This is an introduction to the dynamics of fluids at small scales, the physical and mathematical underpinnings of Brownian motion, and the application of these subjects to the dynamics and flow of complex fluids such as colloidal suspensions and polymer solutions. It brings together continuum mechanics, statistical mechanics, polymer and colloid science, and various branches of applied mathematics, in a self-contained and integrated treatment that provides a foundation for understanding complex fluids, with a strong emphasis on fluid dynamics. Students and researchers will find that this book is extensively cross-referenced to illustrate connections between different aspects of the field. Its focus on fundamental principles and theoretical approaches provides the necessary groundwork for research in the dynamics of flowing complex fluids.
1. Kinematics, balance equations and principles of stokes flow; 2. Fundamental solutions of the stokes equation and the point-particle approximation; 3. Beyond point particles; 4. Fundamental solutions for bounded geometries; 5. First effects of inertia; 6. Thermal fluctuations and Brownian Motion; 7. Stochastic differential equations; 8. Coarse-grained models of polymers in dilute solution; 9. Rheology and viscoelastic flow phenomena; Appendix. Mathematical background; References; Index.
Michael D. Graham is the Vilas Distinguished Achievement Professor and Harvey D. Spangler Professor of Chemical and Biological Engineering at the University ofWisconsin, Madison. His research focuses on theoretical and computational studies of the fluid dynamics of complex fluids. Among his recognitions are a CAREER Award from the National Science Foundation (NSF), the Francois Frenkiel and Stanley Corrsin Awards from the American Physical Society Division of Fluid Dynamics, and the Kellett Mid-Career Award at the University of Wisconsin, Madison. He has served as associate editor of the Journal of Fluid Mechanics and editor-in-chief of the Journal of Non-Newtonian Fluid Mechanics. He is coauthor of the textbook Modeling and Analysis Principles for Chemical and Biological Engineers (2013).