Microfluidics: Modeling, Mechanics and Mathematics

ISBN-13: 9780128240229 / Angielski / Miękka / 2022

Bastian E. Rapp

Spis treści

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