Microfluidics: Modeling, Mechanics and Mathematics, Second Edition provides a practical, lab-based approach to nano- and microfluidics, including a wealth of practical techniques, protocols and experiments ready to be put into practice in both research and industrial settings. This 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. Alongside traditional fluid/transport topics, the book contains a wealth of coverage of materials and manufacturing techniques, chemical modification/surface functionalization, biochemical analysis, and the biosensors involved.

Part I: Fundamentals1. Introduction2. Introduction to Maple3. Engineering Mathematics4. Series5. Transforms6. Thermodynamics7. Vector Calculus8. Differential EquationsPart II: Bulk Fluid Flows9. Fluids10. Conservation of Mass: The Continuity Equation11. Conservation of Momentum: The Navier-Stokes Equation12. Conservation of Energy: The Energy Equation and the Thermodynamic Equation of State13. Continuity and Navier-Stokes Equations in Different Coordinate Systems14. The Circular Flow Tube15. Analytical Solutions to the Navier-Stokes Equation16. Analytical Solutions to Poiseuille Flow Problems in Different Geometries17. Hydraulic Resistance18. Analytical Solutions to Transient Flow Problems19. Taylor-Aris DispersionPart III: Fluid Surface Effects20. Surface Tension21. Capillarity22. Measuring Surface Tension and Free Surface Energy23. Plateau-Rayleigh Instability24. The Shape of DropsPart IV: Numerics25. Numerical Methods for Linear Systems of Equations26. Numerical Solutions to Nonlinear Systems: Newton's Method27. Numerical Methods for Solving Differential Equations28. Numerical Solutions to the Navier-Stokes Equation29. Computational Fluid Dynamics30. Finite Difference Method31. Finite Volume Method32. Finite Element Method33. Numerical Solutions to Transient Flow Problems34. Numerical Solutions to Three-Dimensional Flow Problems