"This book is well organized and comprehensive . . . an eloquent and enduring statement of significant hydrodynamic principles." — AIChE Journal
Microhydrodynamics concerns the flow and related phenomena pertinent to the motion of small particles suspended in viscous fluids. This text focuses on determining the motion of a particle or particles through a viscous fluid in bounded and unbounded flow. Its central theme is the mobility relation between particle motion and forces.
Microhydrodynamics: Principles and Selected Applications functions as a manual that explains methods for solving particulate flows at low-Reynolds number, from analytical to computational methods. The ever-increasing growth in computational power has resulted in a similar growth in the range of solvable problems in microhydrodynamics. Suitable for graduate students in engineering and applied mathematics, this text treats the mathematical foundations and highlights the interplay of both mathematical and physical insights, guiding readers through single particle theory and problems related to multiparticle analyses.
I. Governing Equations and Fundamental Theorems 1. Microhydrodynamic Phenomena 2. General Properties and Fundamental Theorems II. Dynamics of a Single Particle 3. The Disturbance Field of a Single Particle in a Steady Flow 4. Solutions in Spherical Coordinates 5. Resistance and Mobility Relations 6. Transient Stokes Flows III. Hydrodynamic Interactions 7.General Formulation of Resistance and Mobility Relations 8. Particles Widely Separated: The Method of Reflections 9. Particles Near Contact 10. Interactions Between Large and Small Particles 11. The Complete Set of Resistance and Mobility Functions for Two Rigid Spheres 12. Particle-Wall Interactions 13. Boundary-Multipole Collocation IV. Foundations of Parallel Computational Microhydrodynamics 14. The Boundary Integral Equations for Stokes Flow 15. Odqvist’s Approach for a Single Particle Surface 16. Multiparticle Problems in Bounded and Unbounded Domains 17. Iterative Solutions for Mobility Problems 18. Fourier Analysis for Axisymmetric Boundaries 19. Three-Dimensional Numerical Results References Notation Index