Microfluidics: Modeling, Mechanics and Mathematics

This practical, lab-based approach to nano- and microfluidics provides readers with a wealth of practical techniques, protocols, and experiments ready to be put into practice in both research and industrial settings. The practical approach is ideally suited to researchers and R&D staff in industry; additionally the interdisciplinary approach to the science of nano- and microfluidics enables readers from a range of different academic disciplines to broaden their understanding.

Dr Rapp fully engages with the multidisciplinary nature of the subject. Alongside traditional fluid/transport topics, there is a wealth of coverage of materials and manufacturing techniques, chemical modification/surface functionalization, biochemical analysis, and the biosensors involved.

As well as providing a clear and concise overview to get started into the multidisciplinary field of microfluidics and practical guidance on techniques, pitfalls and troubleshooting, this book supplies:

A set of hands-on experiments and protocols that will help setting up lab experiments but which will also allow a quick start into practical work.

A collection of microfluidic structures, with 3D-CAD and image data that can be used directly (files provided on a companion website).

A practical guide to the successful design and implementation of nano- and microfluidic processes (e.g. biosensing) and equipment (e.g., biosensors, such as diabetes blood glucose sensors).

Provides techniques, experiments, and protocols ready to be put to use in the lab, in an academic, or industry setting.

A collection of 3D-CAD and image files is provided on a companion website.

Part I Fundamentals 1. Introduction 2. Introduction to Maple 3. Engineering Mathematics 4. Series 5. Transforms 6. Thermodynamics 7. Vector Calculus 8. Differential Equations

Part II Bulk Fluid Flows 9. Fluids 10. Conservation of Mass: The Continuity Equation 11. Conservation of Momentum: The Navier-Stokes Equation 12. Conservation of Energy: The Energy Equation and the Thermodynamic Equation of State 13. Continuity and Navier-Stokes Equations in Different Coordinate Systems 14. The Circular Flow Tube 15. Analytical Solutions to the Navier-Stokes Equation 16. Analytical Solutions to Poiseuille Flow Problems in Different Geometries 17. Hydraulic Resistance 18. Analytical Solutions to Transient Flow Problems 19. Taylor-Aris Dispersion

Part III Fluid Surface Effects 20. Surface Tension 21. Capillarity 22. Measuring Surface Tension and Free Surface Energy 23. Plateau-Rayleigh Instability 24. The Shape of Drops

Part IV Numerics 25. Numerical Methods for Linear Systems of Equations 26. Numerical Solutions to Nonlinear Systems: Newton’s Method 27. Numerical Methods for Solving Differential Equations 28. Numerical Solutions to the Navier-Stokes Equation 29. Computational Fluid Dynamics 30. Finite Difference Method 31. Finite Volume Method 32. Finite Element Method 33. Numerical Solutions to Transient Flow Problems 34. Numerical Solutions to Three-Dimensional Flow Problems