularity Method for Unsteady Flows Past Rigid or Fluid Particles....Pages 365-400
Hydrodynamic Interactions in Some Unsteady Viscous Flows....Pages 401-436
Finite Deformations of Drops and Bubbles at Moderate Reynolds Numbers Flows....Pages 437-486
Back Matter....Pages 487-514
....
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