Microhydrodynamics, Brownian Motion, and Complex Fluids

Provides a foundation for understanding complex fluids by integrating fluid dynamics, statistical physics, and polymer and colloid science.

Michael D. Graham (Author)

9781107695931, Cambridge University Press

Paperback / softback, published 13 September 2018

278 pages, 57 b/w illus. 75 exercises
24.6 x 17.3 x 1.6 cm, 0.52 kg

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.

Subject Areas: Mechanical engineering [TGB], Chemical engineering [TDCB], Statistical physics [PHS], Fluid mechanics [PHDF], Nonlinear science [PBWR], Applied mathematics [PBW]