Microhydrodynamics. Principles and Selected Applications

Introduction to "Microhydrodynamics: Principles and Selected Applications"

"Microhydrodynamics: Principles and Selected Applications" is an exceptional work that delves deep into the principles and complexities of fluid mechanics at microscales. Authored by Sangtae Kim, Seppo J. Karrila, and Howard Brenner, the book stands as a cornerstone text for researchers, engineers, and advanced students interested in understanding the behavior of fluids and particles in micro-scale systems. Unlike traditional hydrodynamics, microhydrodynamics deals with phenomena where the effects of viscosity dominate, and inertial forces become negligible.

This book bridges the gap between theory and application, providing readers with a versatile toolkit to analyze and solve problems in various microfluidic domains. With a mathematical rigor and physical insight rarely found in textbooks, the authors present a lucid guide to the interplay of physics and mathematics in microscale fluid mechanics. From foundational principles to specialized applications, the book provides a comprehensive roadmap for mastering this subject.

Detailed Summary of the Book

The book is structured to guide readers from fundamental concepts to advanced topics in microhydrodynamics. The early chapters focus on foundational principles, including an introduction to the governing equations of fluid mechanics, such as Stokes flow and the Navier-Stokes equations. A thorough review of mathematical techniques is provided, equipping readers with the necessary tools to model and solve fluid flow problems. The use of asymptotic and numerical methods is also discussed to handle complex geometrical and physical setups.

In the subsequent chapters, the book explores the dynamics of single and multiple particles in a viscous fluid. Specific attention is given to the hydrodynamic interactions between suspended particles, a crucial aspect of understanding behaviors in colloidal suspensions, emulsions, and biological systems. Other key areas include lubrication theory, slender-body theory, and the bead-model representation of flexible particles.

The latter sections are devoted to selected applications of microhydrodynamics in engineering, science, and medicine. From the design of microfluidic devices to particle sedimentation and electrophoresis, the book applies its theoretical framework to solve real-world problems. The authors ensure that readers not only learn the principles but also see their relevance across various interdisciplinary applications.

Key Takeaways

• Gain a deep understanding of the principles governing microhydrodynamics, particularly Stokes flow.
• Master mathematical techniques, such as multipole expansions and boundary integral methods, used for solving microhydrodynamic problems.
• Explore hydrodynamic interactions and their implications in multi-particle systems.
• Learn how to apply microhydrodynamics to real-world contexts, including biological systems and engineered microfluidic devices.
• Understand the physical intuition behind abstract mathematical derivations.

Famous Quotes from the Book

"Microhydrodynamics stands at the confluence of mathematics, physics, and engineering—a discipline where understanding meets application."

"While the Navier-Stokes equations govern all of continuum fluid mechanics, it is Stokes flow that captures the elegance and nuance of microhydrodynamic phenomena."

Why This Book Matters

"Microhydrodynamics: Principles and Selected Applications" is not just a textbook; it is a critical resource for anyone seeking to understand fluid behavior at microscales. As modern engineering and scientific research continue to push boundaries into the realms of nanotechnology, biotechnology, and microfluidics, insights into viscous-dominated flows become indispensable. From biomedical devices to industrial microprocessing applications, microhydrodynamics influences numerous advanced technologies.

What sets this book apart is its balance between theoretical grounding and practical relevance. The authors bring years of experience, offering readers a window into the intricate physics that govern microscale systems while also demonstrating how these principles translate to real-world applications. Whether you are a student, researcher, or practicing engineer, this book provides the foundation needed to innovate and excel in the field.

Furthermore, the clarity of exposition and depth of coverage ensure that both novices and experts can derive immense value from this work. It stands as a beacon for those seeking not only knowledge but also a deeper appreciation of the beauty and complexity underlying microhydrodynamics.